Question
In: Statistics and Probability
A simple random sample of size n equals 40 is drawn from apopulation. The sample...
A simple random sample of size n equals 40 is drawn from a population. The sample mean is found to be x overbar equals 121.3 and the sample standard deviation is found to be s equals 12.9. Construct a 99% confidence interval for the population mean.
Upper:
Lower:
Solutions
Expert Solution
t
/2,df = 2.708
Margin of error = E = t/2,df * (s /√n)
= 2.708 * (12.9 / √ 40)
Margin of error = E = 5.5
The 99% confidence interval estimate of the population mean is,
- E < 
< + E
121.3 - 5.5 < < 121.3 + 5.5
115.8 < < 126.8
Lower: 115.8
Upper: 126.8
orchestra answered 2 years agoRelated Solutions
A simple random sample of size n equals n=40 is drawn from a population. The sample...
A simple random sample of size
n equals n=40
is drawn from a population. The sample mean is found to be
x overbar equals 120.3
and the sample standard deviation is found to be
s equals 12.3
Construct a 99% confidence interval for the population
mean.
A simple random sample of size n equals n=40 is drawn from a population. The sample...
A simple random sample of size
n equals n=40
is drawn from a population. The sample mean is found to be
x overbar equals x=120.1
and the sample standard deviation is found to be
s equals s=12.5.
Construct a 99% confidence interval for the population
mean.
The lower bound is:
The upper bound is:
*ANSWERS FOR TI 84 CALC
A simple random sample of size n equals 40 is drawn from a population. The sample...
A simple random sample of size n equals 40 is drawn from a
population. The sample mean is found to be x overbar equals 121.9
and the sample standard deviation is found to be s equals 12.9.
Construct a 99% confidence interval for the population mean.
Lower bound:
Upper bound:
A simple random sample of size n equals 40n=40 is drawn from a population. The sample...
A simple random sample of size
n equals 40n=40
is drawn from a population. The sample mean is found to be
x overbar equals 121.1x=121.1
and the sample standard deviation is found to be
s equals 12.7s=12.7.
Construct a 99% confidence interval for the population
mean.
The lower bound is..
the upper bound is..
A simple random sample of size n equals 18 is drawn from a population that is...
A simple random sample of size n equals 18 is drawn from a
population that is normally distributed. The sample mean is found
to be x overbar equals 62 and the sample standard deviation is
found to be s equals 20. Construct a 95% confidence interval about
the population mean.
A simple random sample of size n equals 16 is drawn from a population that is...
A simple random sample of size
n equals 16
is drawn from a population that is normally distributed. The
sample variance is found to be
13.7
Test whether the population variance is greater than
10
at the
alpha equals 0.05
level of significance.
I only need to find the test statistic and the p-value. Would
you go through it step by step please.
A simple random sample of size n=40 is drawn from a population. The sample mean is...
A simple random sample of size n=40 is drawn from a population.
The sample mean is found to be x=121.7 and the sample standard
deviation is found to be s=13.3.
Construct a 99% confidence interval for the population
mean.
The lower bound is
(Round to two decimal places as needed.)
A simple random sample of size n= 40 is drawn from a population. The sample mean...
A simple random sample of size n= 40 is drawn from a population.
The sample mean is found to be x= 120.6 and the sample standard
deviation is found to be
s 13.3 Construct a 99% confidence interval for the population
mean.
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 115, and the sample standard deviation, s, is found to be 10.
(a) Construct an 80% confidence interval about mu if the sample
size, n, is 12. (b) Construct an 80% confidence interval about mu
if the sample size, n, is 27. (c) Construct a 98% confidence
interval about mu 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 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,...
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