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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
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 $3,800 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 0.05 level of significance.) State the null and alternative hypotheses. Ho: H VS (Type integers or decimals.) Find the test statistic for this hypothesis test. test statistic = (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 = 0.05? O A. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean cost is less than $3,927. O B. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population mean cost is greater than $3,927. O C. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean cost is greater than $3,927. O D. Reject the null hypothesis. There is sufficient evidence at the 0.05 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.) What does this p-value mean given the results of part (a)? O A. The p-value is the probability of getting a sample mean cost of $3,800 or less if the actual mean cost is $3,927. O B. The p-value is the probability that the actual mean cost is $3,927 or less given the sample mean cost is $3,800. O C. The p-value is the probability that the actual mean cost is more than $3,800. O D. The p-value is the probability that the actual mean cost is $3,800 or less.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 $3,800 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 0.05 level of significance.) State the null and alternative hypotheses. Ho: H VS (Type :cimals.) Find t c for this hypothesis test. test s Round to two decimal places as needed.) The c for the test statistic is(are). (Rour nal places as needed. Use a comma to separate answers as needed.) Is the idence to reject the null hypothesis using a = 0.05? A t the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean cost is less than $3,927. O B. ull hypothesis. There is sufficient evidence at the 0.05 level of significance that the population mean cost is greater than $3,927. OC it the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean cost is greater than $3,927. O D. Reject the null hypothesis. There is sufficient evidence at the 0.05 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.) What does this p-value mean given the results of part (a)? O A. The p-value is the probability of getting a sample mean cost of $3,800 or less if the actual mean cost is $3,927. O B. The p-value is the probability that the actual mean cost is $3,927 or less given the sample mean cost is $3,800. O C. The p-value is the probability that the actual mean cost is more than $3,800. O D. The p-value is the probability that the actual mean cost is $3,800 or less.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 $3,800 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 0.05 level of significance.) State the null and alternative hypotheses. HOW VS (Type :cimals.) Find t c for this hypothesis test. test S Round to two decimal places as needed.) The c S for the test statistic is(are). (Rour nal places as needed. Use a comma to separate answers as needed.) Is the idence to reject the null hypothesis using a = 0.05? 2 OA t the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean cost is less than $3,927. O B. ull hypothesis. There is sufficient evidence at the 0.05 level of significance that the population mean cost is greater than $3,927. O c it the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean cost is greater than $3,927. OD. ull hypothesis. There is sufficient evidence at the 0.05 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.) What does this p-value mean given the results of part (a)? O A. The p-value is the probability of getting a sample mean cost of $3,800 or less if the actual mean cost is $3,927. O B. The p-value is the probability that the actual mean cost is $3,927 or less given the sample mean cost is $3,800. O C. The p-value is the probability that the actual mean cost is more than $3,800. O D. The p-value is the probability that the actual mean cost is $3,800 or less
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