Answered: The table below shows the blood glucose…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

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Use the data and table below to test the indicated claim about the means of two paired populations (matched pairs). Assume that the two samples are each simple random samples selected from normally distributed populations. Make sure you identify all values.

The table below shows the blood glucose of 20 students before breakfast and two hours after breakfast, using a specific insulin dosing formula to cover carbohydrates. Is there compelling statistical evidence that the specific insulin dosing formula is effective in reducing blood glucose levels? Use a significance level of 0.05. We have the differences (gain or loss), but we still need to compute the mean, standard deviation, and know the sample size for the differences (use Excel or Sheets for this computation). Once those are found, we can apply methods that are used for a 1 sample t-test.

Student	Before Meal	After Meal	Difference
1	161	114	-47
2	196	88	-108
3	132	80	-52
4	175	96	-79
5	169	112	-57
6	138	137	-1
7	197	89	-108
8	184	125	-59
9	152	98	-54
10	131	86	-45
11	188	99	-89
12	135	93	-42
13	177	114	-63
14	165	86	-79
15	143	116	-27
16	162	82	-80
17	166	125	-41
18	175	117	-58
19	191	106	-85
20	180	121	-59

Null Hypothesis, H0

Alternative Hypothesis, H1

Test Statistic, t

P-value

Significance level

Conclusion

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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