Question

A set of data is determined to be normally distributed, with a mean of 200 and...

  1. A set of data is determined to be normally distributed, with a mean of 200 and a standard deviation of 20. What percent of observations will fall between:

a. 180 and 200?






b. 160 and 220?






c. Below 180?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Here we have

(a)

The z-score for x = 180 is

The z-score for x = 200 is

The required probability is

(b)

The z-score for x = 160 is

The z-score for x = 220 is

The required probability is

(c)

The z-score for x = 180 is

The required probability is

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For a very large set of data, the measured mean is found to be 200 with...
For a very large set of data, the measured mean is found to be 200 with a standard deviation of 20. Assuming the data to be normally distributed, determine the range within which 60% of the data are expected to fall.
Assume the data set described is normally distributed with the given mean and standard deviation, and...
Assume the data set described is normally distributed with the given mean and standard deviation, and with n total values. Find the approximate number of data values that will fall in the given range. Mean= −14.5 Standard deviation= 1.7 n= 120 Range: −17.9 to −11.1 in this case, we expect about data values to fall between -17.9 and −11.1
1. If a set of data follows a normal curve distribution, with a mean of 180...
1. If a set of data follows a normal curve distribution, with a mean of 180 and a standard deviation of 20, then approximately 95% % of the data lies in a region centered round the mean between values of (3 points) 160 and 200 140 and 220 120 and 240   100 and 260 80 and 280   2. Calculate by hand the range, variance and standard deviation for this data. Round your answers to two decimal points. (12 points) 20,...
Suppose a normally distributed set of data with 2100 observations has a mean of 130 and...
Suppose a normally distributed set of data with 2100 observations has a mean of 130 and a standard deviation of 19. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be above a value of 111. Round your answer to the nearest whole value.
Suppose a normally distributed set of data with 8000 observations has a mean of 167 and...
Suppose a normally distributed set of data with 8000 observations has a mean of 167 and a standard deviation of 11. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be above a value of 145. Round your answer to the nearest whole value.
a normally distributed data set has a mean of 150 and a standard deviation of 30...
a normally distributed data set has a mean of 150 and a standard deviation of 30 determine the probability that randomly selected x-value between 100 and 175 (2 pt)A normally distributed set of data has a mean of 60 and a standard deviation of 10 Determine the probability that a randomly selected x-value is a. at least 45 and b. at most 66.
The mean of a normally distributed data set is 112, and the standard deviation is 18....
The mean of a normally distributed data set is 112, and the standard deviation is 18. a) Use the Empirical Rule to find the probability that a randomly-selected data value is greater than 130. b) Use the Empirical Rule to find the probability that a randomly-selected data value is greater than 148. A psychologist wants to estimate the proportion of people in a population with IQ scores between 85 and 130. The IQ scores of this population are normally distributed...
In a normally distributed set of scores, the mean is 35 and the standard deviation is...
In a normally distributed set of scores, the mean is 35 and the standard deviation is 7. Approximately what percentage of scores will fall between the scores of 28 and 42? What range scores will fall between +2 and -2 standard deviation units in this test of scores? Please show work.
Suppose a normally distributed set of data has a mean of 193 and a standard deviation...
Suppose a normally distributed set of data has a mean of 193 and a standard deviation of 13. Use the 68-95-99.7 Rule to determine the percent of scores in the data set expected to be below a score of 219. Give your answer as a percent and includeas many decimal places as the 68-95-99.7 rule dictates. (For example, enter 99.7 instead of 0.997.)
A set of data items is normally distributed with a mean of 500. Find the data...
A set of data items is normally distributed with a mean of 500. Find the data item in this distribution that corresponds to the z= 1.5 and the standard deviation of 50.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT