Hello Class, Par Inc, is looking at test and models to provide insight on driving distances of golf balls, using two-tailed hypothesis test. Recommending with the sample size that is provided, limits the power of the test. When looking at results there is no significant evidence that provides a difference in mean. The P-Value of 0.195 exceeds the level of 0.05 , which in results fails to reject the null hypothesis. While the current golf ball has an average distance of 32.83 , compared to the new ball which had a 24.8. As stated it provides only a small sample size with these figures. To improve accuracy, Par Inc should conduct additional testing that provides a larger sample size. There are many variables that come into the testing such as environments and understanding the true durability's of the ball to provide the best results. Lastly, at this point no evidence provides supporting in replacing the current golf ball. Respond to this post in a substantive manner, and provide information that they may have missed or may not have considered regarding the application of hypothesis testing in business and economics. Do you agree with their conclusions? Why or why not?

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 -

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 college obtains a simple random sample of 42 students from that country and finds the mean IQ is 103.6 with a standard deviation of 13.5 . Complete parts (a) through (d) below. (a) Consider the hypotheses \( \mathrm{H}_{0}: \mu=100 \) versus \( \mathrm{H}_{1}: \mu>100 \). 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 greater than 100 . C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 100 . D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 100 . Find the test statistic for this hypothesis test. \( \square \) (Round to two decimal places as needed.)

(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

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.)