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Chapter 9: Q T8.13 (page 550)

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 is

02

Step 2:Calculation

The formula to compute the confidence interval is:

x炉-ta2,n-1脳sn<渭<x炉+ta2,n-1脳sn

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

1. Enterthe data set in Minitab sheet.

2. Click on Stat > Basic Statistics > 1-Samplet

3. Select Samplein 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)

Therefore,

The obtained confidence interval shows that there is90% probability that the mean number of bacteria per millimeter in raw milk lies between 4794.4 and 5105.6.

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