Question

A personnel director in a particular state claims that the mean annual income is the same in one of the state's counties (County A) as it is in another county (County B). In County A, a random sample of 17 residents has a mean annual income of $42,100 and a standard deviation of $8300.

In County B, a random sample of 14 residents has a mean annual income of

In County B, a random sample of 14 residents has a mean annual income of

$37,900 and a standard deviation of $5700. At α=0.05,

answer parts (a) through (e). Assume the population variances are not equal. Assume the samples are random and independent, and the populations are normally distributed.(a) Identify the claim and state

Upper H 0H0

and
Upper H Subscript aHa.

Which is the correct claim below?

"The mean annual incomes in Counties A and B are not equal."

"The mean annual incomes in Counties A and B are equal."

"The mean annual income in County A is greater than in County B."

"The mean annual income in County A is less than in County B."

What are Upper H 0H0

and Upper H Subscript aHa?

and Upper H Subscript aHa?

The null hypothesis,
The alternative hypothesis,

Upper H 0H0,

is
mu 1 equals mu 2 .μ1=μ2.

Upper H Subscript aHa,

is
mu 1 not equals mu 2 .μ1≠μ2.

Which hypothesis is the claim?

The alternative hypothesis, Upper H Subscript aHa

The null hypothesis, Upper H 0H0

(b) Find the critical value(s) and identify the rejection region(s).

Enter the critical value(s) below.

Step 1

**According to the given question, in order to test that the annual income is the same in one** of the state's counties (County A) as it is in another county (County B).

In County A, a random sample of 17 residents has a mean annual income of $42,100 and a standard deviation of $8300.

In County B, a random sample of 14 residents has a mean annual income of

$37,900 and a standard deviation of $5700.

Where we represent the entire data as:

Step 2

We define the test hypothesis and the test statistics are as followsw;

Step 3

Where we can determine the d...

Tagged in

Q: Listed below are the number of cricket chirps in 1 min and the corresponding temperatures in degrees...

A: In this question we have given the data about no. of chirps in 1 min and the corresponding temperatu...

Q: Compute the sample correlation coefficient r for each of the following data sets and show that r is ...

A: We know the sample correlation coefficient r between x and y variable as:

Q: Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted an...

A: Hey, since there are multiple subpart questions posted, we will answer first three subparts. If you ...

Q: In a fishing logde brochure, the lodge advertises that 75% of its guest catch northern pike over 20 ...

A: The provided information are:

Q: Previously, you studied linear combinations of independent random variables. What happens if the var...

A: Hey, since there are multiple subpart questions posted, we will answer first three subparts. If you ...

Q: A genetic experiment involving peas yielded one sample of offspring consisting of 430 green peas and...

A: State the appropriate hypothesis:Let p be the population proportion of yellow offspring peas.The giv...

Q: Is the national crime rate really going down? Some sociologists say yes! They say that the reason fo...

A: 1) Computation of test statistic:Here, the appropriate test to check whether the population proporti...

Q: In general, we want to see if elderly primes will lead people to feel elderly feelings and see an ol...

A: The independent variable is that which is changed by the experimenter to test the outcome of the dep...

Q: Number 15 A B C D

A: Note:Thank you for the question. However, your question has more than 3 parts. We are solving first ...

Sorry about that. What wasn’t helpful?