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1. The table below gives the 20 values from the Class Survey:What Was Your High School G.P.A. taken in my afternoon classearlier this semester. At the time, we considered this data to be asample, but for the purposes of this assignment, assume this datarepresents a population.

1.9

2.4

2.5

2.8

2.8

2.9

2.9

3.0

3.0

3.0

3.1

3.2

3.2

3.2

3.4

3.6

3.7

3.8

4.0

4.0

1. Use 1-Var Stats to calculate the mean, , and standarddeviation, , of this population (round to two decimals). (2pts)

2. Now, use the MATH – RANDINT function on your graphingcalculator to choose an SRS of 8 values from this population(assign #s to all the data values, then choose 8 random integersfrom 1 – 28) and list them here. (3 pts)

3. Use 1-Var Stats to calculate the sample mean of the sampleyou chose in #2 (round to two decimals). (2 pts)

(continued on the back)

4. What is the critical value that should be used to constructa confidence interval with a confidence level of 90%. (3 pts)

5. Calculate the margin of error for constructing a 90%confidence interval estimate for the population mean (round to twodecimals). (4 pts)

6. Calculate the upper and lower bounds for your confidenceinterval estimate. (4 pts)

7. Does your confidence interval contain the value of thepopulation mean from #1?

​(It’s ok if it doesn’t; there should be a 10% chance that itwill not.) (2 pts)