Part 1 of 2 (a) Construct a 99% confidence interval for the population mean u. Enter the values for the lower and upper limits and the mean to graph. Round the answers to one decimal place. 99% confidence interval 51.5 58.4 55.0 45.0 64.0

A survey found that​ women's heights are normally distributed with mean 62.2in. and standard deviation 3.7in. The survey also found that​ men's heights are normally distributed with mean 67.7in. and standard deviation 3.5in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57in. and a maximum of 62in.  Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is

What is the minimum sample size required to estimate the population mean (mu) with 90% confidence if the desired margin of error is 1.2? The population standard deviation is estimated as 3.5.

Determine the sample size necessary to estimate a population mean within 1 with 90% confidence given that the population standard deviation is 10.

For a particular process that is in good statistical control, the mean standard deviation value, sbar, is 0.162. Calculate the estimate for the population standard deviation (the Shewhart standard deviation) if the sample size is 3.

Ages of pennies have a mean of 11.13 years and standard deviation of 9.01 years. Suppose we take a sample of 200 pennies from a bank (one roll has 50 cents). What is the total (sample sum) of the sampling distribution of the sample sum of ages of these pennies?

Salaries for senior Civil engineers per year have known mean of 80 K dollars and standard deviation 4.6 K dollars. Provided that the salaries per year for senior Civil engineers have a nearly symmetric/bell-curve distribution, what percent (%) of Civil engineers have salary between 70.8 K and 84.6 K dollars?

The mean score on the exit examination for an urban high school is 66with a standard deviation of 6.What is the mean of the resulting distribution of sample means for n=​9?

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 ​adults, how many consume at least 320 mg of caffeine​ daily?

A random sample of 100 pumpkins is obtained and the mean circumferenceis found to be 40.5 cm and standard deviation 1.6 cm. Use a 0.05 significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm.