Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. suppose x has a distribution with a mean of 70 and

Suppose x has a distribution with a mean of 70 and a standard deviation of 15....

70.2K

Verified Solution

Question

Statistics

Suppose x has a distribution with a mean of 70 and astandard deviation of 15. Random samples of size

n = 36

are drawn.

(a) Describe the

x distribution

and compute the mean and standard deviation of thedistribution.

x

has  ---Select--- a binomial an unknown a geometric anapproximately normal a normal a Poisson distribution with

mean ?x =

and

standard deviation ?x=  .


(b) Find the z value corresponding to

x = 75.

z =



(c) Find

P(x < 75).

(Round your answer to four decimal places.)

P(x < 75) =



(d) Would it be unusual for a random sample of size 36 from thex distribution to have a sample mean less than 75?Explain.

Yes, it would be unusual because less than 5% of all suchsamples have means less than 75.No, it would not be unusual becausemore than 5% of all such samples have means less than75.    No, it would not be unusual because lessthan 5% of all such samples have means less than 75.Yes, it wouldbe unusual because more than 5% of all such samples have means lessthan 75.

Answer & Explanation Solved by verified expert
4.3 Ratings (785 Votes)
Solution Given that mean 70standard deviation 15n 36a Approximately    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

In a population of wild geese there were 17 births and 62 deaths in the...

Biology
1.2K views

5 What did Rosa Bonheur often depict in her paintings O A Animals in natural...

Statistics
1.2K views

There are a total of 19 660 IRSC students 71 of which are under the...

Calculus
1.2K views

Exercise 4 Consider a monotonically strictly increasing function i e a function f x whose...

Algebra
1.2K views

Question If the exponential model f x Provide your answer below 14 5 is written...

Accounting
1.2K views

Manufacturing overhead data for the production of Product H by Shakira Company, assuming the company...

Accounting
1.2K views

Q 17 and Q 18 24. It is important to validate your XML against...

Accounting
1.2K views

Fanning Auto Repair, Inc. is evaluating a project to purchase equipment that will not only...

Accounting
1.2K views

please I dont know the aswers and need help, seriously suck.. Question 3 Moving...

Accounting
1.2K views

Which of the following is true regarding equity? Multiple Choice It represents the owner's return...

Finance
1.2K views

Shell is experiencing rapid growth. Earnings and dividends are expected to grow at a rate...

Accounting
1.2K views

I need help with this question ASAP please? What are the...