A metropolitan transportation authority has set a bus mechanical reliability goal of 3,900 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,950 bus miles and a sample standard deviation of 225 bus miles. a. Is there evidence that the population mean bus miles is more than 3,900 bus miles? (Use a 0.10 level of significance.) State the null and alternative hypotheses. H0: μ ___ _____H1: μ ____ _____ (Type integers or decimals.) Find the test statistic for this hypothesis test. tSTAT=______ (Round to two decimal places as needed.) The critical value(s) for the test statistic is(are) _____ (Round to two decimal places as needed. Use a comma to separate answers as needed.) Is there sufficient evidence to reject the null hypothesis using α=0.10? A. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,900 bus miles. B. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,900 bus miles. C. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,900 bus miles. D. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,900 bus miles.
A metropolitan transportation authority has set a bus mechanical reliability goal of 3,900 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,950 bus miles and a sample standard deviation of 225 bus miles. a. Is there evidence that the population mean bus miles is more than 3,900 bus miles? (Use a 0.10 level of significance.) State the null and alternative hypotheses. H0: μ ___ _____H1: μ ____ _____ (Type integers or decimals.) Find the test statistic for this hypothesis test. tSTAT=______ (Round to two decimal places as needed.) The critical value(s) for the test statistic is(are) _____ (Round to two decimal places as needed. Use a comma to separate answers as needed.) Is there sufficient evidence to reject the null hypothesis using α=0.10? A. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,900 bus miles. B. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,900 bus miles. C. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,900 bus miles. D. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,900 bus miles.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A metropolitan transportation authority has set a bus mechanical reliability goal of 3,900 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,950 bus miles and a sample standard deviation of 225 bus miles.
a. Is there evidence that the population mean bus miles is more than
3,900 bus miles? (Use a 0.10 level of significance.)
State the null and alternative hypotheses.
H0: μ ___ _____H1: μ ____ _____
(Type integers or decimals.)
Find the test statistic for this hypothesis test.
tSTAT=______
(Round to two decimal places as needed.)The critical value(s) for the test statistic is(are) _____
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Is there sufficient evidence to reject the null hypothesis using
α=0.10?
Reject the null hypothesis. There is sufficient
evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,900 bus miles.the null hypothesis. There is insufficient evidence at the 0.10
level of significance that the population mean bus miles is greater than
level of significance that the population mean bus miles is greater than
3,900 bus miles.
evidence at the 0.10 level of significance that the population mean bus miles is less than 3,900 bus miles.
level of significance that the population mean bus miles is less than 3,900
bus miles.
bus miles.
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