Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

Hypothesis testing for difference between two population means.

1. A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to researcher was the effect of gender on starting salaries. Analysis of the mean salaries of the females and males in the sample is given below.

Hypothesized Difference

0

Level of Significance

0.05

Population 1 Sample


Sample Size

18

Sample Mean

48266.7

Sample Standard Deviation

13577.63

Population 2 Sample


Sample Size

12

Sample Mean

55000

Sample Standard Deviation

11741.29

Difference in Sample Means

-6733.3

t-Test Statistic

-1.40193

Lower-Tail Test 


Lower Critical Value

-1.70113

p-Value

0.085962

 
The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than male MBA graduates.  According to the test run, which of the following is an suitable alternative hypothesis?
b. The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. From the analysis in Table 10-2, the right test statistic is:

1. 0.0860
2.- 1.4019
3.- 1.7011
4.- 6,733.33

2. A real estate company is interested in testing whether, on average, families in Gotham have been living in their current homes for less time than families in Metropolis have. Assume that the two population variances are equal.  A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M922813

Have any Question? 


Related Questions in Statistics and Probability

Consider again the joint cdf given in exercisea for

Consider again the joint CDF given in Exercise: (a) For constants and a, such that  b, and  , find  (b) For constants c and d, such that   find  (c) Find   Are the events   statistically independent? Exercise A colleague ...

Regression analysis assignmentuse your data and excel

Regression Analysis Assignment Use your data and excel spreadsheet program to perform a multiple regression analysis for your variables. The analysis should include the following: 1. Provide a brief background of the sit ...

Scenario analysis computer chipsnbsp- use analysis

Scenario Analysis: Computer Chips - use analysis guidelines in helping (let me know if more information is needed, but this is all we are given) A manufacturer of computer chips has a computer hardware company as its lar ...

Letnbspnbspnbspbe a sequence of iid cauchy random variables

Let    be a sequence of IID Cauchy random variables with (a) Show that s n  also follows a Cauchy distribution. (b) Prove that in this case, the sample mean does not converge in probability and therefore the weak law of ...

A gaussian mixture is a random variable whose pdf is a

A Gaussian mixture is a random variable whose PDF is a linear combination of two Gaussian PDFs, (a) Find the moment-generating function, MX(u) , of the Gaussian mixture. (b) Use the moment-generating function to find the ...

The following data shows the amount of money spent by 10

The following data shows the amount of money spent by 10 customers who visited a market in a certain year and their social classes' index. Amount(1000)   57 54 49 42 58 32 30 24 20 18 social class index 113 111 107 103 1 ...

Letnbsp x ynbsp z and be independent gaussian random

Let  X, Y,  Z and be independent Gaussian random variables with equal means of µ =3 and variances    Estimate the mean and variance of   constructing a large number of realizations of this random variable in MATLAB and t ...

I deal myself 3 cards from a standard 52-card deck find the

I deal myself 3 cards from a standard 52-card deck. Find the probabilities of each of the following events: (a) 2 of a kind (e.g., 2 fives or 2 kings); (b) 3 of a kind; (c) 3 of the same suit (a.k.a a flush, e.g., 3 hear ...

Suppose that a certain college class contains 58 students

Suppose that a certain college class contains 58 students. Of these,34 are sophomores, 32 are chemistry majors, and8 are neither. A student is selected at random from the class. (a) What is the  probability  that the stu ...

In a certain lottery six numbers are randomly chosen from

In a certain lottery, six numbers are randomly chosen from the set   (without replacement). To win the lottery, a player must guess correctly all six numbers but it is not necessary to specify in which order the numbers ...

  • 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

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate