The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test Ho: P1 = P2 vs Ha: P1 P2 when the samples have ₁ = error of or of P1 P2 from the randomization distribution is 0.05. - Find the value of the standardized z-test statistic. 170 with P₁ = 0.16, and n₂ = 90 with P₂ = 0.24. The standard

1. In your own words, what happens to the F-statistic if two variances are different? 2. If the F-statistic is close to one, what would be the decision of a hypothesis test? 3. What is the value of the F-statistic if one sample has a standard deviation of 0.00436 and another sample has a standard deviation of 0.0057?

Suppose that average rainfall in your city is normally distributed, and for the past 36 months, the rainfall has been 0.5 inches per day on average with a standard deviation of 0.16. Let x be a random variable that has a normal distribution and represents the rainfall in inches per day. Using a 0.05 level of significance, you want to test the hypothesis that monthly rainfall has been 0.7 inches per day on average. What conclusion do you make from your test? Select one: a. Reject H0; the average rainfall is not 0.5 inches. b. Reject H0; the average rainfall is not 0.7 inches. c. Do not reject H0; the average rainfall is still 0.5 inches. d. Do not reject H0; the average rainfall is still 0.7 inches.

These are the summary statistics for independent simple random samples from two populations. x1=23, s1=2, n1=10, x2=29, s2=7, n2=25 Left tailed test, significance level is 0.05 or 95% What is the test statistic, critical value, and conclusion for the hypothesis test?

Suppose a researcher pbserves a population of 12 people and computes SS=204. What is the variance? What is the standard deviation?

BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3000 hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 3160 hours and that the sample standard deviation of the lifetimes is 600 hours. Based on this information, answer the questions below. What are the null hypothesis (H.) and the alternative hypothesis (H,) that should be used for the test? Ho: u is ? H: u is ? In the context of this test, what is a Type I error? A Type I error is ? v the hypothesis that u is? when, in fact, u is ? Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?