week 8 lean six

Consider the following hypothesis test. Ho: H = 15 На: и# 15 A sample of 50 provided a sample mean of 14.05. The population standard deviation is 3. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value (c) At a = 0.05, state your conclusion. Reject Ho. There is sufficient evidence to conclude that u # 15. Reject Ho. There is insufficient evidence to conclude that u + 15. Do not reject Ho. There is sufficient evidence to conclude that u + 15. Do not reject Ho. There is insufficient evidence to conclude that u + 15. O O O O

Why does a confidence interval contain more information than the resultof a single hypothesis test?

A recent study of 88 people showed they ate sandwiches (S) an average of 25.5 times and sd(S)=6.6.Calculate the test t statistic for the following hypothesis:(3 significant digits in final answer) Họ: us = 26.8 Ha: HS 26.8 %3D Answer:

Hotel Prices. Hotel room pricing changes over time (Lodging Magazine), but is there a difference between Europe hotel prices and U.S. hotel prices? The file IntHotels contains changes in the hotel prices for 47 major European cities and 53 major U.S. cities. a On the basis of the sample results, can we conclude that the mean change in hotel rates in Europe and the United States are different? Develop appropriate null and alternative hypotheses. b Use a.01. What is your conclusion?

Consider the following hypothesis test. Ho: Hs 50 На: и > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use a = 0.05. (Round your answers to two decimal places.) (а) х 3D 52.5 Find the value of the test statistic. 2.4206 State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.) test statistic State your conclusion. Reject Ho. There is insufficient evidence to conclude that u > 50. Do not reject Ho. There is sufficient evidence to conclude that u > 50. Reject Ho. There is sufficient evidence to conclude that u > 50. Do not reject Ho. There is insufficient evidence to conclude that u > 50. (b) х %3D 51 Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.) test statistic O O O O

Which of the following measures of central tendency can have more than one value in a single sample? Mode Median Variance Mean

What is the value of the test statistic for a test with a null hypothesis that mu = 250, Xbar = 260 the standard deviation = 5  and n = 100?

Which of the following is a test for serial correlation in the error terms? Johansen test b. Durbin Watson test e White test Dickey Fuller test

Identify the appropriate test to use for the following scenarios: The population of American adults watch 238 minutes of TV per day on average. I believe that providing adults with bicycles will decrease the daily TV-watching. I provide bicycles to 500 American adults and then measure their daily TV watching. The sample watched 204 minutes of TV per day on average. Did the bicycles decrease TV watching? Group of answer choices A)One-Sample T-Test B) Independent Groups T-Test C)Correlated Groups T-Test D) Linear Regression

A company that has a 15% market share launches a marketing campaign. At the end of the campaign period, the company conducts a survey in order to assess whether its market share has increased. From a survey issued to 500 customers after the campaign, the company found that 90 of them were committed to their products.  a.  Write the null and alternative hypotheses. b.  What is the value of the test statistic? c.  What is the associated P-value? d.  State your conclusion using α = 0.05.

A hypothesis will be used to test that a population mean equals 9 against the alternative that the population mean is less than 9 with known variance . What is the critical value for the test statistic for the significance level of 0.025? Round your answer to two decimal places (e.g. 98.76).

A sample of 42 observations is selected from a normal population. The sample mean is 41, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level.   H0: μ = 43 H1: μ ≠ 43   Is this a one- or two-tailed test?   multiple choice 1 One-tailed test Two-tailed test     What is the decision rule?   multiple choice 2 Reject H0 if −1.960 < z < 1.960 Reject H0 if z < −1.960 or z > 1.960     What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)         What is your decision regarding H0?   multiple choice 3 Fail to reject H0 Reject H0     e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)         e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)

You have a regression: Ý 0.42 + 0.9 X₁ - 1.37X2 +0.61X3 (0.24) (0.5) (0.34) N = 50, R² = 0.67 What is the test statistic for Ho: B2 B3 B4 = 0 v.s. H₁ at least one of them is not zero. 28.71 31.13 31.8 46.7

