Suppose x has a normal distribution with mean u = 42 and standard deviation o = 13. Describe the distribution of x values for sample size n = 4. (Round o, to two decimal places.) H = Describe the distribution of x values for sample size n = 16. (Round o, to two decimal places.) Describe the distribution of x values for sample size n = 100. (Round o, to two decimal places.) Hj = How do the x distributions compare for the various samples sizes? The means are the same, but the standard deviations are decreasing with increasing sample size. The standard deviations are the same, but the means are increasing with increasing sample size. The standard deviations are the same, but the means are decreasing with increasing sample size. The means and standard deviations are the same regardless of sample size. The means are the same, but the standard deviations are increasing with increasing sample size.

Shaded diagram.. 3. The random variable X has a normal distribution with mean 80 and standard deviation 6. Choose random samples of size 40 from this distribution. Let X be the random variable of sample means. (5) a. What is the distribution of X ? (5) b. What is the mean of X ? y

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…

You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 24 night students and 28 day students and their GPA's are recorded below. Test the claim using a 1% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places.   GPA-Night GPA-Day 3.05 3.38 2.91 3.02 3.27 3.4 3.29 2.73 3.3 3.24 3.35 2.69 3.39 3.25 3.52 3.33 3.39 2.33 3.25 3.51 3.08 3.07 3.27 2.9 3.32 3.48 3 2.94 3.62 2.93 3.64 3.31 3.54 2.62 3.45 2.66 3.29 3.27 3.56 2.76 3.15 2.7 3.4 3.27 3.51 2.96 3.54 2.86   3.24   2.72   2.64   3.14   What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem.H0: Select an answer x̅₂ s² x̅₁ σ² μ₂ μ₁ p   ? = ≠ > < ≥ ≤  Select an answer 0 μ₂ x̅₂ x̅₁ σ² p s² μ₁ H1: Select an answer σ² x̅₂ x̅₁ μ₁ μ₂…

Next Question Assume that a randomly selected subject is given a bone density test. Those test s Draw a graph and find the probability of a bone density test score between - 2.15 and 2.15. distributed with a mean of 0 and a standard deviation of 1. ..... Sketch the region. Choose the correct graph below. A. В. С. D. -2.15 2.15 -2.15 2.15 -2.15 2.15 -2.15 2.15 The probability is (Round to four decimal places as needed.)

Suppose x has a normal distribution with mean ? = 53 and standard deviation ? = 7.Describe the distribution of x values for sample size n = 4. (Round ?x to two decimal places.) ?x =  ?x =  Describe the distribution of x values for sample size n = 16. (Round ?x to two decimal places.) ?x =  ?x =  Describe the distribution of x values for sample size n = 100. (Round ?x to two decimal places.) ?x =  ?x =

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The degrees of freedom used when testing two independent samples where the population standard deviation is unknown is Group of answer choices a.n1 + n2 - 2. b.the smaller of n1 - 1 or n2 - 1. c.n1 + n2 - 1. d.the larger of n1 - 1 or n2 - 1.

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