Randomly selected 22 student cars have ages with a mean of 8 years and a standard deviation of 3.4years, while randomly selected 26 faculty cars have ages with a mean of 5.5 years and a standard deviation of 3.3years.1. Use a 0.01 significance level to test the claim that student cars are older than faculty cars.(a) The test statistic is 2.5792(b) The critical value is 2.4102(c) Is there sufficient evidence to support the claim that student cars are older than faculty cars?A. YesОВ. No2. Construct a 99% confidence interval estimate of the difference 4,Hf. where 4, is the mean age of studentcars and ug is the mean age of faculty cars.0.1638< (4, - Hg) < 4.8362

Answered: Randomly selected 22 student cars have…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The breaking strengths of cables produced by a certain manufacturer have a mean, μ, of 1900 pounds, and a standard deviation of 55 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 80 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1912 pounds. Can we support, at the 0.05level of significance, the claim that the mean breaking strength has increased? (Assume that the standard deviation has not changed.) Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round…
The average baptismal ceremony includes 50 guests with a standard deviation of 10. A random sample of 32 baptismal ceremonies during the past year in the NCR had a mean of 53 guests. Is there sufficient evidence at 5% level of significance that the average number of guests differs from the national average?
The ages of a group of 153 randomly selected adult females have a standard deviation of 17.8 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let o = 17.8 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 98% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is . (Round up to the nearest whole number as needed.)
The average baptismal ceremony includes 50 guests with a standard deviation of 10. A random sample of 32 baptismal ceremonies during the past year in the NCR had a mean of 53 guests. Is there sufficient evidence at 5% level of significance that the average number of guests differs from the national average?
A sample of 62 city blocks were taken in Black majority neighborhoods and 58 city blocks in non-Black majority neighborhoods. We are interested in looking at the concentration of Nitrogen Dioxide (NO2), an air pollutant. The average amount of NO2 in Black majority blocks is 11.0362 with a standard deviation of 4.3976, and the average amount of NO2 in non-Black majority blocks is 10.4195 with a standard deviation of 4.9371. Test the claim that the mean NO2 concentration is greater in Black majority than non-Black majority blocks at a = 0.10. Assume that the data come from normal populations with equal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places. Fill in the hypotheses below (click the circle to the left of the correct answer): Ho: MB μNB În po² ? ✓ μNB μB În ²0 р O pO o²d Pn UNB B Ha : Ο μBOpnOpo στο UNB ? This test is Select an answer V
A turkey geneticist wishes to select for breed-ing purposes hens whose eggs have an average weight of 100 grams. Hens with eggs less than or greater than this mean weight are unaccept-able. The mean weight of a sample of 20 eggs from one hen was 97 grams, with a standard deviation of 2.5 grams. Should this hen be kept in the breeding program?
A random sample of 25 people has a sample mean height of 70 inches and a sample standard deviationof 4 inches. Confirm or reject the hypothesis H0:  = 68 inches (H1:  ≠ 68 inches) using  = 0.05.
In tests of a computer component, it is found that the mean time between failures is 909 hours. A modification is made which is supposed to increase reliability by increasing the time between failures. Tests on a sample of 25 modified components produce a mean time between failures of 955 hours. Using a 1% level of significance, perform a hypothesis test to determine whether the mean time between failures for the modified components is greater than 909 hours. Assume that the population standard deviation is 53 hours.
A random sample of 100 recorded deaths in United States during the past year showed that an average lifespan of 70.8 years. Assuming a population standard deviation of 8.7 years, does this deem to indicate that the mean lifespan today is greater than 70 years? Use a 0.05 level of significance.
A football team owner believes that attendance at the home stadium increases when the team has a winning season. He randomly selects 10 seasons when the team won more games than they lost and determines that the mean attendance is 88,532 people and the standard deviation is 1341 people. Ten more seasons are randomly selected from years when the team lost more games than they won with a mean of 86,910 people and a standard deviation of 1521 people. Assume all conditions for conducting a significance test have been met and that the p-value is 0.011. Which of the following conclusions should the owner make? (a) The mean attendance at the home stadium is greater when the team is having a winning season approximately 1.1% of the time. (b) The p-value indicates that the mean attendance at the home stadium is greater when the team is having a winning season at the 1% level of significance. There is a significant difference in mean attendance when the team is winning than when the team is…

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