Question

In a test of the effectiveness of garlic for lowering cholesterol, 42 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before−after) in their levels of LDL cholesterol (in mg/dL) have a mean of 4.9 and a standard deviation of 16.9. Construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol?Click here to view a t distribution table.

Click here to view page 1 of the standard normal distribution table.

Click here to view page 2 of the standard normal distribution table.

What is the confidence interval estimate of the population mean μ?

?? mg/dL < μ < ?? mg/dL

(Round to two decimal places as needed.)

Answer #1

Solution :

Given that,

= 4.9

= 16.9

n = 42

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z_{/2}
= Z_{0.025} = 1.96

Margin of error = E = Z_{/2}* ( /n)

=1.96 * ( 16.9/ 42)

= 5.11

At 99% confidence interval estimate of the population mean is,

- E < < + E

4.9 - 5.11 < < 4.9 + 5.11

< <

(, )

In a test of the effectiveness of garlic for lowering
cholesterol, 42 subjects were treated with garlic in a processed
tablet form. Cholesterol levels were measured before and after the
treatment. The changes (before−after) in their levels of LDL
cholesterol (in mg/dL) have a mean of 4.9 and a standard deviation
of 15.4. Construct a 99% confidence interval estimate of the mean
net change in LDL cholesterol after the garlic treatment. What does
the confidence interval suggest about the effectiveness...

In a test of the effectiveness of garlic for lowering
cholesterol,
4848
subjects were treated with garlic in a processed tablet form.
Cholesterol levels were measured before and after the treatment.
The changes
(beforeminus−after)
in their levels of LDL cholesterol (in mg/dL) have a mean
of
4.14.1
and a standard deviation of
17.817.8.
Construct a
9595%
confidence interval estimate of the mean net change in LDL
cholesterol after the garlic treatment. What does the confidence
interval suggest about the effectiveness...

In a test of the effectiveness of garlic for lowering
cholesterol, 49 subjects were treated with garlic in a processed
tablet form. Cholesterol levels were measured before and after the
treatment. The changes (before minus after) in their levels of
LDL cholesterol (in mg/dL) have a mean of 3.9 and a standard
deviation of 19.1. Construct a 99% confidence interval estimate of
the mean net change in LDL cholesterol after the garlic treatment.
What does the confidence interval suggest about...

In a test of the effectiveness of garlic for lowering
cholesterol, 50 subjects were treated with garlic in a processed
tablet form. Cholesterol levels were measured before and after the
treatment. The changes (beforeminusafter) in their levels of LDL
cholesterol (in mg/dL) have a mean of 3.2 and a standard deviation
of 18.5. Construct a 95% confidence interval estimate of the mean
net change in LDL cholesterol after the garlic treatment. What does
the confidence interval suggest about the effectiveness...

In a test of the effectiveness of garlic for lowering
cholesterol, 44 subjects were treated with garlic in a processed
tablet form. Cholesterol levels were measured before and after the
treatment. The changes (beforeminusafter) in their levels of LDL
cholesterol (in mg/dL) have a mean of 4.3 and a standard deviation
of 15.8. Construct a 90% confidence interval estimate of the mean
net change in LDL cholesterol after the garlic treatment. What does
the confidence interval suggest about the effectiveness...

In a test of the effectiveness of garlic for lowering
cholesterol, 50 subjects were treated with garlic in a processed
tablet form. Cholesterol levels were measured before and after the
treatment. The changes (beforeminusafter) in their levels of LDL
cholesterol (in mg/dL) have a mean of 4.2 and a standard deviation
of 15.5. Construct a 90% confidence interval estimate of the mean
net change in LDL cholesterol after the garlic treatment. What does
the confidence interval suggest about the effectiveness...

In a test of the effectiveness of garlic for lowering
cholesterol, 45 subjects were treated with garlic in a processed
tablet form. Cholesterol levels were measured before and after the
treatment. The changes (beforeminusafter) in their levels of LDL
cholesterol (in mg/dL) have a mean of 2.9 and a standard deviation
of 17.3. Construct a 99% confidence interval estimate of the mean
net change in LDL cholesterol after the garlic treatment. What does
the confidence interval suggest about the effectiveness...

In a test of the effectiveness of garlic for lowering
cholesterol, 49 subjects were treated with garlic in a processed
tablet form. Cholesterol levels were measured before and after the
treatment. The changes (beforeminusafter) in their levels of LDL
cholesterol (in mg/dL) have a mean of 3.7 and a standard deviation
of 19.3. Construct a 95% confidence interval estimate of the mean
net change in LDL cholesterol after the garlic treatment. What does
the confidence interval suggest about the effectiveness...

In a test of the effectiveness of garlic for lowering
cholesterol, 50 subjects were treated with garlic in a processed
tablet form. Cholesterol levels were measured before and after the
treatment. The changes (beforeminus− after) in their levels of LDL
cholesterol (in mg/dL) have a mean of 4.1and a standard deviation
of 16.3 Construct a 99 % confidence interval estimate of the mean
net change in LDL cholesterol after the garlic treatment. What does
the confidence interval suggest about the...

In a test of the effectiveness of garlic for lowering
cholesterol, 42 subjects were treated with garlic in a processed
tablet form. Cholesterol levels were measured before and after the
treatment. The changes (before−after) in their levels of LDL
cholesterol (in mg/dL) have a mean of 3.7 and a standard deviation
of 17.2.
Construct a 99% confidence interval estimate of the mean net
change in LDL cholesterol after the garlic treatment. What does the
confidence interval suggest about the effectiveness...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 31 minutes ago

asked 35 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago