Question

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 differs between the two diets? Let μ1denote the mean weight lost on the low-carb diet and μ2 denote the mean weight lost on the low-fat diet. Use the =α0.1 level and the TI-84 Plus calculator.

1. state the appropriate null and alternate hypotheses.

Ho:?

H_{1:} ?

is the hypothesis test a two-tailed, right-tailed or left-tailed?

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 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...

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...

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...

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.

Determine the test used for the following problem: Does the
standard deviation in the weight loss of dieters who follow the
low-carb diet differ from the standard deviation of the dieters who
follow the low-fat diet?

A researcher studied how two diets compare in terms of weight
loss after 6 months.
40 people used the first diet.
Their sample mean was 44, and their sample standard deviation was
10.
60 people used the first
diet. Their sample mean was 37, and their sample standard deviation
was 15.
Give the 92% confidence interval
for the true difference between the mean weight losses.
Can we conclude that the two diets really differ in terms of...

Problem 9. A researcher studied how two diets compare in terms
of weight loss after 6 months. 40 people used the first diet. Their
sample mean was 44, and their sample standard deviation was 10. 60
people used the first diet. Their sample mean was 37, and their
sample standard deviation was 15. Give the 92% confidence interval
for the true difference between the mean weight losses.
Problem 10. Refer to the information in Problem 9. Can we
conclude that...

6) A researcher studied how two diets compare in terms of weight
loss after 6 months. 40 people used the first diet. Their sample
mean was 44, and their sample standard deviation was 10. 60 people
used the first diet. Their sample mean was 37, and their sample
standard deviation was 15. Give the 92% confidence interval for the
true difference between the mean weight losses.
7)
Refer to the information in the previous
question.
Can we conclude
that...

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