Par, Inc., is a major manufacturer of golf equipment. Management believes that Par's market share could be increased with the introduction of a cut-resistant, longer-lasting golf ball. Therefore, the research group at Par has been investigating a new golf ball coating designed to resist cuts and provide a more durable ball. The tests with the coating have been promising. One of the researchers voiced concern about the effect of the new coating on driving distances. Par would like the new cut-resistant ball to offer driving distances comparable to those of the current-model golf ball. To compare the driving distances for the two balls, 40 balls of both the new and current models were subjected to distance tests. The testing was performed with a mechanical hitting machine so that any difference between the mean distances for the two models could be attributed to a difference in the two models. The results of the tests, with distances measured to the nearest yard, follow. Discuss whether you identify a need for larger sample sizes and more testing with the golf balls.

If the number 31 is added to the data set \( 3,5,6,6,8,11,12,22,26 \), by what value will the average of the data set increase?

Suppose the mean IQ score of people in a certain country is 100 . Suppose the director of a colle obtains a simple random sample of 40 students from that country and finds the mean IQ is 103.7 with a standard deviation of 13.6. Complete parts (a) through (d) below. B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 100 . The director is testing if the sample provided sufficient evidence that the population mear IQ score is actually greater than 100 . D. The director is testing if the sample provided sufficient evidence that the population mear IQ score is actually not greater than 100 . Find the test statistic for this hypothesis test. 1.72 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. (Round to three decimal places as needed.)

Find the test statistic for this hypothesis test. 1.72 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. (Round to three decimal places as needed.) Set more help -

(b) Consider the hypotheses \( \mathrm{H}_{0}: \mu=103 \) versus \( \mathrm{H}_{1}: \mu>103 \). Explain what the director is testing. Perform the test at the \( \alpha=0.01 \) level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 103 . B. The director is testing if the sample provided sufficient evidence that the population mean lQ score is actually not equal to 103 . The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 103 . C. Thesting if the sample provided sufficient evidence that the population mean lQ score is actually greater than 103 . Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) an example

If the number 31 is added to the data set \( 3,5,6,6,8,11,12,22,26 \), by what value will the average of the data set increase?