-Assuming equal sample size (m = n) and A' = -0.25, what should e sizes be if we want to detect such a departure from the null s with probability of 0.9?
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- The fire department of a city wants to test the null hypothesis that σ =10 minutes for the time it takes a fire truck to reach a fire site against thealternative hypothesis σ 6= 10 minutes. What can it conclude at the 0.05 levelof significance if a random sample of size n = 48 yields s = 9.5minutes?The fire department of a city wants to test the null hypothesis that σ = 10 minutes for the time it takes a fire truck to reach a fire site against the alternative hypothesis σ 6= 10 minutes. What can it conclude at the 0.05 level of significance if a random sample of size n = 30 yields s = 9.5 minutes? Assume normality.A simple random sample of size 200 is taken from a much larger group of male wrestlers prior to a competition. The average weight in the sample is 190 pounds, with an SD of 20 pounds. The average weight of the population is estimated to be 190 pounds, and this estimate is likely to be off by about _______.
- To test H0: μ = 50 versus H1: μ < 50, a random sample of size n = 24 is obtained from a population that is known to be normally distributed with σ = 12a) If the sample is determined to be x = 47.1, compute the test statistic.b) If the researcher decides to test this hypothesis at α = 0.05 level of significance, determine the P-value.A simple random sample of size n=46is obtained from a population with μ=46 and σ=5. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of x?A researcher obtains t=2.25 for a repeated measures study using a sample of n=10 participants. Based on this t value, what is the correct decision for a two- tail test at .05 and .01 alpha level?