A manufacturer claims that the mean lifetime of its fluorescent bulbs hours. A homeowner selects 40 bulbs and finds the mean lifetime to hours with a population standard deviation of 80 hours. Test the man claim. Use a = 0.05. (a) State the Null and Alternative Hypothesis for this test. (b) Draw the critical region sketch using the 5% level of significance.

Q: Consider the given descrete probability distribution, X : 1 2 3 4 5 P(x): 0.1 0.3 0.1 0.3 0.2…

A: Answer: Given discrete probability distribution is, X          1    2     3    4    5 P(X)   0.1…

Q: When u say value of 0 and 1 do you mean the coefficients? And can you clarify the last part a bit…

A: Yes, I do mean the regression model's coefficients when I refer to "the values of 0 and 1". With…

Q: The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate…

A: The question is about regression Given :   To find : a ) Eq. of estimated reg. equation b ) pt.…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 104 inches and a…

A: given that   mean = 104 standard deviation = 0.6 z score formula=(x-μ)⏟σ

Q: 5 0.0062 4 0.0082 0.0080 0.0060 0.0059 0.0057 0.0078 0.0075 0.0102 0.0099 0.0132 0.0129 3 0.0107…

A: Ho: p=0.8 Vs H1: p>0.8 n=250, X=220

Q: According to a certain government agency for a large country, the proportion of fatal traffic…

A: Hypothesis is an assumption that is being tested.

Q: Listed below are the amounts (dollars) it costs for marriage proposal packages at different baseball…

A: Given data in the question: 37,45,50,60,70,75,85,125,195,205,255,300,500,1750,3000

Q: A researcher wants to determine the percentage given below. Describe how the researcher should apply…

A: A researcher wants to determine the percentage given below.  Claim :  percentage of volunteers that…

Q: Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean…

A: Given that  The steel bolts have diameter of 139 mm and standard deviation of 8 mm Mean (μ) = 139  ;…

Q: The data given to the right includes data from 40 candies, and 9 of them are red. The company that…

A: The question is about confidence interval Given : Total no. of candies ( n ) = 40 No. of candies…

Q: What is the p value if, in a right tail hypothesis test, Z statistic = +1.92 Round to four decimals…

A: Answer:- Given, Z statistic = + 1.92  The test is right tailed hypothesis test. So, we need to find…

Q: A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll,…

A: From the provided information, Sample size (n) = 943 From which 536 said "yes" x = 536 Confidence…

Q: 3. The Lévy distribution with parameter > 0 is characterized by having the density 2023 exp(-21),…

A: a) The likelihood function for a random sample x1,…,xn from the Lévy distribution with parameter θ…

Q: You may need to use the appropriate appendix table or technology to answer this question. You are…

A:

Q: A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a…

A: Null hypothesis: The die is fair Alternative hypothesis: The die is unfair.

Q: Sleep researchers decide to test the impact of REM sleep deprivation on a computerized assembly line…

A: REM Deprived Control Condition 26 20 15 4 8 9 44 36 26 20 13 3 38 25 24 10 17…

Q: To evaluate if auditors might be helped in determining the chances of fraud if they carefully…

A: sample mean [x] =33.19 sample mean [y] =36.65 sample standard deviation [s1] =21.73 sample standard…

Q: If X is a uniformly distributed random varibale with a=2 and b=6, then Calculate the standard…

A: uniform distributiona = 2b = 6X~U(2,6)standard deviation of x = ?

Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.6…

A: From the provided information, Mean (µ) = 253.6 Standard deviation (σ) = 67.7 X~N (253.6, 67.7)

Q: Many studies have suggested a link between exercise and healthy bones because exercise stresses the…

A: The null hypothesis is the nullified statement which can take the symbols, =, ≤, and ≥. The…

Q: Calculate the conditional probability P(B|A) using the following data P(A) = 0.23, P(B) = 0.26,…

A: Answer: From the given data, P(A) = 0.23 P(B) = 0.26 P(A and B) = 0.20

Q: A normally distributed population is having standard deviation 2.8 A sample of 26 is taken randomly…

A: n=26, standard deviations σ=2.8, sample mean X̄=13.6

Q: 0.8 2.2 4.9 6.4 7.9 9.5 11.1 function that models the data, with x equal to the number of years…

A: Solution a: Hence, the exponential function that models the data is y=1.045(1.067)^x.

Q: Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in…

A: The CI gives range of values in which the population parameter lies with certain confidence.

Q: A non-profit organization is collecting data about how alcohol consumption affects academic…

A: Expected frequency - Eij=Ri×CjN Where ,   Ri corresponds to the total sum of elements in ith row Cj…

Q: A random sample of 36 observations has been drawn from a normal distribution... Description   A…

A: Suppose the variable of interest is x. It is given that; x follows normal distribution with mean µx…

Q: If probability of choosing a blue chip from a bucket is 0.29, What is the probability of not…

A: Answer: From the given data, If probability of choosing a blue chip from a bucket is 0.29 P(choosing…

Q: A continuous random variable has a uniform distribution if its values are spread evenly over the…

A: Continuous random variables are those Have values between finite interval or infinite interval .

Q: the number of people with tickets that show up to ride the shuttle. The probability mass function…

A: Here given  Probability mass function of No of people with tickets that show up to ride the shuttle.

Q: When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to…

A: Hypothesized mean µ = 120 bpm Sample size (n) = 20 Mean x̅ = 107 bpm Standard deviation (s) = 45 bpm…

Q: The regression equation between two variables X and y is Y =1.6+2.2 X Find the predicted Y value…

A: Answer: From the given data, The regression equation between two variables X and Y is, Y = 1.6 + 2.2…

Q: Suppose we are interested in calculating a 95% confidence interval for the mean of a normally…

A:

Q: 8. consider the Markov chain given below P = 44 0113 415 1200 LSLLLLLS ONSO O 0113 10 5 1 1 (a) Use…

A: (a) To find the matrices Q and R using the given transition probability matrix P, we first need to…

Q: The previous multiple regression model is significant to what level?

A: From ANOVA table, we know that p-value is 2.06404E-07 which is approximately 0.000.

Q: A researcher intends to estimate the effect of a drug on the scores of human subjects performing a…

A: Answer  given, sample mean [x] =9.29 sample mean [y] =15.79 sample standard deviation [s1] =4.20833…

Q: rst, one of the two sex chromosomes is chosen with equal probak ch X chromosome that is chosen, the…

A: Let's analyze the probabilities of a child being affected by muscular dystrophy based on their sex…

Q: Television viewing reached a new high when the global information and measurement company reported a…

A: Answer: From the given data, Mean (μ) = 7.56 Standard deviation(σ) = 2.8 X follows normal…

Q: Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for…

A:

Q: Researchers wish to carry out a test of the null hypothesis that the mean of a certain population is…

A: The null and alternative hypothesis are H0 : µ = 760H1 : µ ≠ 760  Sample size (n) = 48  test…

Q: What was the power for this study?

A: We need to know the effect size, sample size, significance level, and alternative hypothesis in…

Q: A psychologist is interested in levels of perceived social connection in grade nine students during…

A: Sum of squares = ∑(xi-x)2=9.5 Number of sample (n) = 6

Q: Suppose it is known that in a certain community 30% of the households have a micro-wave oven. If we…

A: Givenp=0.30sample size(n)=19Let "x" no.of households will have micro-wave…

Q: A washing machine in a laundromat breaks down an average of three times per month. Using the Poisson…

A: λ =3 per monthx = no. of breakdowns per monthP(x≤1) = ?

Q: Let X be an exponential random variable with parameter A8, and let Y be the random variable defined…

A:

Q: A sample of 54 research cotton samples resulted in a sample average percentage elongation of 8.14…

A: n=54, sample mean X̄=8.14, s=sample standard deviations=1.47, level of significance ɑ=0.05

Q: Suppose researchers draw a sample of 300 breakfast sandwiches from a certain fast-food restaurant,…

A: The null hypothesis that the true mean sodium content is 1000, against the alternative hypothesis…

Q: For the given probability distribution: X : 0 P(X): 0.22 1 P(X<2)? 0.18 Find the given probability,…

A: Answer: From the given data, X     :      0              1           2              3            4…

Q: Question 1 Scenario 1: The city of Pawnee wants to see how their high school seniors' SAT scores…

A: The most appropriate test statistic to use in scenario 1 would be the independent samples t-test.…

Q: Find the mean and variance of the binimial distribution, p = 0.58 and n = 23

A: Answer: From the given data, P = 0.58   and  n = 23

Q: The average length of a suitcase carried by a passenger boarding a airplane is 29 inches. With a…

A: According to the given information in this question We need to find the following probability