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Chapter 8: Q. T8.13 (page 549)

A milk processor monitors the number of bacteria per milliliter in raw milk received at the factory. A random sample of 10one-milliliter specimens of milk supplied by one producer gives the following data:

Construct and interpret a 90% confidence interval for the population mean 渭.

Short Answer

Expert verified

The confidence interval is(4794.4,5105.6).

Step by step solution

01

Step 1. Given information

The data set is:

02

Step 2. Formula Used

The formula to compute the confidence interval is:

x炉-t伪2.n-1脳sn<渭<x炉+t伪2.n-1脳sn

03

Step 3. Calculation

Follow the provided steps of Minitab to compute the required confidence interval:

  1. Enter the data set in Minitab sheet.
  2. Click on Stat > Basic Statistics > 1-Sample t
  3. Select Sample in column.
  4. Click on options and enter 90%in confidence level.
  5. Click OK.

The obtained output is:

Hence, the required confidence interval is (4794.4,5105.6)

The obtained confidence interval shows that there is 90%probability that the mean number of bacteria per millimeter in raw milk lies between47.94.4 and5105.6.

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Most popular questions from this chapter

Age and September 11 Refer to Exercise 42. The study also reported that 86% of

millennials included 9/11 in their top-10 list and 70% of baby boomers included 9/11.

a. Explain why you do not have enough information to give confidence intervals for

millennials and baby boomers separately.

b. Do you think a 95%confidence interval for baby boomers would have a larger or smaller margin of error than the estimate from Exercise 42? Explain your answer.

A 90%confidence interval for the mean 渭 of a population is computed from a random sample and is found to be90卤30. Which of the following could be the 95%confidence interval based on the same data?

a. 90卤21

b. 90卤30

c. 90卤39

d. 90卤70

e. Without knowing the sample size, any of the above answers could be the 95%confidence interval.

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a. Construct and interpret a 99%confidence interval to estimate the mean percent change in BMC in the population of breast-feeding mothers.

b. Based on your interval from part (a), do these data give convincing evidence that

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