The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). C Ho: Hd = 0 kg H₁: Hd> 0 kg (Type integers or decimals. Do not round.) Identify the test statistic. t = 1.32 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.112 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? September April 51 71 58 81 73 64 64 68 54 54 77 56 82 75 68 60 68 56 a. Use a 0.01 significance level to test the claim that for the population f freshman male college students, the weights in September are less than the weights in the following April.…

ou are conducting a hypothesis test on the body weights of male fraternity members. The research (alternative) hypothesis is that the averge weight is greater than 200 lbs. Your test will be at the 0.01 significance level. You take a sample of 64 men, and find that the sample average is 210 lbs, and the standard deviation is 20 lbs. The value of your test statistic is, therefore, 4.00. Would your test statistic be higher or lower if your sample stats had been estimated from a sample of 640 men, rather than 64?  Group of answer choices Lower The same (neither higher, nor lower). Higher

Next 3 questions are related to the following: A random sample of 1200 vehicles on a freeway are clocked to test the hypothesis that the proportion of vehicles driving above 80 miles per hour is 25%. The number of vehicles in the sample driving above 80 mph is 326. What is the sample proportion? 31 a 0.267 0.272 0.276 d 0.281 32 The test statistic is: a 1.73 1.67 1.60 d 1.54 33 The p-value is, 0.0830 Reject Ho at a = 0.10. 0.0798 Do not reject Ho at a = 0.05. 0.0415 Reject Ho at a = 0.05. 0.0399 Reject Ho at a = 0.05. a b d

Conjecture: the average grade in the class is a 75. What is the alternative hypothesis assuming a 2-tailed t-test? The Average Grade is greater than 75 The Average Grade is less than 75 The Average Grade is not equal to 75 The Average Grade equals 75

Problem in economics: Random samples of 400 men and 600 women were asked whether they would like to have a flyover near their residence. 200 men and 325 women were in favour of the proposal. Test the hypothesis that proportions of men and women in favour of the proposal, are same against that they are not, at 5% level.

QUESTION 23 A lab technician realizes the test he had just conducted gave him a false negative result. What is this an example of?     Type 1 error     Type 2 error     Hypothesis error     Test error

Allegiant Airlines is considering an overbooking policy for one of its flights. The airplane has 50 seats, but Allegiant is considering accepting more reservations than seats because sometimes passengers do not show up for their flights, resulting in empty seats. The PassengerAppearance worksheet in the file Overbooking contains data on 1,000 passengers showing whether or not they showed up for their respective flights. In addition, Allegiant has conducted a field experiment to gauge the demand for reservations for the current flight. During this experiment, they did not limit the number of reservations for the flight to observe the uncensored demand. The following table summarizes the result of the field experiment. No. of Reservations Demanded Probability 48 0.05 49 0.05 50 0.15 51 0.30 52 0.25 53 0.10 54 0.10 Suppose Allegiant receives a marginal profit of $108 for each passenger who books a reservation (regardless of whether they show up). In addition, suppose…

Assume that you have a sample of n, 8, with the sample mean X, 42, and a sample standard deviation of S, = 7, and you have an independent sample of n₂ = 13 from another population with a sample mean of X₂=35 and the sample standard deviation S₂ = 6. Complete parts (a) through (d) below. a. What is the value of the pooled-variance ISTAT test statistic for testing Ho: H+H2? ISTAT = (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? degrees of freedom (Simplify your answer.) c. Using a significance level of a =0.05, what is the critical value for a one-tail test of the hypothesis Ho: H₁5 ₂ against the alternative H₁: ₁₂? The critical value is (Round to two decimal places as needed.) d. What is your statistical decision? OA. Do not reject Ho because the computed ISTAT test statistic is less than the upper-tail critical value. OB. Reject H, because the computed ISTAT test statistic is greater than the upper-tail critical value.…

The hypothesis test H0: μ ≥ 30 vs. Ha: μ = True False 30 has been correctly specified.

You are volunteering for a local nonprofit organization whose mission is to improve child literacy. This organization has asked for your help gathering information on the reading activities that local children engage in. 1. For each of the following scenarios, state the null and alternative hypotheses. Scenario A: You read in a report that preschool-aged children have on average 5.2 books at home. You are concerned that children in your community have fewer books. Scenario B: The nonprofit recently engaged in a campaign to encourage elementary school children to read more. A previous study found that children in your community read in their free time for 48 minutes per day on average. You would like to find out whether the time spent reading among elementary school students increased after the campaign. Scenario C: Your local public library reported last year that the average number of children visiting the library each day was 77. You would like to test whether that has changed.

A report on the U.S. economy indicates that 30% of Americans have experienced difficulty in making mortgage payments.  A news organization randomly sampled 400 Americans from 10 cities named the “fastest dying cities in the U.S.” (Forbes Magazine, August 2008) and found that 140 reported such difficulty. Does this indicate that the problem is more severe among these cities? a.  Write the null and alternative hypotheses. b.  What is the value of the test statistic? c.  What is the associated P-value? d.  State your conclusion using α = 0.05.

