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geniusboy [140]
2 years ago
8

According to a study published in the New England Journal of Medicine, overweight people on low-carbohydrate and Mediterranean d

iets lost more weight and got greater cardiovascular benefits than people on a conventional low-fat diet (The Boston Globe, July 17, 2008). A nutritionist wishes to verify these results and follows 30 dieters on the low-carbohydrate and Mediterranean diets and 30 dieters on the low-fat diet. These data (measured in pounds) can be found on the text website, labeled Different Diets. Let Low-carb or Mediterranean and Low-fat diets represent populations 1 and 2, respectively. Use Table 2.
Low-carb Low-carb/
Mediterrean Diets Low- Fat diet Mediterreand diet Low-fat Diet
9.5 6.5 6.8 5.9
8.1 5.8 9.1 6.9
10.4 9.9 9.4 9.1
11.9 5.1 10.2 8.0
11.8 8.0 9.5 8.9
12.6 6.3 9.5 3.4
6.7 6.3 9.4 4.6
9.6 4.4 12.0 6.2
11.6 5.7 9.9 4.6
8.4 5.9 9.7 6.7
9.0 6.8 9.2 4.6
7.5 5.1 13.0 7.1
7.2 6.3 11.3 11.0
8.5 5.5 13.6 4.5
8.8 5.5 9.0 3.9
a.Set up the hypotheses to test the claim that the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 > 0
H0: ?1 ? ?2 = 0; HA: ?1 ? ?2 ? 0
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0
b-1.Using the appropriate commands in Excel, find the value of the test statistic. Assume that the population variances are equal and that the test is conducted at the 5% significance level. (Round your answer to 2 decimal places.)
Test statistic
b-2. What is the critical value and the rejection rule?
Reject H0 if tdf < -1.672.
Reject H0 if tdf < -2.002.
Reject H0 if tdf > 2.002.
Reject H0 if tdf > 1.672.
c. At the 5% significance level, can the nutritionist conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet?
No
Yes
Low-carb/Mediterrean Diets Low-fat Diet
9.5 6.5
8.1 5.8
10.4 9.9
11.9 5.1
11.8 8
12.6 6.3
6.7 6.3
9.6 4.4
11.6 5.7
8.4 5.9
9 6.8
7.5 5.1
7.2 6.3
8.5 5.5
8.8 5.5
6.8 5.9
9.1 6.9
9.4 9.1
10. 2 8
9.5 8.9
9.5 3.4
9.4 4.6
12 6.2
9.9 4.6
9.7 6.7
9.2 4.6
13 7.1
11.3 11
13.6 4.5
9 3.9

Mathematics
1 answer:
LenaWriter [7]2 years ago
7 0

Answer:

Explained below.

Step-by-step explanation:

A two-sample test is to be performed to determine whether the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.

(a)

The hypothesis can be defined as follows:

<em>H</em>₀: <em>μ</em>₁ - <em>μ</em>₂ ≤ 0 vs. <em>Hₐ</em>: <em>μ</em>₁ - <em>μ</em>₂ > 0

(b-1)

Use Excel to perform the t test for independent samples.

The output is attached below.

The test statistic value is, <em>t</em> = 7.58.

(b-2)

The degrees of freedom is, df = 58.

The critical value is, <em>t</em>₅₈ = 1.672.

The rejection region is:

Rejected <em>H</em>₀ if <em>t > t</em>₅₈ = 1.672.

(c)

Decision:

<em>t </em> = 7.58 <em>> t</em>₅₈ = 1.672

The null hypothesis will be rejected at 5% level of significance.

Thus, the nutritionist can conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet.

The correct option is Yes.

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42=-7(z-3) what does a equals?​
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Remove unnecessary parentheses

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ou need 1 1/4 cups of sugar to make 20 cookies. How many cups of sugar will you need to make 16 cookies? cups of sugar
frutty [35]

Answer:

To make 16 cookies you will need 1 cup of sugar.

Step-by-step explanation:

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Sugar needed to make 20 cookies =  1 1/4 cups

To Find:

Sugar needed to make 16 cookies = ?

Solution:

For making 20 cookies 1 1/4 cups of sugar is used

So to make 1 cookie  we need

=>\frac{1\frac{1}{4}}{20}

=>\frac{\frac{5}{4}}{20}

=>\frac{5}{4} \times \frac{1}{20}

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=>\frac{1}{16} cups of sugar

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=>16 \times \text{sugar needed to make one cookie}

=>16 \times\frac{1}{16}

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Answer:

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Thus, The answer is <u>+</u>3

<u>-TheUnknown</u><u>S</u><u>cientist</u>

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Read 2 more answers
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