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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.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
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
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