Assume that we want to construct a confidence interval. Do one of the following, as appropriate: Find the critical value tα/2​ Find the critical value zα/2​ State that neither the normal distribution nor the t distribution applies. The confidence level is 95​%, σ is not known, and the histogram of 58 player salaries (in thousands of dollars) of football players on a team is as shown.

A sample of 8 adult elephants had an average weight of 12,300 pounds. the standard deviation for the sample was 22 pounds. find the 95% confidence interval of the population mean for the weights of adult elephants. (the t distribution, table F, must be used for the confidence interval.)

Construct the indicated confidence interval for the population mean u using the​ t-distribution. Assume the population is normally distributed.c​=0.95, x=14.6, s=2.0, n=5

A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=120.5 and the sample standard deviation is found to be s=13.4. Construct a​ 99% confidence interval for the population mean.   What is the lower and upper bound?

Construct the confidence interval for the population mean μ. c=0.90​, x=16.7​, σ=7.0​, and n=45

If X=115​, σ=22​, and n=36​, construct a 95​% confidence interval estimate of the population​ mean, μ.   Click here to view page 1 of the cumulative standardised normal distribution table. LOADING... Click here to view page 2 of the cumulative standardised normal distribution table. LOADING...       The 95​% confidence interval is enter your response here≤μ≤enter your response here. ​(Round to two decimal places as​ needed.)

An experiment was designed to estimate the mean difference in weight gain for pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each pair were litter-mates. The rations were assigned at random to the two animals within each pair. The gains (in pounds) after 45 days are shown in the following table. Assuming weight gain is normal, find the 99% confidence interval estimate for the mean of the differences ?d, where d = ration A - ration B. (Give your answers correct to two decimal places.) Litter 1 2 3 4 5 6 7 8 Ration A 54 46 37 50 44 50 56 51 Ration B 47 42 27 43 37 42 53 48 Lower Limit   Upper Limit

A simple random sample of size n=51 is taken from a normally distributed original population. The sample standard deviation is s=27. Find the 95% confidence interval for the population standard deviation O.