3/23/2022-HW Normal Distribution--using Empirical Rule

By Melanie S Boyd
Last updated over 1 year ago
17 Questions
Required

A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3. In show your work, label the information appropriately, providing the correct information across the bottom and include the % for each section of standard deviation.

Required

A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3. What is the percentage of scores that are higher than 79?

Please input your answer as a percentage to the tenths place, if necessary (ex. 23.4%)

Required

A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3. What is the percentage of scores that are lower than 82?

Please input your answer as a percentage to the tenths place (ex. 23.4%)

Required

A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3. What is the proportion the of scores between 73 and 82?

Please input your answer as a percentage to the tenths place (ex. 23.4%)

Required

A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3.
What is the proportion the of scores between 70 and 82?

Round your answer to the nearest whole number, if necessary.

Required

A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3.
How many scores fell within one standard deviations of the mean?

BE CAREFUL WITH THIS ONE AND READ CAREFULLY!!

THIS IS ASKING FOR 'HOW MANY SCORES' SO MULTIPLY THE % (AS A DECIMAL) BY THE TOTAL NUMBER OF SCORES IN THE DISTRIBUTION.

Round your answer to the nearest whole number, if necessary. (no units required)

Required

A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3.
How many scores fell within two standard deviations of the mean?

BE CAREFUL WITH THIS ONE AND READ CAREFULLY!!

THIS IS ASKING FOR 'HOW MANY SCORES' SO MULTIPLY THE % (AS A DECIMAL) BY THE TOTAL NUMBER OF SCORES IN THE DISTRIBUTION.

Round your answer to the nearest whole number, if necessary. (no units required)

Required

The talk-time battery life of a group of cell phones is normally distributed with a mean of 300 minutes and a standard deviation of 15 minutes. In show your work, label the information appropriately, providing the correct information across the bottom and include the % for each section of standard deviation.

Required

The talk-time battery life of a group of cell phones is normally distributed with a mean of 300 minutes and a standard deviation of 15 minutes. What percentage of the phones have a battery life of 285 minutes or longer?

Please input your answer as a percentage to the tenths place (ex. 23.4%)

Required

The talk-time battery life of a group of cell phones is normally distributed with a mean of 300 minutes and a standard deviation of 15 minutes. What percentage of the phones have a battery life between 270 minutes and 300 minutes?

Please input your answer as a percentage to the tenths place (ex. 23.4%)

Required

The talk-time battery life of a group of cell phones is normally distributed with a mean of 300 minutes and a standard deviation of 15 minutes. What percentage of the phones have a battery life above 330 minutes?

Please input your answer as a percentage rounded to the tenths place.

Required

The number of hours that the employees at the grocery store worked last week is normally distributed with a mean of 24 and a standard deviation of 6. What is the percentage of employees that worked for 30 hours or more last week?

Required

The number of hours that the employees at the grocery store worked last week is normally distributed with a mean of 24 and a standard deviation of 6. If there are 60 total employees, approximately how many employees worked for 30 hours or more last week?

(this is like #6 & 7)

round your answer to the nearest whole number (just type the number..don't include any words)

Required

The grade point average (GPA) of the students at Lakeview High School is normally distributed with a mean of 3.1 and a standard deviation of 0.3 What is the % of students that have a GPA between 2.5 and 3.7?

Required

The grade point average (GPA) of the students at Lakeview High School is normally distributed with a mean of 3.1 and a standard deviation of 0.3 If there are 1800 students enrolled at the school, approximately how many have a GPA between 2.5 and 3.7?

(this is like #6 & 7)

round your answer to the nearest whole number. (no units required)

upload your pages of work here--page 1

upload your pages of work here--page 2