given a normal distribution with U=51 and =4. between what two X-values are 70% of the...

given a normal distribution with U=51 and =4. between what two X-values are 70% of the values

Solutions

Expert Solution

Given that it is normally distributed with mean= 51 and standard deviation =4 hence to find the X values within which the 70 % values lie is calculated using Z value at the left of the 70 % area and to the right of the 70% area.

And the Z values at the Lower end of 70% of the value is computed using the Z table shown below as

-1.04 hence The x value is calculated as

similarly, the right end would be

Z= 1.04

hence

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Given a normal distribution with u = 70 and o= 20, what is the probability that...

Given a normal distribution with u = 70 and o= 20, what is the probability that X>110 X<10 X < 70 or x> 130 Between what two x values (symmetrically distributed around the mean) are 70% of the values

Suppose x has a distribution with a mean of 70 and a standard deviation of 51....

Suppose x has a distribution with a mean of 70 and a standard deviation of 51. Random samples of size n = 36 are drawn. (a) Describe the distribution. has a binomial distribution. has an approximately normal distribution. has a geometric distribution. has a normal distribution. has an unknown distribution. has a Poisson distribution. (b) Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) = = What price do farmers get for their watermelon crops?...

Given a normal distribution with mean population of 51 and standard devitation of 8, and given...

Given a normal distribution with mean population of 51 and standard devitation of 8, and given you select a sample of n=100, complete parts (c). c. What is the probability that X(w/ bar above) is above 51.6? (Type an integer or decimal rounded to four decimal places as needed.)

Given a normal distribution with mean population of 51 and standard devitation of 8, and given...

Given a normal distribution with mean population of 51 and standard devitation of 8, and given you select a sample of n=100, complete parts (d). d. There is a 30% chance thatt X(w/bar above) is above what value? (Type an integer or decimal rounded to two decimal places as needed.)

Let X be from a normal distribution with mean u and varince 4. We would like...

Let X be from a normal distribution with mean u and varince 4. We would like to test the null hypothesis H0: u=10 against the alternative hypothesis H1: u>10. Let the rejection region be defined by C={(x1,x2,...,x9): X.bar>=11.5}, where X.bar is the sample mean of a random sample of size 9 from this distribution. (a) what's the significance level of this test? (b) Define the power function for this test. (c) what are the power when u=11, 11.5 and 12?

Given a normal distribution with A MEAN of 50 and standard deviation of 4, what is...

Given a normal distribution with A MEAN of 50 and standard deviation of 4, what is the probability that: a. X > 45? b. X < 43? c. Six percent of the values are less than what X value? d. Between what two X values (symmetrically distributed around the mean) are sixty-five percent of the values?

What are the main differences between normal distribution and standard normal distribution? What are the main...

What are the main differences between normal distribution and standard normal distribution? What are the main characteristics of standard normal distribution and why do we need standard normal distribution?

Use Excel to generate 70 values from Normal distribution with mean 18 and standard deviation 5....

Use Excel to generate 70 values from Normal distribution with mean 18 and standard deviation 5. Construct a histogram for them [Note: first generate 100 uniformly distributed random values from [0,1]; then use them as the first input for NORMINV( ) function, two other inputs are mean and standard deviation of given Normal distribution]

Since a normal distribution is taken into account, what percentage of the distribution values will fall...

Since a normal distribution is taken into account, what percentage of the distribution values will fall in the range of a standard deviation below and above the mean? A -) %68 B -) %50 C -) %99.7 D -) %99.5

Given a normal distribution with (mean) μ= 50 and (standard deviation) σ = 4, what is...

Given a normal distribution with (mean) μ= 50 and (standard deviation) σ = 4, what is the probability that NOTE: I'd like to learn how to do this in the shortest way possible on ti 84 plus calculator. a) x>43 b) x<42 c) x>57.5 d) 42 <x<48 e) x<40 or x>55 f) 5% of the values are less than what X value? g) 60% of the values are between what two X values (symmetrically distributed around the mean)? h) 85%...

Subjects