Question
2. The SAT scores of 12 randomly selected high school seniors are given as: 1700 1940...
2. The SAT scores of 12 randomly selected high school seniors are given as: 1700 1940 1510 2000 1430 1870
1990 1650 1820 1670 2210 1380
Assume the population distribution is normal.
1. Find the sample mean [use technology]
2.Find the sample standard deviation [use technology]
3.Construct a 99% confidence interval for the population mean μ.
d. Construct a 95% confidence interval for the population mean μ. Interpret the results.
e. How does decreasing the level of confidence in part (d) change the width of
the confidence interval?
Homework Answers
Answer #1
1. Using Technology we have sample mean 
2. Using Technology we have sample standard
deviation 
3. The 
confidence interval is given by
For 99% confidence interval 
So the interval is
4) For 95% confidence interval 
So the interval is
By decreasing the level of confidence the width of the interval decreases.
Not the answer you're looking for?
Similar Questions
A researcher is interested in determining the average SAT score to be expected of a group...
A researcher is interested in determining the average SAT score
to be expected of a group of test takers. They collect data from 12
randomly selected high school seniors and construct a 98% confidence
interval. Assume the SAT scores are normally distributed. [If you
do not have a calculator: Px = 21170, Px2 = 38047900] 1700 1940
1510 2000 1430 1870 1990 1650 1820 1670 2210 1380
(a) To create the desired confidence interval, should we be using a
T...
10) The SAT scores for 12 randomly selected seniors at a particular high school are given...
10) The SAT scores for 12 randomly selected seniors at a
particular high school are given below. Assume that the SAT scores
for seniors at this high school are normally distributed.
867
1,234
894
1,264
614
861
1,382
968
824
944
702
1,360
a) Find a 95% confidence interval for the true mean SAT score
for students at this high school.
b) Provide the margin of error of the interval
as your answer.
Round your answer to the nearest whole...
10) The SAT scores for 12 randomly selected seniors at a particular high school are given...
10) The SAT scores for 12 randomly selected seniors at a
particular high school are given below. Assume that the SAT scores
for seniors at this high school are normally distributed.
1,099
678
690
873
721
651
689
790
1,150
754
709
686
a) Find a 95% confidence interval for the true mean SAT score
for students at this high school.
b) Provide the margin of error of the interval
as your answer.
Round your answer to the nearest whole...
9) The SAT scores for 12 randomly selected seniors at a particular high school are given...
9)
The SAT scores for 12 randomly selected seniors at a particular
high school are given below. Assume that the SAT scores for seniors
at this high school are normally distributed.
804
1,181
1,255
1,039
930
1,307
1,312
610
967
1,051
1,184
1,315
a) Find a 95% confidence interval for the true mean SAT score
for students at this high school.
b) Provide the right endpoint of the interval
as your answer.
Round your answer to the nearest whole
number.
9) The SAT scores for 12 randomly selected seniors at a particular high school are given...
9)
The SAT scores for 12 randomly selected seniors at a particular
high school are given below. Assume that the SAT scores for seniors
at this high school are normally distributed.
1,062
1,057
1,363
1,042
813
833
902
1,136
617
1,040
1,111
1,080
a) Find a 95% confidence interval for the true mean SAT score
for students at this high school.
b) Provide the right endpoint of the interval
as your answer.
Round your answer to the nearest whole
number.
31) The SAT scores for 12 randomly selected seniors at a particular high school are given...
31)
The SAT scores for 12 randomly selected seniors at a particular
high school are given below. Assume that the SAT scores for seniors
at this high school are normally distributed.
928
743
1,329
920
827
927
1,250
1,339
1,392
955
934
1,024
a) Find a 95% confidence interval for the true mean SAT score
for students at this high school.
b) Provide the right endpoint of the interval
as your answer.
Round your answer to the nearest whole
number....
The state test scores for 12 randomly selected high school seniors are shown below. Assume the...
The state test scores for 12 randomly selected high school
seniors are shown below. Assume the population is normally
distributed. Find (a) the sample mean. (b) Find the sample standard
deviation (c) Construct a 99% confidence interval for the
population mean u
1424 1220 980
691 721 837
723 745 547
620 1450 940
(a) Find the sample mean.
x = _______
(Round to one decimal place as needed.)
(b) Find the sample standard deviation.
(c) Construct a 99% confidence...
The state test scores for 12 randomly selected high school seniors are shown on the right....
The state test scores for 12 randomly selected high school
seniors are shown on the right. Complete parts (a) through (c)
below.
Assume the population is normally distributed.
1430
1223
985
691
727
833
725
748
540
624
1448
949
(a) Find the sample mean.
x= _ (Round to one decimal place as needed.)
(b) Find the sample standard deviation.
s= _ (Round to one decimal place as needed.)(c)
Construct a 99% confidence interval for the population mean is
(...
The state test scores for 12 randomly selected high school seniors are shown on the right....
The
state test scores for 12 randomly selected high school
seniors are shown on the right. Complete parts (a) through (c)
below.
Assume the population is normally distributed.
1425
1223
988
694
720
830
721
743
544
620
1442
943
(a)Find the sample mean.
x=____
(Round to one decimal place as needed.)
(b) Find the sample standard deviation.
s=____ (Round to one decimal place as needed.)
(c) Construct a
95%
confidence interval for the population mean
μ.
A
95%
confidence...
The state test scores for 12 randomly selected high school seniors are shown on the right....
The state test scores for 12 randomly selected high school
seniors are shown on the right. Complete parts (a) through (c)
below. Assume the population is normally distributed. 1420 1227 989
691 726 833 722 747 547 630 1442 948 (a) Find the sample mean. x
overbarequals nothing (Round to one decimal place as needed.)
(b) Find the sample standard deviation. sequals nothing (Round to
one decimal place as needed.) (c) Construct a 90% confidence
interval for the population mean...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 29 minutes ago
asked 34 minutes ago
asked 36 minutes ago
asked 57 minutes ago
asked 59 minutes 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