Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.05 level of significance. Let μ₁ = mean before workout. Select the correct Hypotheses: before 70 62 75 73 60 63 68 after 77 68 80 77 66 65 68 Ho:μα < 0 Ho:μd ≥ 0 Ho:μι = μ2 Ho:μd = 0 Ha: Md 0 Ha: Md <0 Ha: M₁ M2 Ha: Md 0 O Ho:μι Σ με Ha: M₁ < M2 Ηο:μι < με Ha: M₁ M₂

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 distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches

The time to complete an exam is approximately Normal with a mean of 41 minutes and a standard deviation of 7 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes. µ = 41 o = 7 H- 30 u-20 µ-o u+o µ+20 µ+30

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Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose reading from the horse (in mg/100 mg).  92  87  82  107  99  109  85  89  The sample mean x-bar is 93.8. Let x be a random variable representing glucose readings taken from gentle Ben.  We may assume x has a normal distribution, and we know from past experience that the standard deviation = 12.5. The mean glucose level for horses should be mu = 85mg/100gl.  Do these data indicate that gentle Ben have a overall average glucose level higher than 85? Use alpha = 0.05 A- Compute z value of the sample stasistic test. Round answer to 2 decimal places B- Find (or estimte) the P-Value . Round answer to 4 decimal places  I get 1.99 for the z value but cannot come up with correct p-value.

The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions​ (a) through​ (e).