Step 4: Make a Conclusion About the null hypothesis. Since the p-value= 0.81030859860666 2 0.1897 xa, we do not reject Part 4 of 4 the null hypothesis. We cannot conclude that the medication results in lower variance in a diabetic's blood sugar levels.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
ath
ess
Most Watched Ani...
A pharmaceutical company claims their new diabetes medication results in less variance in a
patient's glucose level than if the patient were on no medication at all. An endocrinologist wishes to
test this claim. She divides participants randomly into two groups. Group A consists of 20 diabetics
who received the medication; group B consists of 26 diabetics who received a placebo. After two
weeks, the blood sugar level of each patient in each group was measured with the following results
(in mg/dL):
Group A:
77.8, 229.4, 199.9, 110.1, 180.2, 116.1, 139.7, 171.1, 37.4, 158.1, 88.4, 195.5, 246.1, 142.4, 178.1,
105.5, 179.6, 146.1, 78.8, 123.7
Group B:
124.5, 130.1, 136, 162.8, 113.4, 72.8, 142.6, 50.3, 179.8, 197, 230, 194.3, 171, 109.3, 114.4, 107.5,
114.7, 195.3, 127.7, 126.4, 85.6, 166.7, 182.3, 113.5, 216.7, 162.8
Ho:
Perform a hypothesis test using a 6% level of significance to test the pharmaceutical company's
claim.
Step 1: State the null and alternative hypotheses.
H₂:
EV 1
Watch Invincible S...
V 1
(So we will be performing a left-tailed
We will use a(n) F
dfA= 19
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
test statistics.
p-value = 0.8103
Step 3: Find the p-value of the test statistic.
P(FSV 1.45070
Chinese bureaucrats
ot western elements
cal skill while retaining
✓and denominator degrees of freedom dƒB = 25
✓✓distribution with numerator degrees of freedom
A = 145.2
✓✓test.)
SA 53.84
✓
Pokemon Jigglypu...
s²
F = =145070
83
=0.8103
Step 4: Make a Conclusion About the null hypothesis.
Since the p-value = 0.810308598606662 0.1897
IB = 143.365
SB 44.7005
Y
xa, we do not reject
Y
Part 3 of 4
Part 4 of 4
✓✓the null hypothesis.
We cannot conclude that the medication results in lower variance in a diabetic's blood sugar levels.
OWe conclude that the medication results in lower variance in a diabetic's blood sugar levels.
tokyo L
Transcribed Image Text:ath ess Most Watched Ani... A pharmaceutical company claims their new diabetes medication results in less variance in a patient's glucose level than if the patient were on no medication at all. An endocrinologist wishes to test this claim. She divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 26 diabetics who received a placebo. After two weeks, the blood sugar level of each patient in each group was measured with the following results (in mg/dL): Group A: 77.8, 229.4, 199.9, 110.1, 180.2, 116.1, 139.7, 171.1, 37.4, 158.1, 88.4, 195.5, 246.1, 142.4, 178.1, 105.5, 179.6, 146.1, 78.8, 123.7 Group B: 124.5, 130.1, 136, 162.8, 113.4, 72.8, 142.6, 50.3, 179.8, 197, 230, 194.3, 171, 109.3, 114.4, 107.5, 114.7, 195.3, 127.7, 126.4, 85.6, 166.7, 182.3, 113.5, 216.7, 162.8 Ho: Perform a hypothesis test using a 6% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative hypotheses. H₂: EV 1 Watch Invincible S... V 1 (So we will be performing a left-tailed We will use a(n) F dfA= 19 Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. p-value = 0.8103 Step 3: Find the p-value of the test statistic. P(FSV 1.45070 Chinese bureaucrats ot western elements cal skill while retaining ✓and denominator degrees of freedom dƒB = 25 ✓✓distribution with numerator degrees of freedom A = 145.2 ✓✓test.) SA 53.84 ✓ Pokemon Jigglypu... s² F = =145070 83 =0.8103 Step 4: Make a Conclusion About the null hypothesis. Since the p-value = 0.810308598606662 0.1897 IB = 143.365 SB 44.7005 Y xa, we do not reject Y Part 3 of 4 Part 4 of 4 ✓✓the null hypothesis. We cannot conclude that the medication results in lower variance in a diabetic's blood sugar levels. OWe conclude that the medication results in lower variance in a diabetic's blood sugar levels. tokyo L
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