Question

Sheila's measured glucose level one hour after a sugary drink varies according to the Normal distribution...

Sheila's measured glucose level one hour after a sugary drink varies according to the Normal distribution with μ = 130 mg/dl and σ = 15 mg/dl. What is the level L such that there is probability only 0.15 that the mean glucose level of 4 test results falls above L?

Homework Answers

Answer #1

Solution:

Given that ,

= 130

= 15

A sample of size n = 4 is taken from this population.

Let be the mean of sample.

The sampling distribution of the is approximately normal with

Mean = = 130

SD =      = 15/​4 = 7.5

For level L , P( > L ) = 0.15

For z , P(Z > z) = 0.15

P(Z < z) = 1 - 0.15

P(Z < z) = 0.85

From z table , P(Z < 1.036) = 0.95

z = 1.036

Using z score formula

L = + (z * ) = 130 + (1.036 * 7.5) = 137.77

Answer : Required L = 137.77

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Sheila's measured glucose level one hour after a sugary drink varies according to the Normal distribution...
Sheila's measured glucose level one hour after a sugary drink varies according to the Normal distribution with μμ = 130 mg/dl and σσ = 20 mg/dl. What is the level L such that there is probability only 0.15 that the mean glucose level of 8 test results falls above L? L=
(1 point) Sheila's measured glucose level one hour after a sugary drink varies according to the...
(1 point) Sheila's measured glucose level one hour after a sugary drink varies according to the Normal distribution with μ μ = 130 mg/dl and σ σ = 20 mg/dl. What is the level L such that there is probability only 0.05 that the mean glucose level of 8 test results falls above L? L= L =
ch 15. #10 (15.31) Shelia's measured glucose level one hour after a sugary drink varies according...
ch 15. #10 (15.31) Shelia's measured glucose level one hour after a sugary drink varies according to the Normal distribution with μ = 116 mg/dl and σ = 10.4 mg/dl. What is the level L (±0.1) such that there is probability only 0.01 that the mean glucose level of 4 test results falls above L? L = ????
Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution...
Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with ?=117μ=117 mg/dl and ?=10.6σ=10.6 mg/dl. What is the level ?L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above ?L? Give your answer precise to one decimal place. ?=
The measured glucose level one hour after having a sugary drink varies according to the normal...
The measured glucose level one hour after having a sugary drink varies according to the normal distribution with μ = 112 mg/dl and ϭ = 20 mg/dl. a) What is the level (call it L) such that there is probability of only 0.01 that the sample mean glucose level from five tests falls above L? (Hint: this is a Normal Table problem) b) If a sample of 5 glucose tests actually had a mean of 120 mg, what is the...
Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during...
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...
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...
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...
Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during...
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 =...
(1 point) Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose...
(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...