The mean weight for college students is 175 pounds. A sample of 30 students at a college is taken, and the mean of the sample is 180 pounds with standard deviation 20 pounds. A company wants to see if the weights of the students at the college are statistically different from the national average at the 95% confidence level. Find the p-value in the table for the table value of t closest to the calculated value of the test statistic (round to 2 decimal places).

A sample of 106 body temperatures was taken and the mean was 98.2 degrees F. The population standard deviation is 0.62 degrees.  Use a 0.05 level of significance to test the claim that the average body temperature is actually different than 98.6 degrees F.  Find the 95% confidence interval of the mean temperature and compare your results.

You would like to estimate the variance of sick days at a Fortune 500 company.  You randomly select 15 employees and record how many sick days they have used in the past year and you get a sample standard deviation of 1.2.  Provide a 95% confidence interval estimate of the population variance.

You measure 40 dogs' weights, and find they have a mean weight of 71 ounces. Assume the population standard deviation is 9.6 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places ounces

The strength of the welds in a new manufacturing process is measured by the amount of weight needed to break the weld. The strength of the welds is normally distributed with mean 583 pounds. 30% of the welds had strength less than 500 pounds. What is the standard deviation of the strength of the welds?

An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines, "The students in this town don't have the necessary skills.  The overall student population is less than what is reported at the state level" The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points. a. State the null (H0) and alternative (Ha) hypotheses. b. Give the standard score for the data. c. Find the P-value for this significance test. e. Sketch your results on the standard Normal distribution f. Summarize the conclusion in the context of this problem.

In a random sample of 2500 men being treated for obesity, the mean total cholesterol level is 175 with a standard deviation of 25.       Construct a 95% confidence interval around the mean and interpret it. Use the context of the question please.

You are part of a trivia team and have tracked your team's performance since you started playing, so you know that your scores are normally distributed with u = 76 and o = 12. Recently, a new person joined the team, and you think the scores have gotten better. The sample data is n = 12, sample mean = 86 Assuming a one tailed test, What is the test statistic?

A random sample of 64 shoppers showed that they spend an average of $27.31 per visit at the Sunday Mornings Bookstore. The standard deviation of the population is $2.14. Find the 90% confidence interval of the true mean. Please include all work showing how you found your answer.

For a group of 20 students taking a PSDTF test, the mean heart rate was 96 beats per minute, and the standard deviation was 5. Find the 95% confidence interval of the true mean.