According to a research institution, men spent an average of $134.08 on Valentine's Day gifts in 2009. Assume the standard deviation for this population is $45 and that it is normally distributed. A random sample of 10 men who celebrate Valentine's Day was selected. Complete parts a through e. a. Calculate the standard error of the mean. (Round to two decimal places as needed.) b. What is the probability that the sample mean will be less than $130? P(x<$130)= (Round o four decimal places as needed.) c. What is the probability that the sample mean will be more than $145? D P(x>$145) = (Round to four decimal places as needed.) d. What is the probability that the sample mean will be between $110 and $165? GITE P ($110sxs $165) = (Round to four decimal places as needed.) e. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $134.08. $sxss (Round to the nearest dollar as needed.)
According to a research institution, men spent an average of $134.08 on Valentine's Day gifts in 2009. Assume the standard deviation for this population is $45 and that it is normally distributed. A random sample of 10 men who celebrate Valentine's Day was selected. Complete parts a through e. a. Calculate the standard error of the mean. (Round to two decimal places as needed.) b. What is the probability that the sample mean will be less than $130? P(x<$130)= (Round o four decimal places as needed.) c. What is the probability that the sample mean will be more than $145? D P(x>$145) = (Round to four decimal places as needed.) d. What is the probability that the sample mean will be between $110 and $165? GITE P ($110sxs $165) = (Round to four decimal places as needed.) e. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $134.08. $sxss (Round to the nearest dollar as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
![O
O
According to a research institution, men spent an average of $134.08 on Valentine's Day gifts in 2009. Assume the standard deviation for this population is $45 and that it is normally distributed. A random sample of 10 men who
celebrate Valentine's Day was selected. Complete parts a through e.
a. Calculate the standard error of the mean.
(Round to two decimal places as needed.)
b. What is the probability that the sample mean will be less than $130?
P(x<$130) =
(Round to four decimal places as needed.)
c. What is the probability that the sample mean will be more than $145?
P(x>$145)=
(Round to four decimal places as needed.)
d. What is the probability that the sample mean will be between $110 and $165?
P ($110 ≤x≤ $165) =
(Round to four decimal places as needed.)
e. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $134.08.
esc
≤x≤$
(Round to the nearest dollar as needed.)
F1
F2
80
#
F3
$
000
F4
%
F5
***
MacBook Air
A
F6
&
7
F7
8
F8
F9
0
Time Remaining: 02:15:50
F10
F11
+ 11
Next
F12
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdb4f9de-4618-4585-b286-a3a72f47fff7%2F453dfe98-77f5-45bb-a005-2ae73b20cb7f%2Fssjg2m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:O
O
According to a research institution, men spent an average of $134.08 on Valentine's Day gifts in 2009. Assume the standard deviation for this population is $45 and that it is normally distributed. A random sample of 10 men who
celebrate Valentine's Day was selected. Complete parts a through e.
a. Calculate the standard error of the mean.
(Round to two decimal places as needed.)
b. What is the probability that the sample mean will be less than $130?
P(x<$130) =
(Round to four decimal places as needed.)
c. What is the probability that the sample mean will be more than $145?
P(x>$145)=
(Round to four decimal places as needed.)
d. What is the probability that the sample mean will be between $110 and $165?
P ($110 ≤x≤ $165) =
(Round to four decimal places as needed.)
e. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $134.08.
esc
≤x≤$
(Round to the nearest dollar as needed.)
F1
F2
80
#
F3
$
000
F4
%
F5
***
MacBook Air
A
F6
&
7
F7
8
F8
F9
0
Time Remaining: 02:15:50
F10
F11
+ 11
Next
F12
2
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt