Question

In: Statistics and Probability

Hypothesis test. Using the p-value method,conduct a formal hypothesis test of the claim that the mean...

Hypothesis test. Using the p-value method,conduct a formal hypothesis test of the claim that the mean RBG of Type 2 diabetics is 13.5 mmol/dl or higher. Use = 0.01. Include the following in your written summary of the results:

  1. Your null and alternate hypotheses in the proper format using standard notation.

  2. The type of distribution you used ( or normal).

  3. The p-value and its logical relationship to (≤ or >).

  4. Your decision regarding the null hypothesis: reject or fail to reject.

  5. A statement interpreting your decision: reject/fail to reject (or support/fail to support) the original claim that the mean RBG of Type 2 diabetics is 13.5 mmol/dl or higher.

Data

RBG  

RBG
2.124
2.582
3.301
3.627
3.758
3.954
4.477
4.542
4.542
4.542
4.673
4.804
4.804
4.804
4.869
4.869
4.869
4.869
5
5
5.065
5.131
5.131
5.327
5.392
5.392
5.458
5.458
5.588
5.654
5.719
5.719
5.719
5.784
5.784
5.85
5.85
5.85
5.98
5.98
6.046
6.111
6.111
6.111
6.242
6.242
6.307
6.373
6.373
6.438
6.503
6.503
6.634
6.699
6.765
6.765
6.83
6.895
6.895
6.895
6.895
6.961
6.961
6.961
6.961
7.222
7.222
7.288
7.288
7.288
7.288
7.353
7.549
7.549
7.549
7.549
7.68
7.68
7.68
7.745
7.81
7.81
7.81
7.876
8.072
8.072
8.137
8.137
8.203
8.268
8.268
8.268
8.333
8.333
8.333
8.399
8.399
8.464
8.464
8.464
8.464
8.464
8.464
8.464
8.529
8.595
8.595
8.595
8.66
8.725
8.791
8.922
8.922
8.922
8.922
9.052
9.052
9.248
9.248
9.248
9.379
9.379
9.379
9.444
9.444
9.51
9.575
9.641
9.641
9.641
9.706
9.771
9.837
9.837
9.837
9.902
9.967
9.967
9.967
9.967
9.967
10.229
10.229
10.229
10.294
10.294
10.294
10.359
10.425
10.425
10.425
10.882
10.882
10.882
10.948
11.013
11.013
11.013
11.013
11.078
11.144
11.144
11.34
11.405
11.471
11.471
11.471
11.601
11.601
11.601
11.797
11.863
11.928
11.928
11.928
11.993
11.993
12.059
12.059
12.059
12.19
12.19
12.19
12.255
12.451
12.451
12.516
12.516
12.582
12.647
12.712
12.712
12.778
12.843
12.843
12.974
12.974
13.105
13.105
13.105
13.17
13.17
13.235
13.301
13.301
13.301
13.366
13.366
13.431
13.497
13.627
13.758
13.758
13.758
13.758
13.758
13.824
13.824
13.889
13.954
14.02
14.02
14.02
14.02
14.085
14.085
14.085
14.216
14.281
14.281
14.281
14.281
14.281
14.346
14.346
14.477
14.477
14.542
14.673
14.673
14.804
14.935
15.196
15.261
15.392
15.392
15.523
15.85
15.85
15.85
15.98
15.98
15.98
15.98
16.111
16.111
16.111
16.111
16.307
16.307
16.503
16.569
16.569
16.634
16.895
16.895
17.092
17.092
17.222
17.418
17.484
17.484
17.81
17.81
17.81
18.007
18.072
18.268
18.464
18.464
18.464
18.464
18.464
18.529
18.725
18.725
18.922
19.052
19.183
19.314
19.444
19.641
19.641
19.641
19.902
20.098
20.229
20.229
20.229
20.229
20.556
20.817
20.948
21.144
21.405
21.405
21.732
21.928
21.928
22.059
22.059
22.059
22.386
22.843
22.974
23.235
23.562
23.627
23.693
23.889
24.15
24.15
24.216
24.346
24.477
25.196
25.98
26.176
26.176
26.242
26.438
26.569
27.026
27.484
27.614
28.595
28.595
28.856
29.837
29.902
30.033
30.229
30.817
30.948
31.209
31.536
32.059
35.065
43.954

Solutions

Expert Solution

(5) Conclusion

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the mean RBG of Type 2 diabetics is 13.5 mmol/dl or higher, at the 0.01 significance level.

orchestra answered 2 years ago
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