An industrial designer wants to determine the average amount of time it takes an adult to assemble an “easy to assemble” toy. A sample of 16 times yielded an average time of 19.9 minutes, with a sample standard deviation of 4.4 minutes. Give the following information for a 95% confidence interval. Standard errormargin of error

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Asked Oct 9, 2019
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An industrial designer wants to determine the average amount of time it takes an adult to assemble an “easy to assemble” toy. A sample of 16 times yielded an average time of 19.9 minutes, with a sample standard deviation of 4.4 minutes. Give the following information for a 95% confidence interval.

 

Standard error

margin of error

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Expert Answer

Step 1

The standard error of the distribution of sample means is obtained as follows:

SE =
4.4
V16
4.4
4
=1.1
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SE = 4.4 V16 4.4 4 =1.1

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Step 2

Thus, the standard error of the distribution of sample means is 1.1.

The degrees of freedom is obtained as follows:

df n-1
=16-1
=15
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df n-1 =16-1 =15

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Step 3

From the t table, the critical value for 15 degrees of freedom with 95% con...

ME =t*
2.131x1.1
- 2.344
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ME =t* 2.131x1.1 - 2.344

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