Unit 4 Lesson 5 Assignment, statistics homework help

Unit 4 Lesson 5 Assignment

1. A company that produces white bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Construct a 99% confidence interval for the unknown mean sodium level assuming that the population standard deviation is 10 milligrams. Write a sentence explaining what this confidence interval means.

2. You work for a consumer advocate agency and want to find the mean repair cost of a washing machine. In the past, the standard deviation of the cost of repairs for washing machines has been $17.50. As part of your study, you randomly select 40 repair costs and find the mean to be $100.00. Calculate a 90% confidence interval for the population mean.

3. The actual time it takes to cook a ten pound turkey is a normally distributed. Suppose that a random sample of 19 ten pound turkeys is taken. Given that an average of 2.9 hours and a standard deviation of .24 hours was found for a sample of 19 turkeys, calculate a 90% confidence interval for the average cooking time of a ten pound turkey.

4. An engineer at a bolt factory knows that the widths of the bolts produced on a given day are normally distributed with a standard deviation of o = 0.2 mm. She chooses an SRS of 15 bolts from the day’s production and measures their widths. The measurements (in millimeters) are as follows:

9.87 9.83 9.71 10.09 10.04 9.67 9.62 9.89 9.89 9.99 10.31 10.31 10.05 10.06 9.73 9.96.

Find the 95% confidence interval for the population mean of the distribution.

5. Suppose we know that scores on a standardized reading exam are normally distributed with a standard deviation of o = 130. We choose an SRS of 300 exams and find that the sample mean of the scores is x = 509.23.

Find the 99% confidence interval for the population mean of the distribution.

6. A political organization claims that the population mean score on a standardized math exam is above 325. We know that the scores are normally distributed with a standard deviation of o = 55. Suppose we 300 students took the exam and we found that the sample mean of the scores is x = 315. Find the 95% confidence interval for the population mean of the distribution.