In: Statistics and Probability
Suppose you know that the weight of standard poodles is normally distributed with a standard deviation of 5 pounds. You take a SRS of 8 poodles and find their average weight to be 52 pounds. a) construct and interpret a 95% confidence interval for the mean weight of all standard poodles. b)Repeat part (a) but change the confidence level to 99% c) Explain what 95% confidence means (for the rest of this problem use the sample from before plus the following: Somebody tells you that the average weight of standard poodles is 55 pounds d) Run a two-sided significance test with significance level 5% to see if this person is correct or not e)You have reason the believe that this this person is wrong and that the average is actually smaller than they claim. Run the appropriate one-sided significance test with significance level of 5% f) Somebody else believe that this person is wrong, and that the average is actually larger than the first person claimed. Run the appropriate one-sided significance test with a significance level of 5% g) compare your three answers above.