Day Frequency, f A bicycle safety organization claims that fatal bicycle accidents are uniformly distributed throughout the week. The table on the right shows the day of the week for which 783 randomly selected fatal bicycle accidents occurred. At a = 0.10, can you reject the claim that the distribution is uniform? Complete parts a through d below. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 107 112 106 111 120 104 123 Ca) State Ho and H, and identify the claim. Ho: The distribution of fatal bicycle accidents throughout the week is Ha: The distribution of fatal bicycle accidents throughout the week is Which hypothesis is the claim? o Ho o Ha b) Determine the critical value, and the rejection region. = (Round to three decimal places as needed.) Choose the correct rejection region below. O B. Xsx D. X

Over at NAIA, you are observing the average length of flight delays (excluding flights that leave on time). Your notes for ten randomly chosen days are here: Day Ave. delay (hrs:min) 1 2:00 2 1:48 3 0:19 4 0:25 5 2:18 6 0:43 7 0:13 8 0:17 9 0:34 10 3:12 If the airport claims that the delays will be no more than an hour on average, check his claim by doing the following: (a) Write the null hypothesis. (b) Write the alternative hypothesis. (c) Formulate and calculate the test-statistic. Is it a one-tail or two-tailed test? Did the airport told you the truth at 95% confidence level? (d) Determine the confidence interval

The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor µ= 42.0 µ= 51.0 o = 8.7 o = 12 In a particular year, the Best Actor was 40 years old and the Best Supporting Actor was 77 years old. Determine the z-scores for each. Best Actor: z %3D Best Supporting Actor: z = (Round to two decimal places as needed.) Interpret the z-scores. The Best Actor was the mean, which unusual. The Best Supporting Actor was the mean, which unusual.

3.6 Triathlon times, Part II: The distribution for triathlon time varies depending on the population you are describing. The distribution for men ages 30 - 34 is N(µ=4337, o-593). The distribution for women ages 25 - 29 is N(H=5287, o=834). Note, these distributions list the triathlon times in seconds. Use this information to compute each of the following. Round all your answers to 2 decimal places. a) The cutoff time for the fastest 5.5% of athletes in the men's group, i.e. those who took the shortest 5.5% of time to finish. b) The cutoff time for the slowest 10% of athletes in the women's group.

Question D. Give a 95% interval estimate of the number of fatal accidents per 1000 licenses in a city where 15% of the licensed drivers are under 21. Same data set as above.

A political newspaper, Politically Sound, is interested in the distances voters in Rising Falls County live from their nearest polling station. Politically Sound has hired you to estimate the population mean of all such distances for voters in this county. To estimate this population mean, you select a random sample of 17 Rising Falls County voters and record the distance (in km) each voter lives from their nearest polling station. Assume the population is approximately normally distributed. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Number of voters 17 Sample mean 4.757 Sample standard deviation 2.363 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the…

Q.8

Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone. x 1004 975 992 935 989 922 y 40 100 65 145 84 153             (c) Use a calculator to verify that         x = 5817,          x2 = 5,645,135,          y = 587,          y2 = 67,315 and         xy = 561,857. Compute r. (Round your answer to three decimal places.)