Please don't use Minitab to answer this question. 1. A car manufacturer claims that their new hybrid cars give at least 45 miles per gallon. The mean gas mileage and standard deviation of 23 random hybrid cars were 41 mpg and 10.3 mpg respectively. Is there enough evidence to **refute** the manufacturer’s claim? Use α = 0.05. 1. **Identify the parameter(s)** 2. **Null Hypothesis** 3. **Alternative Hypothesis** 4. **Test Statistic** 5. **Rejection Region or p-value** 6. **Conclusion**There is also a diagram of a bell curve, which represents a normal distribution. This distribution would typically be used to illustrate the rejection region for hypothesis testing. The curve appears symmetrical, with a peak indicating the mean, and tails extending on either side, which represent variability.

Name: Please don't use Minitab to answer this question. 1. A car manufacture
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please don't use Minitab to answer this question. 1. A car manufacturer claims that their new hybrid cars give at least 45 miles per gallon. The mean gas mileage and standard deviation of 23 random hybrid cars were 41 mpg and 10.3 mpg respectively. I

(1) Identify the parameter. The parameter for the given context is determined below as follows: (2) State the hypotheses. That is, the average gas mileage is at least 45 miles per gallon. (3) That is, the average gas mileage is less than 45 miles per gallon. (4) Obtain the value of the test statistic. The value of the test statistic is obtained below: Thus, the value of the test statistic is –1.86.(5) Obtain the P-value. Obtain the degrees of freedom: Use Excel to obtain the probability value. Follow the instruction to obtain the P-value: Open EXCEL Go to Formula bar. In formula bar enter the function as“=TDIST” Enter the test statistic as ABS(–1.86) Enter the degrees of freedom as 22. Enter the tails as 1. Click enter EXCEL output: From the Excel output, the P-value is 0.0382. Thus, the P-value is 0.0382. Sketch the graph corresponding to the P-value. (6) The conclusion is obtained as follows: Use the level of significance as 0.05. The P-value is less than the level of significance. Therefore by the rejection rule, reject the null hypothesis. That is, the average gas mileage is less than 45 miles per gallon. Therefore, There is enough evidence to refute the manufacturer’s claim.