Part 1 of 4 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. He divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 25 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: 149.5, 178.9, 145.8, 195.4, 97.4, 123.4, 128.8, 121.1, 189.7, 134, 125, 93.7, 222.9, 115.5, 188.9, 87.6, 132.6, 109, 201.3, 93.1 Group B: 152.5, 138.5, 188, 52.9, 186.6, 154.3, 193, 150.1, 187.1, 122.1, 167.1, 112.2, 197.5, 131.8, 115.6, 166.2, 108, 141.3, 110.2, 164.5, 189.4, 142.2, 174, 190, 171.3 Perform a hypothesis test using a 5% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative hypotheses. Ho: Ha: 1 (So we will be performing a left-tailed v test.) Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. We will use a(n) F vv distribution with numerator degrees of freedom dfA and denominator degrees of freedom dfp = Ouertion Holpi O Dort to forum

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Part 1 of 4
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. He divides participants randomly into two groups. Group A consists of 20 diabetics
who received the medication; group B consists of 25 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:
149.5, 178.9, 145.8, 195.4, 97.4, 123.4, 128.8, 121.1, 189.7, 134, 125, 93.7, 222.9, 115.5, 188.9, 87.6,
132.6, 109, 201.3, 93.1
Group B:
152.5, 138.5, 188, 52.9, 186.6, 154.3, 193, 150.1, 187.1, 122.1, 167.1, 112.2, 197.5, 131.8, 115.6, 166.2,
108, 141.3, 110.2, 164.5, 189.4, 142.2, 174, 190, 171.3
Perform a hypothesis test using a 5% level of significance to test the pharmaceutical company's
claim.
Step 1: State the null and alternative hypotheses.
Но:
1
H.:
<v 1
(So we will be performing a left-tailed
v test.)
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
test statistics.
We will use a(n) F
vv distribution with numerator degrees of freedom
dfa =
and denominator degrees of freedom d få =
Question Holn: O Rost to forum
Transcribed Image Text:Part 1 of 4 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. He divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 25 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: 149.5, 178.9, 145.8, 195.4, 97.4, 123.4, 128.8, 121.1, 189.7, 134, 125, 93.7, 222.9, 115.5, 188.9, 87.6, 132.6, 109, 201.3, 93.1 Group B: 152.5, 138.5, 188, 52.9, 186.6, 154.3, 193, 150.1, 187.1, 122.1, 167.1, 112.2, 197.5, 131.8, 115.6, 166.2, 108, 141.3, 110.2, 164.5, 189.4, 142.2, 174, 190, 171.3 Perform a hypothesis test using a 5% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative hypotheses. Но: 1 H.: <v 1 (So we will be performing a left-tailed v test.) Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. We will use a(n) F vv distribution with numerator degrees of freedom dfa = and denominator degrees of freedom d få = Question Holn: O Rost to forum
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