Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

One Sample t test and One Sample Test for Variance.

At the beginning of the course of Statistical Methods I, the instructor recommended that students devote 3 hours per week for the duration of the 13-week semester, for a total of 39 hours. It is known that the times spent on studying statistics follow a normal distribution.  Throughout the course's duration, students were claiming that they were following the instructor's recommendation.  At the course's completion, a random sample of 10 students enrolled in the course was drawn where each student was asked how many hours he or she spent doing homework in statistics.  The data are listed below:

 

45

38

37

40

44

38

46

37

42

43

a. work out the sample mean and sample standard deviation.  

b. Formulate a suitable null and alternative hypothesis to test the students' claim that they followed their instructor's recommendation at a 5 level of significance and interpret your findings.  

c. Estimate and interpret the p-value of the find outd test statistic in (a) above.  

d. If the same sample results had been obtained from a random sample of 16 students, could the students' claim be accepted at a lower level of significance than in part (c)? 

e. whilst dealing with 16 students, suppose that the alternative hypothesis has been one-sided and that it was set as Ha: m < 39.  Make a graph to visualize the problem and state, without doing the calculations, whether the p-value of the test (the level of significance needed to reject the null hypothesis) would be higher than, lower than, or the same as found in (d).

f. Using the original data, test at the 5 percent significance level that the population standard deviation of studying times is greater than 4 hours.

g. Using original data, estimate the population standard deviation with 90% probability.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M921017

Have any Question? 


Related Questions in Statistics and Probability

The setup is again as in exercise 931 but this time peter

The setup is again as in Exercise 9.31, but this time Peter chooses the integer k randomly according to a geometric distribution with parameter 1/2, that is, P(k = n) = 1/2n for each n ∈ N. How does this affect your answ ...

1 the independent variable was whether the applicant

1. The independent variable was whether the applicant appeared to have a disability. 2. The dependent variables were participants' ratings of the applicant (such as ratings of how qualified the applicant was, how much th ...

A study found that consumers spend an average of 24 per

A study found that consumers spend an average of $24 per week in cash without being aware of where it goes. Assume that the amount of cash spent without being aware of where it goes is normally distributed and that the s ...

1 if the calculated value of t is less than the critical

1. If the calculated value of t is less than the critical value, do you reject or fail to reject the null hypothesis? Explain. 2. If you reject the null hypothesis (and conclude that the independent variable has an effec ...

A sample size of 50 is selected from a normal distribution

A sample size of 50 is selected from a normal distribution having a mean of 95 and a standard deviation equal to 15. What is the probability of selecting a sample having a mean exceeding 100?

1 travelers are asked how many hours they are willing to

1. Travelers are asked how many hours they are willing to drive while on vacation in one day. A total of 86 travelers reported a mean of 11.55 hours with a standard deviation of 1.2 hours. Find the 99% confidence interva ...

The following electoral method is used to choose the mayor

The following electoral method is used to choose the mayor of Whoville: Every resident ranks the candidates from most preferred to least preferred, and places this ranked list in a ballot box. Each candidate receives a n ...

An airline estimates that 92 of people booked on their

An airline estimates that 92% of people booked on their flights actually show up. If the airline books 76 people on a flight, find the propability that exactly 73 people will show up. for which the maximum number is 74, ...

Twenty years ago 40 children were born in the same hospital

Twenty years ago 40 children were born in the same hospital in Denmark. Researchers classified the children by whether or not they were breast-fed for at least 3 months. They were interested in whether breast-feeding ten ...

1 what is the central difficulty involved in obtaining

1. What is the central difficulty involved in obtaining simple random samples from large populations? 2. How does cluster sampling solve the practical problems involved in simple random sampling?

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro