menu
bartleby
search
close search
Hit Return to see all results

Dalton is a public school teacher in Burlington. After a conversation with a colleague in Sudbury, Dalton realizes that hissalary is much lower than his colleague's, even though they have similar backgrounds and work experiences. Daltontheorizes that the population mean annual salary for a public school teacher in Burlington is less than the population meanannual salary for a public school teacher in Sudbury. He conducts research on the inquiry and assumes that the populationstandard deviation is $2,409 for Burlington and $3,192 for Sudbury. Dalton randomly selects the salaries of public schoolteachers in Burlington and in Sudbury. The results of Dalton's findings are shown in the table below. Assuming theconditions needed for the hypothesis test have been met, what is the z test statistic for this hypothesis test, rounded to twodecimal places?BurlingtonSudbury2$56,561n2 33$54,906ni36Provide your answer below:Z-

Question
Dalton is a public school teacher in Burlington. After a conversation with a colleague in Sudbury, Dalton realizes that his
salary is much lower than his colleague's, even though they have similar backgrounds and work experiences. Dalton
theorizes that the population mean annual salary for a public school teacher in Burlington is less than the population mean
annual salary for a public school teacher in Sudbury. He conducts research on the inquiry and assumes that the population
standard deviation is $2,409 for Burlington and $3,192 for Sudbury. Dalton randomly selects the salaries of public school
teachers in Burlington and in Sudbury. The results of Dalton's findings are shown in the table below. Assuming the
conditions needed for the hypothesis test have been met, what is the z test statistic for this hypothesis test, rounded to two
decimal places?
Burlington
Sudbury
2$56,561
n2 33
$54,906
ni36
Provide your answer below:
Z-
help_outline

Image Transcriptionclose

Dalton is a public school teacher in Burlington. After a conversation with a colleague in Sudbury, Dalton realizes that his salary is much lower than his colleague's, even though they have similar backgrounds and work experiences. Dalton theorizes that the population mean annual salary for a public school teacher in Burlington is less than the population mean annual salary for a public school teacher in Sudbury. He conducts research on the inquiry and assumes that the population standard deviation is $2,409 for Burlington and $3,192 for Sudbury. Dalton randomly selects the salaries of public school teachers in Burlington and in Sudbury. The results of Dalton's findings are shown in the table below. Assuming the conditions needed for the hypothesis test have been met, what is the z test statistic for this hypothesis test, rounded to two decimal places? Burlington Sudbury 2$56,561 n2 33 $54,906 ni36 Provide your answer below: Z-

fullscreen
check_circleAnswer
Step 1

Explanation:

Denote µ1 = true population mean for Burlington teachers’ salary and µ2 = true population mean for Sudbury teachers’ salary.

The test hypotheses are:

Null hypothesis:

H0: µ1 – µ2 = 0, that is, there is no difference between the teachers’ mean salaries, between Burlington and Sudbury.

Alternative hypothesis:

Ha: µ1 – µ2 < 0, that is, the mean salary of te...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: There are several possible explanations for the existence of a statistical relationship between two ...

A: The existence of a statistical relationship between two variables can be due to several factors that...

question_answer

Q: Use software or a calculator to find the​ range, variance, and standard deviation of the following b...

A: As data of temperature is not provided here. Here i can show you how to find the range, standard dev...

question_answer

Q: Suppose that Xi ∼ Gamma(αi , β) independently for i = 1, . . . , N. The mgf(moment generating functi...

A: It is provided that and the moment generating function (MGF) is,

question_answer

Q: For T-tests on related measures, my number of subjects is odd. How do I calculate the differential i...

A: In such cases, you can turn to  Repeated measures ANOVA which can detect differences in mean scores ...

question_answer

Q: A used car dealer claims that the median cost of a used car is $12,000. In a random sample of 15 use...

A: Given median cost of a used car = $12000Total number of used cars in sample = n = 15Total number of ...

question_answer

Q: NUMBER 22

A: Normal approximation to the binomial:From the given information, it is clear that sample size, n = 5...

question_answer

Q: Select the statistic test that best fits each description. Study examining how much of the variation...

A: Regression:Regression analysis explains whether two variables are related or not and correlation exp...

question_answer

Q: Using the table below, determine the critical value or values for a hypothesis test for a proportion...

A: It is provided that the test is right tailed and the significance level is 1%.So, the critical value...

question_answer

Q: How do you calculate a coefficient of correlation of two indexes’ returns?

A: Let the two indexes’ returns be A and B.The coefficient of correlation measures the degree to which ...

Sorry about that. What wasn’t helpful?