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

Exercises -81- for each of the following pairs explain why

Exercises - 8.1- For each of the following pairs, explain why you believe that they are positively related, negatively related, or essentially unrelated. If they are related, identify the dependent variable. a. The cost ...

The two-person game shown in table 1 has a unique nash

The two-person game shown in Table 1 has a unique Nash equilibrium (see Moulin and Vial, 1978) in which each player's expected payoff is 3.

Please read below i need help right away i have posed this

Please read below. I need help right away. I have posed this problem in three different ways an the only consistant answer I get is instructing me to go pay money to another site. PLEASE HELP! Inferential Research and St ...

A researcher was interested in the effects of weather on

A researcher was interested in the effects of weather on cognitive performance. He tested participants on either sunny or cloudy days, and obtained the following scores on a 10-item test of cognitive performance. Using t ...

Of the people who fished at clearwater park today 63 had a

Of the people who fished at Clearwater Park today, 63 had a fishing license, and 27 did not. Of the people who fished at Mountain View Park today, 60 had a license, and 40 did not. (No one fished at both parks.) Suppose ...

1 the total variance in a set of scores can be partitioned

1. The total variance in a set of scores can be partitioned into two components. What are they, and how do they differ? 2. What are some factors that contribute to error variance in a set of data? 3. Generally, do resear ...

1 prove that every complete irreflexive and transitive

1. Prove that every complete, irreflexive, and transitive relation is asymmetric: if x ≠ y, then x > y if and only if y x. 2. Prove that the Gale-Shapley algorithm for finding a stable matching satisfies the following pr ...

The course text notes that tensions and differences in the

The course text notes that tensions and differences in the 1770s led to the American Revolution that eventually produced independence for the United States from Great Britain. When the War for American Independence broke ...

Lucerne earns a gross income of 5500 per month and applies

Lucerne earns a gross income of $5,500 per month and applies for a mortgage with a monthly PITI of $1,244. Lucerne has other financial obligations totaling $829 per month. (Use the ratio guidelines from your text) What t ...

In your own wordsquestion 1 critique and expand upon the

In your own words! Question 1: Critique and expand upon the statement: Every college graduate should understand the basic principles of the Operations function of a business. Question 2: Identify three current trends in ...

  • 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