Question

•  Complete a hypothesis test involving your independent variable. Test the claim

  that the mean of your independent variable is different then you guess (seethe “Set-Up” section of your project for your guess), using  = 0.05.
  Note: Because Minitab is using the same screen to perform both C.I. and H.T., Minitab is asking you to set (1-), the level of confidence and not  the level of significance of the test. If you want to perform a test at the 0.05 level, you will need to enter 0.95 in Minitab.

•  State your decision and conclusion using a full sentence and the right units.

•  Complete a hypothesis test involving your dependent variable. Test the claim that the mean of your dependent variable is smaller than your guess (see the

  “Set-Up” section of your project for your guess), using  = 0.01.
  Note: Because Minitab is using the same screen to perform both C.I. and H.T., Minitab is asking you to set (1-), the level of confidence and not  the level of significance of the test. If you want to perform a test at the 0.01 level, you will need to enter 0.99 in Minitab.

•  State your decision and conclusion using a full sentence and the right units.

data is as follows:

independent is time, temp is dependent

time temp

1 39

2 53

3 48

4 43

5 45

6 60

7 66

8 66

9 63

10 45

11 42

12 73

13 65

14 45

15 45

16 53

17 61

18 75

19 66

20 46

21 56

22 61

23 75

24 55

25 63

26 68

27 46

28 50

29 50

30 53

Answer 1

Two-Sample T-Test and CI: independent, dependent

Method

μ₁: mean of independent

µ₂: mean of dependent

Difference: μ₁ - µ₂

Equal variances are not assumed for this analysis.

Descriptive Statistics

Sample	N	Mean	StDev	SE Mean
independent	30	15.50	8.80	1.6
dependent	30	55.9	10.5	1.9

Estimation for Difference

Difference	95% CI for Difference
-40.37	(-45.38, -35.35)

Test

Null hypothesis	H₀: μ₁ - µ₂ = 0
Alternative hypothesis	H₁: μ₁ - µ₂ ≠ 0

T-Value	DF	P-Value
-16.13	56	0.000

---------------------------------------------------------------------------------------------------------

Two-Sample T-Test and CI: independent, dependent

Method

μ₁: mean of independent

µ₂: mean of dependent

Difference: μ₁ - µ₂

Equal variances are not assumed for this analysis.

Descriptive Statistics

Sample	N	Mean	StDev	SE Mean
independent	30	15.50	8.80	1.6
dependent	30	55.9	10.5	1.9

Estimation for Difference

Difference	99% Lower Bound for Difference
-40.37	-46.36

Test

Null hypothesis	H₀: μ₁ - µ₂ = 0
Alternative hypothesis	H₁: μ₁ - µ₂ > 0

T-Value	DF	P-Value
-16.13	56	1.000