Question
Asked Nov 16, 2019
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Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of six months with a sample standard deviation of three months. Assume that the underlying population distribution is normal.

Construct a 99% confidence interval for the population mean length of time using training wheels.

What is the error bound? (Round to 3 decimal places)

 

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Expert Answer

Step 1

The provided information are:

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Sample mean (x)=6 Sample size (n)-14 Sample standard deviation (s) =3

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Step 2

The formula to calculate the confidence interval for population mean is:

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Vn

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Step 3

Here, the population standard deviation is unknown. So, the t-critical value is used.

The degrees of freedom is: df = n - 1 = 14 - 1 = 13

The criti...

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0.01 = 3.012

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