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 $3,780 with the sample standard deviation of $600. 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. H: (1). H₂ (2). $ (Type integers or decimals.) Find the test statistic for this hypothesis test. test statistic $ 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? (Round to two decimal places as needed.) OA. 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. OB. 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. OC. 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. OD. 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. b. Determine the p-value and interpret its meaning. The p-value is (Round to three decimal places as needed.) What does this p-value mean given the results of part (a)? (1) ○- · 0 Os O > OA. The p-value is the probability that the actual mean cost is more than $3,780. OB. The p-value is the probability that the actual mean cost is $3,927 or less given the sample mean cost is $3,780. OC. The p-value is the probability that the actual mean cost is $3,780 or less. OD. The p-value is the probability of getting a sample mean cost of $3,780 or less if the actual mean cost is $3,927. Οι 0 < (2) * O < Ox O- O z OS
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 $3,780 with the sample standard deviation of $600. 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. H: (1). H₂ (2). $ (Type integers or decimals.) Find the test statistic for this hypothesis test. test statistic $ 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? (Round to two decimal places as needed.) OA. 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. OB. 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. OC. 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. OD. 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. b. Determine the p-value and interpret its meaning. The p-value is (Round to three decimal places as needed.) What does this p-value mean given the results of part (a)? (1) ○- · 0 Os O > OA. The p-value is the probability that the actual mean cost is more than $3,780. OB. The p-value is the probability that the actual mean cost is $3,927 or less given the sample mean cost is $3,780. OC. The p-value is the probability that the actual mean cost is $3,780 or less. OD. The p-value is the probability of getting a sample mean cost of $3,780 or less if the actual mean cost is $3,927. Οι 0 < (2) * O < Ox O- O z OS
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Author:Amos Gilat
Publisher:Amos Gilat
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![13. 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 $3,780 with the sample standard
deviation of $600. 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: μ(1)
H₁:μ (2)
(Type integers or decimals.)
Find the test statistic for this hypothesis test.
test statistic =
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 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 less than $3,927.
C. 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.
D. 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.
$
b. Determine the p-value and interpret its meaning.
The p-value is
(Round to three decimal places as needed.)
What does this p-value mean given the results of part (a)?
ê
0000
A. The p-value is the probability that the actual mean cost is more than $3,780.
B. The p-value is the probability that the actual mean cost is $3,927 or less given the sample mean cost is $3,780.
C. The p-value is the probability that the actual mean cost is $3,780 or less.
D.
The p-value is the probability of getting a sample mean cost of $3,780 or less if the actual mean cost is $3,927.
II VIA
(Round to two decimal places as needed.)
00
AI V
N
0000
VA II
#
00
IA IV](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed5788d2-a0b4-4eb1-998c-a4248e13736e%2F74bc486c-5d90-4f73-be4b-6a80fb393fe5%2Fpw17yfr_processed.png&w=3840&q=75)
Transcribed Image Text:13. 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 $3,780 with the sample standard
deviation of $600. 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: μ(1)
H₁:μ (2)
(Type integers or decimals.)
Find the test statistic for this hypothesis test.
test statistic =
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 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 less than $3,927.
C. 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.
D. 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.
$
b. Determine the p-value and interpret its meaning.
The p-value is
(Round to three decimal places as needed.)
What does this p-value mean given the results of part (a)?
ê
0000
A. The p-value is the probability that the actual mean cost is more than $3,780.
B. The p-value is the probability that the actual mean cost is $3,927 or less given the sample mean cost is $3,780.
C. The p-value is the probability that the actual mean cost is $3,780 or less.
D.
The p-value is the probability of getting a sample mean cost of $3,780 or less if the actual mean cost is $3,927.
II VIA
(Round to two decimal places as needed.)
00
AI V
N
0000
VA II
#
00
IA IV
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