Question: Professor is told that the grades on a standardized statistics test are normally distributed with a mean of 78 and a standard deviation of 5.

Professor is told that the grades on a standardized statistics test are normally distributed with a mean of 78 and a standard deviation of 5.

If Prof. were to take a random sample of 25 tests and the compute the average,

then what is the probability that the average of these tests is greater than 80.5?

a.none of these

b.0.62%

c.2.5%

d.1.24%

e.49.38%

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

ECMT1010 Online homework 5 Chapter 4, Section 3, Exercise 075 Chapter 4, Section 3, Exercise 075 Match the -values with the appropriate conclusion: (a) The evidence against the null hypothesis is...

Q:

Chapter 4, Section 3, Exercise 075 Match the -values with the appropriate conclusion: (a) The evidence against the null hypothesis is significant, but only at the level. 0.000130.62510.02190.0883 (b)...

Q:

Topic: Hypotheses Testing Question: State the null hypothesis and alternative hypothesis in (a) words and in (b) symbols for each of the following: 1. A librarian of a school claims that all their...

Q:

Help me answer this two questions. Topic: Hypotheses Testing Draw a normal curve for a 95% confidence and show z = 1.5. What decision can you associate with this z - value? Why? Use the Internet to...

Q:

Topic: Hypotheses Testing Please do sketch the graph clearly. Question: Determine whether the test is two-tailed or one-tailed. If it is one-tailed, is it left-tailed or right-tailed? Then, sketch...

Q:

Can u help me with this? I'm so drained. 5 questions only Topic: Hypotheses Testing Please do sketch the graph clearly. (must be handwritten) Question: Determine whether the test is two-tailed or...

Q:

MGCR 271- MCGILL UNIVERSITY: ASSIGNMENT #2- FALL 2017 PROFESSOR: WEI QI Due Date October 23 Monday at the beginning of class. (Print, do not email). No late submissions accepted. Instructions Please...

Q:

Mechanical Engineering Department ME 406 Manufacturing and Design First Semester 2017 (Term-171) HOMEWORK # 2 (Engineering Statistics) Assigned by: Dr. Anwar K. Sheikh/Dr Numan Abu Dheir Assigned on...

Q:

Name: E number: Math 1530 section number Question 1 (2.85 points) Eggs that are contaminated with salmonella can cause food poisoning among consumers. A large egg producer takes an SRS of 200 eggs...

Q:

Topic: Hypotheses Testing see the attached photos in letter e pls make the graph clearly and dont use graph calculators pls. in letter d pls choose current issues in social media I. INTRODUCTORY...

Q:

Sardel Company reported net income of $29,975 for 2007. During all of 2007 the company had 1,000 shares of 10%, $100 par, nonconvertible preferred stock outstanding, on which the years dividends had...

Q:

In terms of the functions of money, is there really any functional difference between M1 and M2?

Q:

Gabrien is a full - time exempt employee at a local electricity co - operative. He earns an annual salary of $ 5 5 , 3 3 0 and is paid biweekly. He contributes 3 % of his earnings to his 4 0 1 ( k )...

Q:

Firm A is going to acquire Firm B in a stock-for-stock exchange. After the merger, the combined firm will be operated with two separate divisions. Firm A's current EPS is $3.50 per share, with 100...

Q:

Why is the direct plan acceptable for notifying job applicants that they were not selected for a position? (Objectives 5 and 6)

Q:

You are the franchised dealer for Starlight satellite TV. Last week you ran a four-room installation special in the local newspaper that offered free installation, one-month free service, and a free...

Q:

Teamwork.Ethics.Working with three classmates with two on each side of the issue, debate the ethics of using the indirect or the direct plan for negative messages. (Objectives 3, 4, 5, and 6)