We know that the wage distribution in the US is not normally distributed. It is closer to a pareto distribution. We take a random sample of 1000 individuals and compute the sample mean earnings .What is the distribution of ? O t is normally distributed according to the central limit theorem O The distribution is unknown O it has a pareto distribution since it is drawn from a pareto distribution O it has a bernouili distibution Question 5 We randomly sample 1286 high school students in California. The sample average is 659 with standard deviation 18. The State of California set the objective that students perform higher than 650. Are California students performing differently than the state objective? Run a statistical test and assess (2 decimal places) The t-value of the test Its corresponding p-value The lower bound of the 95\% confidence interval is The upper bound of the 951% confidence interval is

Q: Question 11: You are interested in estimating the the mean age of the citizens living in your…

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Q: The average student studies eight hours for a statistics exam and receives a grade of 84. In a…

A: Given that, Claim: Test the hypothesis that the studying twelve hours statistically significantly…

Q: It is commonly believed that the mean body temperature of a healthy adult is 98.6^\circ F. You are…

A: Given Population mean μ=98.6. Data given  92.9,71.4,93,90.8,88,99.1,83.1,78.1,84.1,90.8,97.7,97.7

Q: Calculate the z test statistic and p-value for the above hypothesis test Pvakue

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A: Solution-: Given: P0=0.136,x=12,n=70,α=0.1 (a) We want identify the hypothesis? (b) Test hypothesis…

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A:

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A: From the given information, Sample size n = 1013 Sample mean, x̅=84.4 Sample standard deviation,…

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A: The objective of the study is to test whether trauma patients who receive normal analgesic care will…

Q: Statistics Canada conducts an annual survey to estimate the proportion of Canadians aged 20 - 24…

A: Given Information: Sample size n=496 Out of which x=333 were smokers.

Q: The next seven questions refer to the following scenario: A random sample of 16 Porsche drivers…

A: From the provided information, it is obtained that: For Porsche Drivers:n1=16, x¯1=50, s12=9For…

Q: Use the accompanying paired data consisting of registered boats (tens of thousands) and manatee…

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Q: a) Find the probability that the first lefty is the fourth person chosen.

A: here given p = probability of person is lefty  =0.09 n =4

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A: Here, we know that, when we have small sample or observation then use t-test for independent.

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Q: Suppose that X is a stochastic process with dynamics dXt = µdt +σdWt , where W is a P-Brownian…

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Q: .At a local ice-cream store, 210 people were surveyed on whether they preferred eating ice cream…

A: The total number of people is n = 210.

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A:

Q: A psychologist is interested in constructing a 99% confidence interval for the proportion of people…

A: Given that  n=712 , X=66  99% confidence interval

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Q: ple Size ---64 ple Mean Salary (in $1,000) ---45 ulation Variance ---128 90% confidence interval for…

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Q: Suppose you are in charge of rationing in a province affected by food shortage. The following  Area…

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Q: For a confidence level of 80% with a sample size of 32, find the critical t value.

A: Given that n =32, alpha =0.2

Q: E(E E(Ytj – Ý;,)?) = (nr – r)o² 2 (nT – r)o?

A:

Q: The sample data is given as, 1470 1510 1690 1740 1900 2000 2030 2100 2190 2200 2290 2380 2390 2480…

A: Given data is…

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A: For the given data  What is the estimated standard error for the sample mean difference?

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Q: Match the histograms on the right to the summary statistics given. Standard Mean Median Deviation 60…

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Q: Assume the sample standard deviation is s=10, what do you conclude?

A: here given, sample mean = 87 n = 25 sample standard deviation  = 10

Q: What is the probability of getting an even when you roll a die?    a. 1/3   b. ½   c. ¼

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Q: Fill in the blanks in a portion of life table given below . Age in years Px Ix Lx Tx 4 95,000 500…

A: Solution: From the given information,

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Q: MANCE TASK # 4 % confidence level,n = 12, s 4.93 DIRECTIONS: Find the length of the confidence…

A: Given. n=12, s=4.93, 1-ɑ=0.98

Q: 1. A researcher claims that the United Nationalist Alliance (UNA) will win the election. A total of…

A: We have given that  Favourable cases, X = 2200 Sample size, n = 4300

Q: The average student studies eight hours for a statistics exam and receives a grade of µ = 84. In a…

A: Given Information: μ=84 n=25 x¯=87 s=10 The objective is to test the hypothesis that studying twelve…

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Q: Give the steps how to find the area under the normal distribution. Given P(-0.3>x>0.71).

A: Give the steps how to find the area under the normal distribution. Given P(-0.3>x>0.71).

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Q: wer the question

A: Note : For the 1st question data is missing.I have solved question no.2   Question 2:…

Q: () = ("; ')-(,",) Q1. Show that : %D

A:

Q: The average number of mice in a 5-acre rice field is estimated to be 80. Find the probability that a…

A: Given that  The average number of mice in a 5-acre rice field is estimated to be 80. Find the…

Q: A=66 M=6 The number of rejected quality control items in a production line has a Poisson…

A: GivenA=66M=6Mean of M per dayi.e., 6 per day λ=6Let "x " be the no.of rejected quality control items…

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A: Given Information: Sample size n=16 Sample variance s2=0.012

Q: Which statement is true? If tou rejected the null hypohesis at alpha

A: A hypothesis testing can be performed either by p-value method or the critical value method.