Hi I would like to check the answers and formulas for the following. I need help with 4 calculation formula to check steps

3.You decide to further your research project by hypothesizing that thetrue average core body temperatureamidst higher ambient temperature and humidity levels for thepopulation who do not use electric fans isdifferent thanthose who do use electric fans, setting thelevel of significance at 10%for the formal hypothesis test. In other words, you extend your sampling to two samples instead of just one. You randomly sample 30 and 33 participants

Table 1. No Fans

Subject Core Body

Temperature (F)

1 108.3

2 107.8

3 110.3

4 107.3

5 108.7

6 107.2

7 107.9

8 108.8

9 108.3

10 108.2

11 109.0

12 108.3

13 108.7

14 109.6

15 106.1

16 107.7

17 109.0

18 109.0

19 107.5

20 108.4

21 106.0

22 107.1

23 106.7

24 108.0

25 108.7

26 109.1

27 108.5

28 106.7

29 109.4

30 108.9

Table 2. Fans

Subject Core Body

Temperature (F)

1 105.0

2 107.0

3 106.7

4 105.6

5 107.2

6 106.9

7 105.2

8 106.3

9 105.9

10 106.5

11 107.8

12 106.2

13 107.7

14 106.7

15 106.1

16 106.4

17 106.0

18 107.3

19 107.3

20 106.0

21 107.4

22 105.3

23 107.1

24 107.1

25 107.0

26 106.8

27 105.6

28 107.3

29 106.1

30 105.5

31 106.0

32 106.5

33 107.0

Per Step 3 of the 5-Steps to Hypothesis Testing, choose the appropriate decision rule.

Select one:

a. Accept H0 if z > +2.576 and z > -2.241

b. Accept H0 if t -2.241 and z > +2.576

c. Accept H1 if z +2.576 and t = +1.960

d. Reject H0 if z -1.645 or z +1.645

4.You decide to further your research project by hypothesizing that thetrue average core body temperatureamidst higher ambient temperature and humidity levels for thepopulation who do not use electric fans isdifferent thanthose who do use electric fans, setting thelevel of significance at 2.5%for the formal hypothesis test. In other words, you extend your sampling to two samples instead of just one. You randomly sample 39 and 47 participants

Table 1. No Fans

Subject Core Body

Temperature (F)

1 107.7

2 108.2

3 107.2

4 108.2

5 107.7

6 107.3

7 107.3

8 107.1

9 109.4

10 109.0

11 107.4

12 108.2

13 107.3

14 106.9

15 108.5

16 108.4

17 109.2

18 108.6

19 106.6

20 108.2

21 107.4

22 107.0

23 108.0

24 107.2

25 107.4

26 108.1

27 107.3

28 107.7

29 108.4

30 109.2

31 107.4

32 108.0

33 107.8

34 109.1

35 108.4

36 108.5

37 107.3

38 107.8

39 107.5

Table 2. Fans

Subject Core Body

Temperature (F)

1 110.7

2 110.3

3 110.5

4 109.5

5 110.8

6 110.0

7 110.2

8 111.8

9 109.3

10 111.4

11 108.9

12 110.3

13 110.1

14 109.0

15 109.7

16 109.7

17 110.7

18 110.8

19 109.7

20 111.1

21 111.0

22 110.0

23 110.6

24 110.2

25 111.3

26 110.3

27 110.3

28 111.1

29 110.5

30 109.7

31 110.1

32 110.2

33 110.6

34 109.2

35 110.2

36 109.9

37 110.4

38 109.9

39 110.7

40 110.6

41 110.2

42 110.6

43 108.9

44 109.8

45 110.5

46 111.3

47 109.7

Per Step 4 of the 5-Steps to Hypothesis Testing, compute the test statistic using the appropriate test statistic formula. Assign groups 1 and 2 to be no fans and fans, respectively.

rounding is preferable when formally reporting your statistical results to colleagues.

Answer: