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

Islam and the other monotheistic religions write an essay

Islam and the other monotheistic religions: Write an essay discussing the relationship between Islam, Judaism and Christianity. What does the Qur'an say about the "Peoples of the Book," and how they are to be treated? Wh ...

A social welfare function f is called monotonic if for

A social welfare function F is called monotonic if for every alternative a ∈ A, and every pair of strict preference profiles P N and QN satisfying a>p 1 c ⇒ a>Q 1 c, ∀c≠a, ∀i ∈ N, the following is also satisfied: a>F(P)c ...

Question to qualify for security officers training recruits

Question: To qualify for security officers training, recruits are tested for stress tolerance. The scores are normally distributed with a mean of 62 and a standard deviation of 8. If only the top 15% of recruits are sele ...

Consider a decision-maker whose subjective probability

Consider a decision-maker whose subjective probability distribution over the set of possible states Ω is p = (p(s)) We ask him to tell us his subjective probability distribution, but he can lie and report any distributio ...

Paper should be between 800 and 1000 words in length it is

Paper should be between 800 and 1,000 words in length. It is due according to the due date on the course calendar. 1. Drawing on the readings and lectures, name at least three developments or factors that encouraged the ...

What was the hellenistic age and how did it come to be what

What was the Hellenistic age and how did it come to be? What are some special characteristics of Hellenistic cities, art, culture, thought, and achievements? What were some of the major contributions of the Hellenistic a ...

Suppose that fara is preferred by every man to all the

Suppose that Fara is preferred by every man to all the other women. Prove that under every stable matching Fara is matched to the same man. Who is the lucky guy?

Questions1 the following results were observed in a

QUESTIONS: 1. The following results were observed in a prospective study of the drug Viagra (based on data from Pfizer Inc.)  Use the data to answer the following questions:   Viagra Treatment Placebo Headache 117 29 No ...

Suppose that a certain college class contains 49 students

Suppose that a certain college class contains 49 students. Of these, 24 are seniors, 26 are English majors, and 9 are neither. A student is selected at random from the class. (a) What is the  probability  that the studen ...

A commuter airline flies airplanes that seat 14 passengers

A commuter airline flies airplanes that seat 14 passengers. From experience, they have learned that, on average, 85% of the passengers holding reservations for a particular flight actually show up for the flight. If they ...

  • 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