In a random sample of 10 adults each of them ate 100 g of dark chocolate and in another random sample of 15 adults each of them ate 100 g of milk chocolate. After one hour their blood plasma antioxidant capacity was measured and the summary statistics are given below. Sample standard deviation Sample mean Wwww Dark chocolate (DC) Milk chocolate (MC) 171.5 160.0 6.2 7.2 wwww At 5% significance level do the data provide sufficient evidence that dark chocolate produces a higher mean level of total blood plasma antioxidant capacity than milk chocolate? Assume that the population distributions are normal with equal variance. a. The altenative hypothesis is H1:HDarkc (</> *) PMIKC b. The test statistic t = (round at two decimal places) c. The degrees of freedom (d.f.) = d. The critical value of the test = (do not round up). e. As the absolute value of the test statistic is (less/greater) than the critical value, we (accept/reject) the null hypothesis and conclude that dark chocolate (does/does not) louel st produce a higher mean

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
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QUESTION 12
In a random sample of 10 adults each of them ate 100 g of dark chocolate and in another random sample of 15 adults each of
them a
chocolate. After one hour their blood plasma antioxidant capacity was measured and the summary statistics are given below.
ate
100 g of milk
Sample standard
deviation
6.2
7.2
Sample mean
Dark chocolate (DC)
Milk chocolate (MC)
171.5
160.0
At 5% significance level do the data provide sufficient evidence that dark chocolate produces a higher mean level of total blood plasma
capacity than milk chocolate? Assume that the population distributions are normal with equal variance.
antioxidant
a. The altemative hypothesis is H1: PDarkc (</)
PMIKC
b. The test statistic t =
(round at two decimal places)
c. The degrees of freedom (d.f.) =
d. The critical value of the test =
(do not round up).
e. As the absolute value of the test statistic is (less/greater)
than the critical value, we (accept/reject)
the null hypothesis and conclude that dark chocolate (does/does not)
produce a higher mean
level of total blood plasma antioxidant capacity than milk chocolate.
1. The above test is a (one/two)
-tailed test.
QUESTION 13
Transcribed Image Text:* Question Completion Status: QUESTION 12 In a random sample of 10 adults each of them ate 100 g of dark chocolate and in another random sample of 15 adults each of them a chocolate. After one hour their blood plasma antioxidant capacity was measured and the summary statistics are given below. ate 100 g of milk Sample standard deviation 6.2 7.2 Sample mean Dark chocolate (DC) Milk chocolate (MC) 171.5 160.0 At 5% significance level do the data provide sufficient evidence that dark chocolate produces a higher mean level of total blood plasma capacity than milk chocolate? Assume that the population distributions are normal with equal variance. antioxidant a. The altemative hypothesis is H1: PDarkc (</) PMIKC b. The test statistic t = (round at two decimal places) c. The degrees of freedom (d.f.) = d. The critical value of the test = (do not round up). e. As the absolute value of the test statistic is (less/greater) than the critical value, we (accept/reject) the null hypothesis and conclude that dark chocolate (does/does not) produce a higher mean level of total blood plasma antioxidant capacity than milk chocolate. 1. The above test is a (one/two) -tailed test. QUESTION 13
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