Question

Find the test statistic for the t test and state the
conclusion. Are low-fat diets or low-carb diets more
effective for weight loss? A sample of 78 subjects went on a
low-carbohydrate diet for six months. At the end of that time, the
sample mean weight loss was 15.0 pounds with a sample standard
deviation of 7.77 pounds. A second sample of 74 subjects went on a
low-fat diet. Their sample mean weight loss was 16.3 with a
standard deviation of 6.10. Can you conclude that the mean weight
loss differed between the two diets? Use the *α* = 0.01
level.

i). State the appropriate null and alternate hypotheses.

ii). Compute the test statistic.

iii). How many degrees of freedom are there, using the simple
method?

iv). Do you reject *H*_{0}? State a
conclusion.

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Answer #1

Low-fat or low-carb? Are low-fat diets or low-carb diets more
effective for weight loss? A sample of 77 subjects went on a
low-carbohydrate diet for six months. At the end of that time, the
sample mean weight loss was 4.7 kilograms with a sample standard
deviation of 7.16 kilograms. A second sample of 79 subjects went on
a low-fat diet. Their sample mean weight loss was 2.6 kilograms
with a standard deviation of 5.90 kilograms. Can you conclude that
the...

Are low-fat diets or low-carb diets more effective for weight
loss? A sample of 46 subjects went on a low-carbohydrate diet for
six months. At the end of that time, the sample mean weight loss
was 4.6 kilograms with a sample standard deviation of 6.28
kilograms. A second sample of 49 subjects went on a low-fat diet.
Their sample mean weight loss was 2.3 kilograms with a standard
deviation of 4.66 kilograms. Can you conclude that the mean weight
loss...

are low fat diets or low carb diets more effective for weight
loss? a sample of 70 subjects went on a low carbohydrate diet for 6
months. a the end of that time, the sample mean weight loss was
10.5 pounds with a sample standard deviation of 7.09 pounds. a
second sample of 76 subjects went on a low fat diet. their sawith a
sample mean weight loss was 18.0 with a standard deviation of 7.26.
test the claim that...

Are low-fat diets or low-carb diets more effective for weight
loss? A sample of 70 subjects went on a low-carbohydrate diet for
six months. At the end of that time, the sample mean weight loss
was 10.5 pounds with a sample standard deviation of 7.09 pounds. A
second sample of 76 subjects went on a low-fat diet. Their sample
mean weight loss was 18.0 with a standard deviation of 7.26. Can
you conclude that their was no difference in the...

According to a study published in the New England Journal of
Medicine, overweight people on low-carbohydrate and
Mediterranean diets 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 documents the weight loss (in pounds) of 30 dieters on
the low-carbohydrate and Mediterranean diets and 30 dieters on the
low-fat diet. Let Low-carb or Mediterranean and Low-fat diets
represent populations 1...

Suppose you take two random samples of dieters to show that
those on a Low-Carb Diet lose more weight than those on a Low-Fat
Diet. Use the following table to test the hypothesis H0:
µ1 ≤ µ2 versus H1: µ1
> µ2 at 0.05 level of significance (Assume that the
population variances are equal but unknown). What is the
pooled-variance?
weight loss(in pounds)
low carb diet group 1, low fat diet group 2
mean 9.70
8.30
variance 3.55
...

Suppose you take two random samples of dieters to show that
those on a Low-Carb Diet lose more weight than those on a Low-Fat
Diet. Use the following table to test the hypothesis H0:
µ1 ≤ µ2 versus H1: µ1
> µ2 at 0.10 level of significance (Assume that the
population variances are equal but unknown). Which of the following
statements is true?
weight loss(in pounds)
, low carb diet group 1 , low fat diet
group 2...

In a recent medical study, 81 subjects were placed on a low-fat
diet. After 12 months, their sample mean weight loss was 2.2
kilograms, with a sample standard deviation of 6.1 kilograms.
Construct an appropriate test to conclude if the mean weight loss
is greater than 0 at an α = 0.01 significance level.

"There is no difference in the weight between rats fed low-fiber
diets and rats fed high fiber diets," is an example of a(n):
Group of answer choices
null hypothesis
alternative hypothesis
directional hypothesis
nondirectional hypothesis
Which of the following is an example of a nondirectional
research hypothesis?
Group of answer choices
There is a positive relationship between a high-fat diet and
weight gain.
There is a negative relationship between a high-fat diet and
weight gain.
There is a relationship between...

How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I (27.6;23.1;14.7;8.9;11.9)
II (13.1;9.9;11.7;8.1;6.9;19.5)
III ( 22.4;20.2;7.4;12.9;7.7)
IV (17.6;16.8;14.4;15.7;10.7;9.4)
Shall we reject or not reject the claim that there is no
difference in population mean annual profits per employee in each
of...

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