Compute the test statistic Hypothesized MeanDifferencedft StatP(T<=t) one-tailP(T<=t) two-tail015--0.0000005250.000001005 X+5. The average annual cost (including tuition, room, board, books, and fees) to attend a publiccollege takes nearly a third of the annual income of a typical family with college-age children(Money, April 2012). At private colleges, the average annual cost is equal to about 60% of theand public colleges. Data are in thousands of dollars.typical family's income. The following random samples show the annual cost of attending privatePrivate 52.8 43.2 4533.3 4430.6 45.8 37.8 50.5 42Public 20.3 2228.2 15.6 24.1 28.5 22.8 25.8 18.5 25.6 14.4 21.8We want to conduct a hypothesis test to determine whether the cost of attending private collegesis significantly higher than the cost of attending public colleges. Use a = 0.05. A portion of EXCELoutputs is displayed in the following table.t-Test: Two-Sample Assuming UnequalVariancesPrivatePublic42.522.3Mean48.720.5Variance1210ObservationsHypothesized MeanDifferencedft Stat015COCMacBook Pro

here from given information for private mean = x¯= 42.5 variance = s2x = 48.7 sample size nx = 10…

Answered: Compute the test statistic

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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random sample of dogs studied by a veterinarian was found to have the following lifespans, in years: {14, 18, 6, 9, 13}. The veterinarian inquired about each dog’s mother and found the mothers’ lifespans to be: {10, 19, 13, 8, 24}. What is the sample covariance between offsprings lifespans and mothers’ lifespans? Consider X, a random variable with a standard normal distribution. What is the probability that X is greater than -0.4?
Explain The J-statistic under homoskedasticity?
A random sample of residents from various income brackets were asked their opinion on tax reform for the country of Guyana. The data so gathered were analyzed by a statistician and the results he obtained using MINITAB are shown below: Expected counts are printed below observed counts Low Middle нigh Total For 26 75 14 115 (30.67) (51.11) (33.22) Against 60 95 105 260 (69.33) (115.56) (** ) Neutral 34 30 11 75 (20) (33.33) (21.67) Total 200 130 450 Chi-są 0.71 + 11.17 + 11.12 + *** 3.66 + 11.89 + 9.8 + 0.33 + 5.25 = 55.2 DF = ??, p-value =??? a) Carefully define the null and alternative hypotheses of the x2 test underlying the generation of the above table. b) Find the missing values **, **', ****, '??' and ???’. c) What is the conclusion of this test? Give reasons for your answer.
Persons who visit the restroom of a certain fast-food outlet were asked to state their opinion of the quality of the restroom facilities. The following tables show the responses from a sample of 100 persons. An X2 test is carried out to determine whether there is an association between the gender of persons and their opinion. State appropriate null and alternative hypotheses Determine the critical region of the test at the 1% level of significance Calculate the expected value for Male and below average For a test statistic of 9.825, explain with reason, the conclusion of your test.
A random sample of residents from various income brackets was asked their opinion on tax reform for the country of Guyana. The data so gathered were analyzed by a statistician and the results he obtained using MINITAB are shown below: Expected counts are printed below observed counts Low Middle High Total For 26 (30.67) 75 (51.11) 14 (33.22) 115 Against 60 (69.33) 95 (115.56) 105 (**) 260 Neutral 34 (20) 30 (33.33) 11 (21.67) 75 Total * 200 130 450 Chi-sq = 0.71 + 11.17 + 11.12 + *** + 3.66 + 11.89 + 9.8 + 0.33 + 5.25 = 55.2 DF =??, p-value =??? Carefully define the null and alternative hypotheses of the ?2 test underlying the generation of the above Find the missing values ‘*’, ‘**’, ‘***’, ‘??’ and ‘???’. What is the conclusion of this test? Give reasons for your answer.
Lifetimes of batteries in a certain application are normally distributed with mean 50 hours and standard deviation 5 hours. Find a) the probability that a randomly chosen battery lasts between 42 and 52 hours. b) the 40th percentile of battery lifetimes. This is the battery lifetime having probability of being less equal to 40%.
The local utility company checks a sample of utility bills each month to assure the accuracyof the billing statements. The data in the table below shows the number of incorrect bills(defects) out of a sample of 100 statements each time. Construct a control chart using 3-sigmalimits based on this data. Is the process “in statistical control”?

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