A report states that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid repair, replacing the hybrid inverter assembly, had a mean repair cost of $3,927 in 2012. Industry experts suspect that the cost will continue to decrease given the increase in the number of technicians who have gained expertise on fixing gas-electric engines in recent months. Suppose a sample of 100 hybrid inverter assembly repairs completed in the last month was selected. The sample mean repair cost was $3,850 with the sample standard deviation of $300. Complete parts (a) and (b) below. a. Is there evidence that the population mean cost is less than $3,927? (Use a 0.10 level of significance.) State the null and alternative hypotheses. Họ: H vs H,: s (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 a = 0.10? O A. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean cost is less than $3,927. O B. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean cost is greater than $3,927. OC. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean cost is greater than $3,927. O D. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean cost is less than $3,927. b. Determine the p-value and interpret its meaning. The p-value isN. (Round to three decimal places as needed.)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
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A report states that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid repair, replacing the hybrid inverter assembly, had a mean repair cost of
$3,927 in 2012. Industry experts suspect that the cost will continue to decrease given the increase in the number of technicians who have gained expertise on fixing gas-electric engines in recent months. Suppose a sample of 100 hybrid inverter
assembly repairs completed in the last month was selected. The sample mean repair cost was $3,850 with the sample standard deviation of $300. Complete parts (a) and (b) below.
a. Is there evidence that the population mean cost is less than $3,927? (Use a 0.10 level of significance.)
State the null and alternative hypotheses.
Ho: H
H: H
$
(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 a = 0.10?
A. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean cost is less than $3,927.
B. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean cost is greater than $3,927.
C. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean cost is greater than $3,927.
D. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean cost is less than $3,927.
b. Determine the p-value and interpret its meaning.
The p-value is:
(Round to three decimal places as needed.)
Transcribed Image Text:A report states that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid repair, replacing the hybrid inverter assembly, had a mean repair cost of $3,927 in 2012. Industry experts suspect that the cost will continue to decrease given the increase in the number of technicians who have gained expertise on fixing gas-electric engines in recent months. Suppose a sample of 100 hybrid inverter assembly repairs completed in the last month was selected. The sample mean repair cost was $3,850 with the sample standard deviation of $300. Complete parts (a) and (b) below. a. Is there evidence that the population mean cost is less than $3,927? (Use a 0.10 level of significance.) State the null and alternative hypotheses. Ho: H H: H $ (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 a = 0.10? A. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean cost is less than $3,927. B. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean cost is greater than $3,927. C. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean cost is greater than $3,927. D. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean cost is less than $3,927. b. Determine the p-value and interpret its meaning. The p-value is: (Round to three decimal places as needed.)
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