We are interested in analysing the effect of the lockout laws introduced in some areas of the Sydney CBD and nearby surrounds on the number of alcohol-related violent incidents.  Suppose we have two samples of data on the number of violent incidents in a number of local areas of the Sydney CBD and nearby surrounds. Pubs, hotels and clubs located in a subset of these areas became subject to the lockout laws when they were introduced in 2014. The first sample is from 2010 before the introduction of the lockout laws, and the second is from 2015 after the introduction of the law. The hypothesis we wish to test is that the introduction of the lockout laws reduces violent incidents in the areas in which the lockout laws were put in place.  We use a difference-in-difference model on the pooled data from 2010 and 2015. We find the following results: viol_inc hat = 33.21 (5.29) + 12.43lockout (7.01) – 4.19Yr2015 (2.98) – 3.32 (lockout x Yr2015) (1.85) N = 181, R^2 = 0.128 Where: viol_incis the…

Consider the following competing hypotheses and accompanying sample data. (You may find it useful table: z table or ttable) Ho: P1 P2 ≥ 0 HA: P1 P2 < 0 x1 = 223 n1 = 418 x2 = 245 n2 = 418 Test statistic reference the appropriate a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.)

ASSISTANCE REQUIRED FOR PART "e" i- vi ONLY, please. Also can you please show step by step how to get null and alternative in the hypothesis?   A car company wants to know the monthly sales made in ($000), based on the brand of vehicle.The data collected was entered on a MINITAB spreadsheet for analysis. Exhibit II below was subsequently generated. Exhibit 2 Model N Mean Median Tri.Mean Std Dev  S.E. Mean Hyundai 23 109 135 107.64  * 1.34 Toyota 27 165 124  143.65 9.5 ** a) Determine the values of * and **. b) Give the unbiased point estimate for the average monthly earning from Hyundai Vehicles.c) Give the unbiased point estimate for the variance of monthly earning from Hyundai Vehicles.d) Assuming normality, construct and interpret a 90% confidence interval for the average monthly earning from Toyota Vehicles. e) You are required to test at the 5% level of significance the hypothesis that the average monthly earnings on Hyundai Vehicles is equal to $110,000 versus the…

Sir Francis Galton, a cousin of James Darwin, examined the relationship between the height of children and their parents towards the end of the 19th century. It is from this study that the name "regression" originated. You decide to update his findings by collecting data from 110 college students, and estimate the following relationship: Studenth=19.6+ 0.73x Midparh, R²=0.45, SER=2.0 (7.2) (0.10) where Studenth is the height of students in inches, and Midparh is the average of the parental heights. Values in parentheses are heteroskedasticity robust standard errors. (Following Galton's methodology, both variables were adjusted so that the average female height was equal to the average male height.) For the following questions except (d), type your answers in two decimal places. (a) If we test for the statistical significance of the slope coefficient, the relevant f-statistic is t = (b) Construct a 95% confidence interval for a one inch increase in the average of parental height: ( (c)…

The sample means, x¯ , is an example of ...   Group of answer choices     an interval estimate   a population parameter   a point estimate   a population statistic

Assume that you have a sample of n, = 7, with the sample mean X, = 43, and a sample standard deviation of S, = 5, and you have an independent sample of n2 = 12 from another population with a sample mean of X, = 35, and the sample standard deviation S, = 6. Construct a 99% confidence interval estimate of the population mean difference between H, and uz. Assume that the two population variances are equal. (Round to two decimal places as needed.)

Taubman et al., (2014) used data collected in the Portland, OR metro area to study the Impact Medicaid on emergency department (ED) use. The figure below shows the percent of respondents who have been to the ED at all (left hand side of the figure) and the average number of ED visits (right hand side of the figure). The dark blue bars represent the mean for the control group, and the light blue bars add in the "Medicaid" effect found in the paper. The black "capped" bar represents the confidence interval for the Medicaid effect. Percent with Any Visits 50 €30 20 10 O Any O O Any and Total ED Use Emergency Department Data Control Mean Control Mean plus Medicaid Effect Cl for Medicaid Effect The results above imply that the price elasticity of demand for emergency department use is Number of Visits perfectly inelastic not perfectly inelastic perfectly elastic