With normal distribution given a number of cases, for this example let us use 100 cases....

With normal distribution given a number of cases, for this example let us use 100 cases. How do you find how many fall in between Z scores. What are the steps? For this example let's say Z scores -1.5 to +1.5 . I am interested in steps and explanation that can be applied to many other similar problems.

Solutions

Expert Solution

Solution: We have to first find the probability of the z-scores between -1.5 and 1.5.

Using the standard normal table, we have:

Now using the standard normal table, we have:

Now to find the number of cases that fall in between the z-score -1.5 and +1.5, we have:

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Use the normal distribution and the given sample results to complete the test of the given...

Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level. Test H0 : p=0.2 vs Ha : p≠0.2 using the sample results p^=0.26 with n=1002 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places. test statistic = Enter your answer; test statistic p-value = Enter your answer;...

Use the normal distribution and the given sample results to complete the test of the given...

Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5 % significance level: a) Test H 0 : p = 0.5 vs H a : p > 0.5 using the sample results p ^ = 0.60 with n = 50 b) Test H0 : p=0.3 vs Ha : p<0.3 using the sample results p^=0.20 with n=198 c) Test H0 : p=0.75...

Use the normal distribution and the given sample results to complete the test of the given...

Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5 % significance level. Test Upper H Subscript 0 Baseline : p equals 0.5 vs Upper H Subscript a Baseline : p greater-than 0.5 using the sample results p Overscript ^ EndScripts equals 0.56 with n equals 39 Round your answer for the test statistic to two decimal places, and your answer...

In a given university, number of credits completed by a BS graduate is a normal distribution....

In a given university, number of credits completed by a BS graduate is a normal distribution. The average credits was 129.4, with a standard deviation of 5.2. What is the chance that a randomly selected BS degree graduate completed over 135 credits? What proportion of graduates will finish between 125 and 135 credits? Among graduates, what is the lowest number of credits which is among top 2% of students with earned credits? Kelly is graduating this semester, a student once...

Given a normal distribution with 100 and 5-10, complete parts (a) through (d)

Given a normal distribution with 100 and 5-10, complete parts (a) through (d). a. What is the probability that X > 95? The probability that X> 95 is _______ b. What is the probability that X< 85? The probability that X < 85 is _______ c. What is the probability that X < 75 or X> 115? The probability that X < 75 or X> 115 is _______ d. 90% of the values are between what two X-values (symmetrically distributed around the mean)? 90%...

a) Use the normal distribution to find a confidence interval for a proportion p given the...

a) Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 90% confidence interval for p given that p^=0.39 and n=450. Round your answer for the best point estimate to two decimal places, and your answers for the margin of error and the confidence interval to three decimal...

Use the normal distribution to find a confidence interval for a difference in proportions given the...

Use the normal distribution to find a confidence interval for a difference in proportions given the relevant sample results. Assume the results come from random samples. A 95% confidence interval for given that with and with Give the best estimate for , the margin of error, and the confidence interval. Round your answer for the best estimate to two decimal places and round your answers for the margin of error and the confidence interval to three decimal places. Best estimate...

Name three properties of a normal distribution. Give an original example of a normal distribution in...

Name three properties of a normal distribution. Give an original example of a normal distribution in "real life". Plesae type instead of writing

Find an example of application of Normal Distribution (or approximately Normal Distribution) in your workplace or...

Find an example of application of Normal Distribution (or approximately Normal Distribution) in your workplace or business or any example of Normal Distribution. Prove that the variable has the characteristics of a Normal Distribution. Recall that the variable must be continuous and the distribution must be symmetrical (or approximately symmetrical). To prove that the distribution is approximately symmetrical select 20 random observations (measurements/data) of the variable and run a Descriptive Statistics using your calculator or Excel. Just copy the output...

Normal Distribution Create an example of each of the three types of normal distribution problems. The...

Normal Distribution Create an example of each of the three types of normal distribution problems. The project will be graded on: (3 points each) Each example of one of the problem types. (1 point) Clear writing style and examples

Subjects