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

5370 4890 5100 4500 5260 5150 4900 4760 4700 4870

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

Short Answer

Expert verified

The confidence interval for the population meanμis(4794.4,5105.6)

Step by step solution

01

introduction

A milk processor monitors the number of bacteria per millilitre in raw milk received at the factory.

Given data -

5370489051004500526051504900476047004870

02

explanation

Calculating the confidence interval CI,

n = 10

x-=4950and s =268.45

role="math" localid="1651643707213" x¯±zsn=4950±2.021268.4510=(4794.4,5105.6)

the confidence interval is(4794.4,5105.6)

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