1. The average weight of a group of individuals in a weight loss program was originally 200 pounds. After 2 weeks of the program, a sample of 60 such individuals are considered, and it is found that the average weight for these sampled individuals is 180 pounds with a standard deviation of 80 pounds. What would be the pair of hypotheses to test if the average weight has gone down. A. H0 : μ ≥ 200 vs Ha : μ < 200   B. H0 : μ > 200 vs Ha : μ < 200   C. H0 : μ <200 vs Ha : μ > 200   D. H0 : μ < 200 vs Ha : μ ≥ 200   2.What would be the standard error of the sample mean in problem 1? A. 1.15   B. 1.33   C. 10.33   D. 12   3. What would be the p-value for testing the pair of hypotheses in problem 1?   A. 0.1   B. 0.058   C. 0.05   D. 0.029

From a sample with n = 32, the mean duration of a geyser's eruptions is 3.42 minutes and the standard deviation is 1.12 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 1.18 and 5.66 minutes. At least of the eruptions lasted between 1.18 and 5.66 minutes. (Simplify your answer.)

The average dues paid by students at state universities across the country were $2236 per student last year. The average for a random sample of 500 students this year is $2350. Given the following hypotheses, Ho: 4 = 2236 (The average fees are the same as last year.) Ha: M + 2236 (The average fees are not the same as last year.) compute the p-value for the sample result. Assume the population standard deviation is $724. If the significance level is 5%, can the null hypothesis be rejected?

An IQ test is designed so that the mean is 100 and the standard deviation is 24 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 8 IQ points of the true mean. Assume that o = 24 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. ... The required sample size is. (Round up to the nearest integer.) Would it be reasonable to sample this number of students? O No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number. No. This number of IQ test scores is a fairly large number.

Find the p-value for the hypothesis test. A random sample of size 54 is taken. The sample has a mean of 375 and a standard deviation of 83. H0: µ = 400 Ha: µ< 400 The p-value for the hypothesis test is . rounded to 4 decimal places

A large airline company called Fusion Fly monitors customer satisfaction by asking customers to rate their experience as a 1, 2, 3, 4, or 5, where a rating of 1 means "very poor" and 5 means "very good". The customers' ratings have a population mean of μ = 4.29, with a population standard deviation of a = 1.15. Suppose that we will take a random sample of n=7 customers' ratings. Let x represent the sample mean of the 7 customers' ratings. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find μ- (the mean of the sampling distribution of the sample mean). H₂=0 X (b) Find o- (the standard deviation of the sampling distribution of the sample mean). 0--0 X