Question

Scientists want to estimate the mean weight of mice after they have been fed a special...

Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with standard deviation of 5 grams. How many mice must be weighed so that a 95% confidence interval will have margin of error of 0.5 grams.

Write only an integer as your answer.

Homework Answers

Answer #1

Solution

standard deviation = =5

Margin of error = E = 0.5

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96 ( Using z table ( see the 0.025 value in standard normal (z) table corresponding z value is 1.96 )

sample size = n = [Z/2* / E] 2

n = ( 1.96*5 / 0.5 )2

n =384.16

Sample size = n =384

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
scientists want to estimate the mean weight of mice after they have been fed a special...
scientists want to estimate the mean weight of mice after they have been fed a special diet. from previous studies, it is known that the weight is normally distributed with standard deviation 2 grams. how many mice must be weighed so that a 95% confidence interval will have margin of error of 0.5 grams. write only an integer as your as your answer.
scientists want to estimate the mean weight of mice after they have been fed a special...
scientists want to estimate the mean weight of mice after they have been fed a special diet period from previous studies that is known that the weight is normally distributed with standard deviation 6 grams. How many mice must be weighed so that 95% confidence interval will have a margin error of 0.5 grams ? Right only an integer as your answer
Scientists want to estimate the mean weight of mice after they have been fed a special...
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with standard deviation 6 grams. How many mice must be weighed so that a 95% confidence interval will have margin of error of 0.5 grams?
Scientists want to estimate the mean weight of mice after they have been fed a special...
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with standard deviation 3 grams. How many mice must be weighed so that a 99% confidence interval will have a margin of error of 0.5 gram?
Scientists want to estimate the mean weight of mice after they have been fed a special...
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with standard deviation s=3 grams. How many mice must be weighted so that 95% confidence interval will have a margin of error 0.5 grams?                             (8-Pts)
A laboratory scale is known to have a standard deviation of σ = 0.001 gram in...
A laboratory scale is known to have a standard deviation of σ = 0.001 gram in repeated weighings. Scale readings in repeated weighings are Normally distributed, with mean equal to the true weight of the specimen. Another specimen is weighed eight times on this scale. The average weight is 4.1602 grams. You want a 99% confidence interval for the true weight of this specimen. The margin of error for this interval will be Group of answer choices a. smaller than...
A medical statistician wants to estimate the average weight loss of those who have been on...
A medical statistician wants to estimate the average weight loss of those who have been on a new diet plan for 2 weeks. From a random sample of 100 participants in the diet plan, a mean weight change of -2.5 pounds and a standard deviation of 10 pounds are observed. In order to claim that the diet plan is effective, the whole part of the confidence interval for the mean weight change has to be below zero. In other words,...
You want to estimate the mean weight of quarters in circulation. A sample of 50 quarters...
You want to estimate the mean weight of quarters in circulation. A sample of 50 quarters has a mean weight of 5.638 grams and a standard deviation of 0.066 gram. Use a single value to estimate the mean weight of all quarters Also find the 95% confidence interval for the average weight of all quarters. The estimate for the mean of all quarters is__grams (Round to three deci,al as needed) Find the 95% confidence interval for the mean weight of...
Victoria wants to estimate the mean weight of apples in her orchard. She'll sample m apples...
Victoria wants to estimate the mean weight of apples in her orchard. She'll sample m apples and make a 95% confidence interval for the mean weight. She is willing to use o = 15 grams as an estimate of the standard deviation, and she wants the margin of error to be no more than 5 grams. Which of these is the smallest approximate samole soze required to obtain the desired margin of error? Choose 1 answer; A. 5 apples B....
A researcher claims that adult German Shepherd male dogs fed a special diet have an average...
A researcher claims that adult German Shepherd male dogs fed a special diet have an average weight of 85 pounds. A random sample of 12 such dogs shows an average weight of 83.2 pounds with a standard deviation of 2.5 pounds (a) Test an appropriate hypotheses. use a significant level of 0.05 (b) Find the 95% confident interval for the true mean weight
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT