A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 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 3,825 bus miles and a sample standard deviation of 175 bus miles. Complete parts (a) and (b) below. Question content area bottom Part 1 a. Is there evidence that the population mean bus miles is more than 3,800 bus miles? (Use a 0.05 level of significance.) State the null and alternative hypotheses. H0: μ ▼ equals= less than or equals≤ greater than> greater than or equals≥ not equals≠ less than< enter your response here H1: μ ▼ greater than> not equals≠ less than< less than or equals≤ equals= greater than or equals≥ enter your response here (Type integers or decimals.) Part 2 Find the test statistic for this hypothesis test. tSTAT=enter your response here (Round to two decimal places as needed.) Part 3 The critical value(s) for the test statistic is(are) enter your response here. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Part 4 Is there sufficient evidence to reject the null hypothesis using α=0.05? A. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean bus miles is less than 3,800 bus miles. B. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population mean bus miles is greater than 3,800 bus miles. C. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean bus miles is greater than 3,800 bus miles.
A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 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 3,825 bus miles and a sample standard deviation of 175 bus miles. Complete parts (a) and (b) below. Question content area bottom Part 1 a. Is there evidence that the population mean bus miles is more than 3,800 bus miles? (Use a 0.05 level of significance.) State the null and alternative hypotheses. H0: μ ▼ equals= less than or equals≤ greater than> greater than or equals≥ not equals≠ less than< enter your response here H1: μ ▼ greater than> not equals≠ less than< less than or equals≤ equals= greater than or equals≥ enter your response here (Type integers or decimals.) Part 2 Find the test statistic for this hypothesis test. tSTAT=enter your response here (Round to two decimal places as needed.) Part 3 The critical value(s) for the test statistic is(are) enter your response here. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Part 4 Is there sufficient evidence to reject the null hypothesis using α=0.05? A. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean bus miles is less than 3,800 bus miles. B. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population mean bus miles is greater than 3,800 bus miles. C. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean bus miles is greater than 3,800 bus miles.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
Related questions
Question
A metropolitan transportation authority has set a bus mechanical reliability goal of
3,800
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
3,825
bus miles and a sample standard deviation of
175
bus miles. Complete parts (a) and (b) below.Question content area bottom
Part 1
a. Is there evidence that the population mean bus miles is more than
3,800
bus miles? (Use a
0.05
level of significance.)State the null and alternative hypotheses.
H0:
μ
enter your response here▼
equals=
less than or equals≤
greater than>
greater than or equals≥
not equals≠
less than<
H1:
μ
enter your response here▼
greater than>
not equals≠
less than<
less than or equals≤
equals=
greater than or equals≥
(Type integers or decimals.)
Part 2
Find the test statistic for this hypothesis test.
tSTAT=enter your response here
(Round to two decimal places as needed.)Part 3
The critical value(s) for the test statistic is(are)
enter your response here.
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Part 4
Is there sufficient evidence to reject the null hypothesis using
α=0.05?
Do not reject
the null hypothesis. There is
insufficient
evidence at the
0.05
level of significance that the population mean bus miles is less than
3,800
bus miles.Reject
the null hypothesis. There is
sufficient
evidence at the
0.05
level of significance that the population mean bus miles is greater than
3,800
bus miles.Do not reject
the null hypothesis. There is
insufficient
evidence at the
0.05
level of significance that the population mean bus miles is greater than
3,800
bus miles.Expert Solution
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