3. A random sample of 25 observations taken from a population that is normally distributed produced asample mean of 58.5 and a standard deviation of 7.5. Find the critical and observed values of t for eachof the following tests of hypothesis using a = 0.01.a) H:μ = 55Ha: μ > 55b) Ho:μ = 55Ha: μ # 55

Answered: Image /qna-images/answer/e3d7e37b-00c7-43ba-bea8-611175e772b3.jpg

Answered: 3. A random sample of 25 observations…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a hypothesis test with hypotheses Ho: μ ≤ 54 and H1: μ > 54, a random sample of 24 elements selected from the population produced a mean of 58.6 and a standard deviation of 13.4. The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the critical value of t ?
A random sample of 14 observations taken from a population that is normally distributed produced a sample mean of 212.37 and a standard deviation of 16.35. Using the table in Appendix E3, find the critical and observed values of t for each of the following tests of hypotheses, using α = 0.1. a)H0: µ = 205 versus H1: µ ≠ 205 b)H0: µ ≤ 205 versus H1: µ > 205
The sales representative for a manufacturer of a new product claims that the product will increase output per machine by more than 30 units per hour. A line manager installs the product on 15 of the machines and finds that the average increase was only 26 with a standard deviation of 6.2. What are the appropriate null and alternative hypotheses? H0 : μ = 30 and H1: μ ≠ 30 H0 : μ < 30 and H1: μ > 30 H0 : μ = 30 and H1: μ > 30 H0 : μ > 30 and H1: μ ≤ 30
23. The State of California claims the population average of the amount of ice cream each Californian eats in the month of September is 6.85 pints with population standard deviation of 1.35 pints. An SRS of 500 Californians resulted in a sample average of 6.75 pints eaten per person in the month of September At alpha = 0.05 , is there evidence to support the State of California's claim that Californians eat an average of 6.85 pints of ice cream in the month of September? Find the p-value ?
The sample mean and standard deviation from a random sample of 29 observations from a normal population were computed as ?¯=23x¯=23 and s = 6. Calculate the t statistic of the test required to determine whether there is enough evidence to infer that the population mean is greater than 21. Test Statistic =
11. The process used to grind certain silicon wafers to the proper thickness is acceptable only if s, the population standard deviation of the thickness of dice cut from the wafers, is at most 0.50 mil. Use a = 0.05 to test the null hypothesis s = 0.50 against the alternative s > 0.50, if the thickness of 15 dice cut from such wafers have a standard deviation of 0.64 mil. Use the 5 step method.
The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using α = 0.05 with the following data: Men Women Sample mean 64.5 years 63.6 years Sample size 35 39 Population standard deviation 3.0 years 3.5 years If Population 1 is defined as men and Population 2 is defined as women, the p-value for this hypothesis test would be ________.
A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 105.6 90.9 91.2 96.9 96.5 91.3 100.1 105.5 99.6 107.7 103.3 92.4 Does this data suggest that the population mean reading under these conditions differ from 100? State the null and alternative hypotheses. Calculate, correct to 2 decimal places, the sample mean, x ; and the sample standard deviation, s. Evaluate the appropriate test statistic. Test these hypotheses at 05 level of significance.
Recently, the annual number of driver deaths per 100,000 for the selected age groups was as follows: Age Number of Driver Deaths per 100,000 16–19 38 20–24 36 25–34 24 35–54 20 55–74 18 75+ 28 Use the 4 steps of hypothesis testing to see if the prediction is significant with a criteria of alpha=.05 on the following data For each age group, pick the midpoint of the interval for the X value. (For the 75+ group, use 80.)
.A sample of 9 measurements, randomly selected from a normally distributed population, resulted in x= 2.6, and s= 0.9 Conduct a hypothesis test to verify the claim that the population mean is greater than 2.5 . Use a=.05
24. The State of California claims the population average of the amount of ice cream each Californian eats in the month of September is 6.85 pints with population standard deviation of 1.35 pints. An SRS of 500 Californians resulted in a sample average of 6.75 pints eaten per person in the month of September. At alpha = 0.05 , is there evidence to support the State of California's claim that Californíans eat an average of 6.85 pints of ice cream in the month of September? True or False : Since the p-value is greater than alpha we fail to reject the null hypothesis. True False
An electrical engineer wishes to determine if, among two specific municipal buildings in town, Building “North” and Building “South”, whether the tensile strength of pipes (in psi) is not the same in each of these two buildings. A sample of pipes was chosen at random from both Building “North” and Building “South”, respectively. Using α = 0.05, which of the following statistical test, or parameter, would be best for determining whether tensile strength of pipes (in psi) is not the same in each of these two buildings? (Assume all statistical assumptions met.) a) Binomial Distribution b) Population Difference in Means (i.e., Unpaired Data) c) The Chi-Squared Test of Independence d) Population Mean Difference (i.e., Paired Data)

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