The following data set represents the average number of minutes played for a ran

ID: 3204125 • Letter: T

Question

The following data set represents the average number of minutes played for a random sample of professional players.

35.9 33.8 34.7 31.5 33.2 29.1 30.7 31.2 36.1 34.9

Construct a 90% confidence interval for the population mean and interpret the results. Assume the population of the data set is normally distributed.

1.Identify key features.

2.What type of CI is this? Can you use this procedure to find the confidence interval?

3.Find the critical value(s).

4.Calculate the margin of error.

5.Find the upper and lower bounds of your confidence interval.

6.Interpret your answer in a complete sentence in the context of the situation.

1. Using online calculator we find mean=33.11 and sd=2.38

2. This is 90% confidence interval for population mean.

3. As it is given its normal distribution we will use z table value which is 1.645 for 90% CI

4. Margin of error=z*sd/sqrt(n)=0.75

5. So CI =mean+/-E=(33.11+/-0.75)=(32.36,33.86)

6. Population mean will fall between 32.36 to 33.86

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