Question
In: Math
A simple random sample of size 19 is obtained from a population that is normally distributed with a mean of 43,8 and a standard deviation of 2. Is the sampling distribution normally distributed? Why?
Which of the following is false?
Correlation measures the strength of linear association between two numerical variables.
If the correlation between two variables is close to 0.01, then there is a very weak linear relation between them.
Correlation coefficient and the slope always have the same sign (positive or negative).
if the correlation coefficient is 1, then the slope must be 1 as well.
A simple random sample of size 19 is obtained from a population that is normally distributed with a mean of 43,8 and a standard deviation of 2. Is the sampling distribution normally distributed? Why?
Yes, the sampling distribution is normally distributed because the population is normally distributed
No, the sampling distribution is not normally distributed because the population is not normally distributed
Yes, the sampling distribution is normally distributed because the population mean is greater than 30
No, the sampling distribution is not normally distributed because the sample size is less than 30.
Solutions
Expert Solution
1. The false statement is:
If the correlation coefficient is 1, then the slope must be 1 as well.
2. Yes, the sampling distribution is normally distributed because the population is normally distributed.
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A simple random sample of size n is drawn from a population that
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar is found to be
112, and the sample standard deviation, s, is found to be 10.
(a) Construct a 95% confidence interval about μ if the sample
size, n, is 26.
(b) Construct a 95% confidence interval about μ if the sample
size, n, is 17.
(c) Construct an 80% confidence interval about μ if the
sample size, n,...
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean,
x overbarx,
is found to be
106106,
and the sample standard deviation, s, is found to be
1010.
(a) Construct
aa
9595%
confidence interval about
muμ
if the sample size, n, is
1111.
(b) Construct
aa
9595%
confidence interval about
muμ
if the sample size, n, is
2929.
(c) Construct
aa
9999%
confidence interval about
muμ
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean,
x overbarx, is found to be 110, and the sample standard
deviation, s, is found to be 10.
(b) Construct a 95% confidence interval about μ if the sample
size, n, is 13.
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size, n, is 25.
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(a)-(c) if the...
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean,x overbarx, is found to
be 115,and the sample standard deviation, s, is found to be
10.
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size, n, is 23.
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size, n, is 18.
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A simple random sample of size n is drawn from a population that
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