For a normal distribution, a Find the z score for which a total probability of 0 02 falls more than z standard deviations (in either direction) from the mean, that is, below z or above z b For this z, explain why the probability more than z standard deviations above the mean equals 0 01 c Explain why 2 33 is the 99th percentile

Question: For a normal distribution, a. Find the z -score for which a total probability of 0.02 falls more than z standard deviations (in either direction)

For a normal distribution,
a. Find the z -score for which a total probability of 0.02 falls more than z standard deviations (in either direction) from the mean, that is, below μ - zσ or above μ + zσ.
b. For this z, explain why the probability more than z standard deviations above the mean equals 0.01.
c. Explain why μ + 2.33σ is the 99th percentile.

Step by Step Solution

★★★★★

3.52 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a First we calculate the cumulative probability for the total probability of 002 in ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

531-M-S-P (3469).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Find the z -score such that the interval within z standard deviations of the mean (between - z and + z) for a normal distribution contains a. 50% of the probability. b. 90% of the probability. c....

Find the z -score such that the interval within z standard deviations of the mean contains probability (a) 0.95 (b) 0.99 for a normal distribution. Sketch the two cases on a single graph.

Find the z-score boundaries that separate a normal distribution as described in each of the following. a. The middle 30% from the 70% in the tails. b. The middle 40% from the 60% in the tails. c. The...

3. A youth sports team is trying to determine how many small, medium, and large size jerseys to buy for its players. Small jerseys fit children up to 50 pounds. Medium jerseys fit children 50-70...

CHAPTER 9 Hypothesis Tests CONTENTS 9.4 POPULATION MEAN: UNKNOWN One-Tailed Test Two-Tailed Test Summary and Practical Advice 9.5 POPULATION PROPORTION Summary 9.6 HYPOTHESIS TESTING AND DECISION...

I need the best response for this discussion can you help? feedback of any kind Disccusion 1 When comparing data from different distributions, what is the benefit of transforming data from these...

hi, can you help me to answer them? Solve the problem. 1) For the study described below, identify the sample. A bank manager wants to know the average amount of time customers of his bank have to...

Please answer questions 11-20 in an excel spreadsheet. If the answer does not match one of the options, then the answer is wrong. If the answer is wrong, explain why it is wrong. Please disregard the...

CoursHeroTranscribedText: OBJECTIVE: CONCEPTS 1. What requirements are necessary for a normal probability distribution to be a standard normal distribution? STUDY PLAN: 5.1.2, 5.1.3, 5.1.7 OBJECTIVE:...

OBJECTIVE: CONCEPTS 1. What requirements are necessary for a normal probability distribution to be a standard normal distribution? STUDY PLAN: 5.1.2, 5.1.3, 5.1.7 OBJECTIVE: COMPUTE AND INTERPRET...

three important element of asset valuation

Perez and Ford, CPAs, offer three types of services to clients: auditing, tax, and small business accounting. Based on experience and projected growth, the following billable hours have been...

Labor productivity and long-term economic growth increase if (A) a nation subsidizes education for all citizens. (B) a nation imposes tariffs and quotas on imported goods. (C) a nation removes...

If an organization that behaved differently in the past decides to truly put employees first, how do you think such a change can be brought about? What would be the steps that are necessary to go...

6.84 More best of five Refer to the previous exercise which asked for the distribution of the number of games played in a best of 5 series when team A wins with probability 50%. a. Find the expected...

6.82 Which distribution for sales? A salesperson uses random digit dialing to call people and try to interest them in applying for a charge card for a large department store chain. From past...

Survival A cohort life table is used to represent the overall mortality rate of the entire lifetime of a certain population. Assume the number of people who survived until the age of 1 in a certain...

Using a business organization of your choice, explain three external forces other than the natural environment (climate, weather) that affect it.

A 9% semiannual coupon bond matures in 5 years. The bond has a face value of $1,000 and a current yield of 8.9361%. What is the bond's price? Do not round intermediate calculations. Round your answer...

Ideal for when implementing a new small feature to save the status of the code.