Question

Blood glucose levels are used to determine the presence of diabetes. Suppose the mean ln (blood glucose) concentration (mg/dl) in 20 to 32 year olds is 5.00 with a standard deviation of 0.45. A study of 100 people in this age group is planned to test whether they have a different level of plasma glucose than the general population.

a. If the expected difference is 0.15 ln units, what is the probability of rejecting the null hypothesis using a two sided test at a 5% level of significance?

b. How many people would need to be studied to have 90% power under the assumptions in part (a)?

Answer #1

Concentration in 20 to 32 years olds has a standard deviation

a)

Test statistic :

the probability of rejecting the null hypothesis using a two-sided test is : The P-value for the two-tailed test is = 0.0009

b) power of the test is

190 people would be need to study to have 90% power

Sheila's doctor is concerned that she may suffer from
gestational diabetes (high blood glucose levels during pregnancy).
There is variation both in the actual glucose level and in the
blood test that measures the level. A patient is classified as
having gestational diabetes if the glucose level is above 140
milligrams per deciliter (mg/dl) one hour after a sugary drink is
ingested. Sheila's measured glucose level one hour after ingesting
the sugary drink varies according to the Normal distribution with...

Shelia's doctor is concerned that she may suffer from
gestational diabetes (high blood glucose levels during pregnancy).
There is variation both in the actual glucose level and in the
blood test that measures the level. In a test to screen for
gestational diabetes, a patient is classified as needing further
testing for gestational diabetes if the glucose level is above 150
milligrams per deciliter (mg/dL) one hour after a sugary drink.
Shelia's measured glucose level one hour after the sugary...

Sheila's doctor is concerned that she may suffer from
gestational diabetes (high blood glucose levels during pregnancy).
There is variation both in the actual glucose level and in the
blood test that measures the level. A patient is classified as
having gestational diabetes if the glucose level is above 140
miligrams per deciliter (mg/dl) one hour after having a sugary
drink. Sheila's measured glucose level one hour after the sugary
drink varies according to the Normal distribution with μμ =...

Shelia's doctor is concerned that she may suffer from
gestational diabetes (high blood glucose levels during pregnancy).
There is variation both in the actual glucose level and in the
blood test that measures the level. In a test to screen for
gestational diabetes, a patient is classified as needing further
testing for gestational diabetes if the glucose level is above 145
milligrams per deciliter (mg/dL) one hour after a sugary drink.
Shelia's measured glucose level one hour after the sugary...

When red blood cell (RBC) hemoglobin is exposed to high blood
glucose levels, it becomes
glycated. The hemoglobin A1c test measures the percentage of
glycated red blood cells in whole
blood as an indicator of blood glucose levels over the 90-day
lifespan of an RBC. Hemoglobin
A1c levels between 4% and 5.9% are considered normal. A1c
levels are well correlated with
average blood glucose levels. An A1c level of 6% (minimal for
a diagnosis of diabetes) is
equivalent to an...

Sheila's doctor is concerned that she may suffer from
gestational diabetes (high blood glucose levels during pregnancy).
There is variation both in the actual glucose level and in the
blood test that measures the level. A patient is classified as
having gestational diabetes if the glucose level is above 140
milligrams per deciliter (mg/dl) one hour after a sugary drink is
ingested. Sheila's measured glucose level one hour after ingesting
the sugary drink varies according to the Normal distribution with...

Sheila's doctor is concerned that she may suffer from
gestational diabetes (high blood glucose levels during pregnancy).
There is variation both in the actual glucose level and in the
blood test that measures the level. A patient is classified as
having gestational diabetes if her glucose level is above 120
milligrams per deciliter (mg/dl) one hour after a sugary drink.
Sheila's measured glucose level one hour after the sugary drink
varies according to the Normal distribution with μ = 105...

Shelia's doctor is concerned that she may suffer from
gestational diabetes (high blood glucose levels during pregnancy).
There is variation both in the actual glucose level and in the
blood test that measures the level. A patient is classified as
having gestational diabetes if the glucose level is above 140
milligrams per deciliter one hour after a sugary drink is ingested.
Shelia's measured glucose level one hour after ingesting the sugary
drink varies according to the Normal distribution with mean...

Assume that fasting glucose levels in patients free of diabetes
follow a normal distribution with a mean of 76 mg/dL and a standard
deviation of 21. What proportion of patients have glucose levels
exceeding 90 mg/dL? If a patient has a glucose level of 115 mg/dL,
what percentile is this? What is the probability that the mean
glucose level exceeds 100 mg/dL in a sample of 15 patients?

(1 point) Sheila's doctor is concerned that she may suffer from
gestational diabetes (high blood glucose levels during pregnancy).
There is variation both in the actual glucose level and in the
blood test that measures the level. A patient is classified as
having gestational diabetes if the glucose level is above 140
miligrams per deciliter (mg/dl) one hour after having a sugary
drink. Sheila's measured glucose level one hour after the sugary
drink varies according to the Normal distribution with...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 34 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 4 hours ago