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Statistics Homework

Name:

Attached to this assignment are four data sets. The data sets are Simple Random Samples taken from

four DIFFERENT populations. Use these data sets to answer the following questions.

1. Assuming that the population standard deviation is 3, create a confidence interval for thepopulation mean of data set 1 at a confidence level of 95%.

2. Assuming that the population standard deviation is 4, create a confidence interval for thepopulation mean of data set 2 at a confidence level of 95%.

3. Assuming that the population standard deviation is 5, create a confidence interval for thepopulation mean of data set 3 at a confidence level of 95%.

4. Assuming that the population standard deviation is 6, create a confidence interval for thepopulation mean of data set 4 at a confidence level of 95%.

5. Assuming that the population standard deviation is unknown, create a confidence interval forthe population mean of data set 1 at a confidence level of 95%.

6. Assuming that the population standard deviation is unknown, create a confidence interval forthe population mean of data set 2 at a confidence level of 95%.

7. Assuming that the population standard deviation is unknown, create a confidence interval forthe population mean of data set 3 at a confidence level of 95%.

8. Assuming that the population standard deviation is unknown, create a confidence interval forthe population mean of data set 4 at a confidence level of 95%.

9. For data set 1: Assuming that the population standard deviation is 4, perform a significance testat a 5% significance level with the following hypotheses,

Ho: mean = 10 Ha: mean not equal to 10

10.For data set 2: Assuming that the population standard deviation is 6, perform a significance testat a 5% significance level with the following hypotheses,

Ho: mean = 25 Ha: mean not equal to 25

11.For data set 3: Assuming that the population standard deviation is 3, perform a significance testat a 5% significance level with the following hypotheses,

Ho: mean = 35 Ha: mean not equal to 35

12.For data set 4: Assuming that the population standard deviation is 10, perform a significancetest at a 5% significance level with the following hypotheses,

Ho: mean = 45 Ha: mean not equal to 45

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13.For data set 1: Assuming that the population standard deviation is unknown, perform asignificance test at a 5% significance level with the following hypotheses,

Ho: mean = 10 Ha: mean not equal to 10

14.For data set 2: Assuming that the population standard deviation is unknown, perform asignificance test at a 5% significance level with the following hypotheses,

Ho: mean = 25 Ha: mean not equal to 25

15.For data set 3: Assuming that the population standard deviation is unknown, perform asignificance test at a 5% significance level with the following hypotheses,

Ho: mean = 35 Ha: mean not equal to 35

16.For data set 4: Assuming that the population standard deviation is 1 unknown, perform asignificance test at a 5% significance level with the following hypotheses,

Ho: mean = 45 Ha: mean not equal to 45

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Data Sets

Data Set 1 Data Set 2 Data Set 3 Data Set 4

0 20 6.2 -4.3

11.3 46.7 23.8 41.83.9 42.2 25.4 54.2

16.2 36.3 25.3 6

11.7 47 23.7 41.1

9.6 38 34.7 54.9

7 33.4 30.8 45.2

17.9 44.2 34.6 44.9

16.5 29.8 37.7 33.6

14.9 36.8 27.4 26.5

3.5 25.1 22.2 25.1

17.2 45.8 38.7 56.414.2 31.6 17.7 49.5

10.3 20.6 30.5 11.4

6.1 49.4 33.3 33.6

0.3 36.3 18.4 43.9

1.8 47.3 34.9 41.8

7.3 47.8 29.8 15.5

2.9 26.1 24.8 32.8

3.3 46.5 32.1 33

19.8 30.1 33.9 12.6

8.9 47.5 27.8 56.42.4 37.3 15.6 39.8

0.1 26.6 28.6 45.7

0.2 33.6 40.3 34.1

7.6 41.5 17.1 35.8

10.6 25.5 37.7 39.3

11.4 22.2 31.5 18.9

12 47.2 23.6 40.6

12.1 26.9 38.3 39

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