Ask Question, Ask an Expert


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:












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

Suppose we randomly sample 400 nucleotides from the human

Suppose we randomly sample 400 nucleotides from the human genome. (Consider only a single strand.) Does the occurrence of adenine, thiamine, cytosine and guanine (A, C, T and G) in this sample suggest that nucleotides in ...

Discuss the changes to european imperialism between the

Discuss the changes to European imperialism between the World Wars.

1 in a pulse rate research a simple random sample of 120

1. In a pulse rate research, a simple random sample of 120 men results in a mean of 80 beats per minute, and a standard deviation of 11 beats per minute. Based on the sample results, the researcher concludes that the pul ...

1 what is a factorial design why are factorial designs used

1. What is a factorial design? Why are factorial designs used more frequently than one-way designs? 2. How many independent variables are involved in a 3 x 3 factorial design? How many levels are there of each variable? ...

Exposure to medicine x during pregnancy was investigated

Exposure to medicine 'x' during pregnancy was investigated for 108 mothers of children with congenital defects and 108 mothers of normal controls. The researchers examined exposure to medicine 'x' during the first trimes ...

Q1 a total 225 people were asked to report their hourly

Q1. A total 225 people were asked to report their hourly wages. The mean of the sample was 28 and it is known that the population standard deviation is 12 a) Find the 95% confidence interval for the mean. b) Find the 90% ...

A smartphone company has to decide which battery they will

A smartphone company has to decide which battery they will use for their upcoming model. Two battery manufacturers A and B are competing to get the contract. 15 smartphones of the upcoming model were tested with batterie ...

Describe secretary of state john quincy adamss address to

Describe Secretary of State John Quincy Adams's Address to Congress, July 4, 1821. As a statement of American Foreign Policy, what does it assert? Do you think it accurately reflects American Foreign Policy up to that ti ...

Problem 1 part i hypothesis testingconduct a one-tailed

Problem 1: PART I. HYPOTHESIS TESTING Conduct a one-tailed hypothesis test given the information below. A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shel ...

During a certain week the mean price of gas was 2709 per

During a certain week the mean price of gas was $2.709 per gallon. A random sample of 35 gas stations is drawn from this population. What is the probability that the mean price for the sample was $2.697 and $2.716 that w ...

  • 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