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 in 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 means repair cost was $3,750 with the sample standard deviation of $600. Find the test statistic for this hypothesis test. tStat=__ 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 cost is greater than $3,927. B. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population means the cost is less than $3,927. C. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population means the cost is less than$3,927. D. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population means the cost is greater than $3,927. The p-value is _. What does this p-value mean given the results of part (a)? A.The p-value is the probability that the actual mean cost is$3,750 or less. B. The p-value is the probability that the actual mean cost is $3,927 or less given the sample mean cost is $3,750. C. The p-value is the probability of getting a sample mean cost of $3,750 or less if the actual mean cost is $3,927. D. The p-value is the probability that the actual mean cost is more than $3,750.

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Author:Amos Gilat

Publisher:Amos Gilat

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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 in 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 means repair cost was $3,750 with the sample standard deviation of $600.

Find the test statistic for this hypothesis test.

tStat=____

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 cost is greater than

$3,927.

B. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population means the cost is less than $3,927.

C. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population means the cost is less than$3,927.

D. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population means the cost is greater than $3,927.

The p-value is ___.

What does this p-value mean given the results of part (a)?

A.The p-value is the probability that the actual mean cost is$3,750 or less.

B. The p-value is the probability that the actual mean cost is $3,927 or less given the sample mean cost is $3,750.

C. The p-value is the probability of getting a sample mean cost of $3,750 or less if the actual mean cost is $3,927.

D. The p-value is the probability that the actual mean cost is more than

$3,750.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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