Question

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.

Answer #1

Solution

standard deviation = =2

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}
= Z_{0.025} = 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* 2 /0.5 )^{2}

n =61.46

Sample size = n =62

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.

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 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 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 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 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 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 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...

Suppose that the weights of all mice are known to be normally
distributed with mean µ = 30 grams and standard deviation σ = 5.
You have a sample of 50 brown mice. The sample mean for your 50
brown mice is 53 grams. You believe that weights of brown mice are
diﬀerent than mice in general. Suppose that the weights of brown
mice are also normally distributed with known standard deviation of
5 grams.
(a) State the null and...

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....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 25 minutes ago

asked 27 minutes ago

asked 40 minutes ago

asked 1 hour ago

asked 1 hour 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