To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a =0.025 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. A Click the icon to view the table of data. Which conditions must be met by the sample for this test? Select all that apply. DA. The sampling method results in an independent sample. OB. The sample size must be large. Table of height data c. The sampling method results in a dependent sample. YD. The sample size is no more than 5% of the population size. E. The differences are normally distributed or the sample size is large. Height of Father, X Height of o Son, Y, 71.1 68.8 67.9 76.2 72.3 70.3 Let d, = X, - Y, Write the hypotheses for the test. Họ: 72.4 74.1 H: 70.4 71.5 69.4 70.1 71.5 73.1 66.7 71.4 72.5 65.5 68.6 66.9 68.7 66.1 67.2 63.7 67.6 62.5

Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…

The football coach randomly selected fifteen players and timed how long each player took to perform a certain drill. The times (in minutes) were: 3.5, 3.3, 3.2, 4.7, 4.4, 3.5, 3.9, 4.5, 4.8, 5.2, 5.4, 4.0, 4.3, 4.1, 5.1 (a) Show that this data approximates a normal distribution.   (b) Determine a 90% confidence interval for the mean time for all players.

Calculate the z-score representing the bottom 10% of an approximately normal distribution. (Use a table or technology. Round your answer to two decimal places.)