Math

StatisticsQ&A LibraryA 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 $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? A. "The mean annual incomes in Counties A and B are not equal." B. "The mean annual incomes in Counties A and B are equal." This is the correct answer. C. "The mean annual income in County A is greater than in County B." D. "The mean annual income in County A is less than in County B." What are Upper H 0H0and Upper H Subscript aHa? The null hypothesis, Upper H 0H0, is mu 1 equals mu 2 .μ1=μ2. The alternative hypothesis, 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 Your answer is correct. (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below.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.

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