Suppose X has a normal distribution with mean 80 and standard deviation of 10. Between what...

Question

Question

Suppose X has a normal distribution with mean 80 and standard deviation of 10. Between what values of x do 95% of the values lie?

a)50 and 110

b)60 and 90

c)60 and 100

d)75 and 85

Answer 1

Answer #1

we know that (mean +/- 2SD) covers 95% area in normal distribution. here we have given mean= 80 and

standard deviation (SD) = 10 so x = ( 80- 2*10),(80+2*10)

x =(60 and 100)

hence (c) is the right answer.

Answer 2

Similar Homework Help Questions

In a normal distribution with a mean of 90 and a standard deviation of 10, which...

In a normal distribution with a mean of 90 and a standard deviation of 10, which of the following scores lie within +/- one standard deviation from the mean? Select one: a. 10 - 100. b. 10 - 90. c. 80 - 100. d. 70 -110.
A normal distribution has a mean of 80 with a standard deviation of 20. What score...

A normal distribution has a mean of 80 with a standard deviation of 20. What score separates the highest 40% of the distribution from the rest of the scores? A) X= 54.4 B) X= 85 C) X= 75 D) X= 105.6
Chebyshev's Theorem and the Empirical Rule 1. For a distribution with mean 80 and standard deviation...

Chebyshev's Theorem and the Empirical Rule 1. For a distribution with mean 80 and standard deviation 10 A) What percentage of values will fall between 60 and 100? B) What percentage of values will fall between 50 and 110? 2. The average U.S. yearly per capita consumption of citrus fruit is 26.8 pounds. Suppose that the A) What percentage of Americans would you expect to consume more than 31 pounds of citrus d is bell-shaped with a standard deviation of...

Scores on a test are normally distributed with a mean of 70 and standard deviation of...

Scores on a test are normally distributed with a mean of 70 and standard deviation of 10. Applying the Empirical Rule, we would expect the middle 95% of scores to fall between what two values? 40 and 100 50 and 90 55 and 85 60 and 80 65 and 75
A normal distribution has a mean of 60 and a standard deviation of 10. Refer to...

A normal distribution has a mean of 60 and a standard deviation of 10. Refer to the table in Appendix B.1. Determine the value above which 80 percent of the values will occur. (Round z-score computation to 2 decimal places and the final answer to 2 decimal places.) X
Assume that a normal distribution of data has a mean of 20 and a standard deviation...

Assume that a normal distribution of data has a mean of 20 and a standard deviation of 5. Use 68 - 95 - 99.7 rule to find the percentage of values that lie above 15. What is the percentage of values lie above 15?

Consider a symmetric distribution which has two modes, a mean of 68 and standard deviation of...

Consider a symmetric distribution which has two modes, a mean of 68 and standard deviation of 6. Approximately what percentage of data lie between 56 and 80? A)95% B)75% C)5% D)13.5% E)68%
Given a normal distribution with (mean) μ= 50 and (standard deviation) σ = 5, what is...

Given a normal distribution with (mean) μ= 50 and (standard deviation) σ = 5, what is the probability that: a) X>60 b) X<40 c) X<45 or X>65 d) Between what two values (symmetrically distributed around the mean) are ninety percent of the values?
The mean of a normal probability distribution is 500; the standard deviation is 14. a. About...

The mean of a normal probability distribution is 500; the standard deviation is 14. a. About 68% of the observations lie between what two values? Value 1 Value 2 b. About 95% of the observations lie between what two values? value a Value 1 Value 2 c. Practically all of the observations lie between what two values? Value 1 Value 2

Assume the population standard deviation is 45 minutes. Find (a) the point estimate of the population...

Assume the population standard deviation is 45 minutes. Find (a) the point estimate of the population mean μ mu and (b) the margin of error for a 90% confidence interval, and (c) construct a 90% confidence interval for the population mean. Pb Concentration Values (ppm) Pb Concentration Values (ppm) 135 145 95 140 135 95 110 50 90 165 110 125 80 125 130 110 25 7565 100 60 125 115 135 9590 14040 75 50130 85 100 160 135...