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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 μ.

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¯-tα2.n-1×sn<μ<x¯+tα2.n-1×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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