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11) A sociologist wants to know if there is a correlation between the ages of spouses. The following table lists the ages of nine randomly selected married couples. Age of 49 25 40 52 58 32 43 42 47 husband Age of 43 28 30 57 52 27 52 43 43 wife a) Find the correlation r between the ages of the husbands and the wives. b) Find critical values for r. c) Determine if there is significant linear correlation between the ages of the husbands and the wives using a 0.05 significance level. d) Clearly state the conclusion.Hypothesis Tests 13) Identify the null hypothesis, alternative hypothesis, test statistic, Pvalue, initial and nal conclusion. Citrus farmers who are growing mandarin oranges calculated the standard deviation of the diameters of 28 randomly selected harvested mandalin oranges. The standard deviation is 0.24 centimeters. The citrus farmers claim that the population standard deviation of the diameters of mandarin oranges is equal to 0.25 centimeters. Use 0.01 as the signicance level to test the citrus farmers' claim. 14) Cardiac Arrest: Among 43,592 inhospital patients who had cardiac arrest dunng the day, 23,549 survived. Among 27,963 patients at night, 7,804 survived. Use a 0.01 signicance level to test the claim that survival rates are the same for day and night. a) If you are the media spokesperson for this hospital, what are you trying to convince the public? b) Use the Pvalue method of hypothesis testing. 0) Use the Condence Interval method. Use the following information to answer problems 15a and 15b. A light bulb manufacturer advertises that the average life for its light bulbs is 900 hours. A random sample, from a normally distributed population, of 15 of its light bulbs resulted in the following lives in hours. Test the claim at the 10% significance level. 995 590 510 539 739 917 571 555 916 728 664 693 708 887 849 15a) Which method will you use and why? 15b) Use the method to solve the