The standard deviation of the lengths of hospital stay on the intervention ward is 7.8 days. Complete parts (a) through (c) below. a. For the variable "length of hospital stay." determine the sampling distribution of the sample mean for samples of 66 patients. The standard deviation of the sample mean is a = 9 days. (Round to four decimal places as needed.) b. The distribution of the length of hospital stay is right skewed. Does this invalidate your result in part (a)? Explain your answer. O A. No, because the sample sizes are sufficiently large that x will be approximately normlly distributed, regardless of the distribution of x. B. Yes, because the sample sizes are not sufficiently large that x will be approximately normally distributed, regardless of the distribution of x. OC. No, because if x is normally distributed, then x must be normally distributed. D. Yes, because x is only normally distributed if x is normally distributed. c. Obtain the probability that the sampling error made in estimating the population mean length of stay by the mean length of stay of a sample of 66 patients will be at most 2 days. The probability is approximately 90. (Round to three decimal places as needed.)
The standard deviation of the lengths of hospital stay on the intervention ward is 7.8 days. Complete parts (a) through (c) below. a. For the variable "length of hospital stay." determine the sampling distribution of the sample mean for samples of 66 patients. The standard deviation of the sample mean is a = 9 days. (Round to four decimal places as needed.) b. The distribution of the length of hospital stay is right skewed. Does this invalidate your result in part (a)? Explain your answer. O A. No, because the sample sizes are sufficiently large that x will be approximately normlly distributed, regardless of the distribution of x. B. Yes, because the sample sizes are not sufficiently large that x will be approximately normally distributed, regardless of the distribution of x. OC. No, because if x is normally distributed, then x must be normally distributed. D. Yes, because x is only normally distributed if x is normally distributed. c. Obtain the probability that the sampling error made in estimating the population mean length of stay by the mean length of stay of a sample of 66 patients will be at most 2 days. The probability is approximately 90. (Round to three decimal places as needed.)
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![The standard deviation of the lengths of hospital stay on the intervention ward is 7.8 days. Complete parts (a) through (c) below.
a. For the variable "length of hospital stay." determine the sampling distribution of the sample mean for samples of 66 patients.
The standard deviation of the sample mean is o: = 9 days.
(Round to four decimal places as needed.)
b. The distribution of the length of hospital stay is right skewed. Does this invalidate your result in part (a)? Explain your answer.
O A. No, because the sample sizes are sufficiently large that x will be approximately normally distributed, regardless of the distribution of x.
O B. Yes, because the sample sizes are not sufficiently large that x will be approximately normally distributed, regardless of the distribution of x.
O C. No, because if x is normally distributed, then x must be normally distributed.
O D. Yes, because x is only normally distributed if x is normally distributed.
c. Obtain the probability that the sampling error made in estimating the population mean length of stay by the mean length of stay of a sample of 66 patients will be at most 2 days.
The probability is approximately 90.
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff534fa3a-7fc6-4517-a79f-1e1d7853b104%2Fa0e36fb4-2acc-41a5-bc43-1bfbd23736c8%2F5j16fc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The standard deviation of the lengths of hospital stay on the intervention ward is 7.8 days. Complete parts (a) through (c) below.
a. For the variable "length of hospital stay." determine the sampling distribution of the sample mean for samples of 66 patients.
The standard deviation of the sample mean is o: = 9 days.
(Round to four decimal places as needed.)
b. The distribution of the length of hospital stay is right skewed. Does this invalidate your result in part (a)? Explain your answer.
O A. No, because the sample sizes are sufficiently large that x will be approximately normally distributed, regardless of the distribution of x.
O B. Yes, because the sample sizes are not sufficiently large that x will be approximately normally distributed, regardless of the distribution of x.
O C. No, because if x is normally distributed, then x must be normally distributed.
O D. Yes, because x is only normally distributed if x is normally distributed.
c. Obtain the probability that the sampling error made in estimating the population mean length of stay by the mean length of stay of a sample of 66 patients will be at most 2 days.
The probability is approximately 90.
(Round to three decimal places as needed.)
![According to one study, brain weights of men are normally distributed with a mean of 1.10 kg and a standard deviation of 0.12 kg. Use the data
answer parts (a) through (e).
Click here to view page 1 of the table of areas under the standard normal curve.
Click here to view page 2 of the table of areas under the standard normal curve.
n=3
Pop
n= 12
Pop
:n= 12
:n=3
n= 12
n= 12
n= 3
Pop
Pop
11
11
d. Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg. Interpret your answer in terms of sampling error.
%
(Round to two decimal places as needed.)
This is the percentage that the sampling error made in estimating
by that of
V will be
0.1 kg.
e. Repeat part (d) for samples of size 12.
The percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg is %.
(Round to two decimal places as needed.)
This is the percentage that the sampling error made in estimating
by that of
will be
0.1 kg.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff534fa3a-7fc6-4517-a79f-1e1d7853b104%2Fa0e36fb4-2acc-41a5-bc43-1bfbd23736c8%2Fyp4fae2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:According to one study, brain weights of men are normally distributed with a mean of 1.10 kg and a standard deviation of 0.12 kg. Use the data
answer parts (a) through (e).
Click here to view page 1 of the table of areas under the standard normal curve.
Click here to view page 2 of the table of areas under the standard normal curve.
n=3
Pop
n= 12
Pop
:n= 12
:n=3
n= 12
n= 12
n= 3
Pop
Pop
11
11
d. Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg. Interpret your answer in terms of sampling error.
%
(Round to two decimal places as needed.)
This is the percentage that the sampling error made in estimating
by that of
V will be
0.1 kg.
e. Repeat part (d) for samples of size 12.
The percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg is %.
(Round to two decimal places as needed.)
This is the percentage that the sampling error made in estimating
by that of
will be
0.1 kg.
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