The Employment and Training Administration reported that the U.S. mean unemployment insurance benefit was $238 per week (The World Almanac, 2003). A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was below the national average.

For a sample of 100 individuals, the sample mean weekly unemployment insurance benefit was$231 with a sample standard deviation of $80. What is the p-value?

At $\alpha=.05$, what is your conclusion?

Are nursing salaries in Tampa, Florida, lower than those in Dallas, Texas? As reported by the Tampa Tribune, salary data show staff nurses in Tampa earn less than staff nurses in Dallas. Suppose that in a follow-up study of 40 staff nurses in Tampa and 50 staff nurses in Dallas you obtain the following results.

$$\begin{array}{ll} {\text { Tampa }} & {\text { Dallas }} \\ n_1=40 & n_2=50 \\ \bar{x}_1=\$ 56,100 & \bar{x}_2=\$ 59,400 \\ s_1=\$ 6000 & s_2=\$ 7000 \end{array}$$

b. What is the value of the test statistic?

The rate of reaction r to a given dose of a drug at time t hours after administration is given by $r(t)=t e^{-t^{2}}$ (measured in appropriate units). (a) Why is it reasonable to define the total reaction as the area under the graph of y=r(t) on $[0, \infty)$? (b) Find the total reaction to the given dose of the drug.

The national mean annual salary for a school administrator is $\$ 90,000$ a year. A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.

d. Repeat the preceding hypothesis test using the critical value approach.

Explain what is meant by a title search. Why is it important? Explain how homeowners as well as mortgage lenders are protected by title insurance.

A learning management system is part of which of the following HRIS components?

a) Employment equity;

b) Performance evaluation;

c) Organizational management;

d) Training and development;

e) Employee administration

The Employment and Training Administration reported the U.S. mean unemployment insurance benefit of $238 per week (The World Almanac, 2003). A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was below the national level.$

$$a. Develop appropriate hypotheses such that rejection of H0 will support the researcher’s contention.$$

$b. For a sample of 100 individuals, the sample mean weekly unemployment insurance benefit was 231 dollar with a sample standard deviation of 80 dollar. What is the$p$-value?$
$c. At$\alpha= .05$, what is your conclusion?$
$ d. Repeat the preceding hypothesis test using the critical value approach

Individuals filing federal income tax returns prior to March 31 received an average refund of $\$1056$. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).

a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of $\ H_0$ will support the researcher’s contention.

b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $\$910$. Based on prior experience a population standard deviation of $\sigma$ =$\$1600$ may be assumed. What is the p-value?

c. At $\alpha$ = .05, what is your conclusion?

d. Repeat the preceding hypothesis test using the critical value approach.

Consider the following hypothesis test:

$$\begin{array} { l } { H _ { 0 } : \mu = 100 } \\ { H _ { \mathrm { a } } : \mu \neq 100 } \end{array}$$

A sample of 65 is used. Identify the $p$ -value and state your conclusion for each of the fol- lowing sample results. Use $\alpha = .05$ .

$\overline { x } = 103$ and $s = 11.5$

Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).

For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was$910. Based on prior experience a population standard deviation of $\sigma = 1600$ may be assumed. What is the p-value?

Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).

At$\alpha = .05$, what is your conclusion?

Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).

A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher’s contention.

CCN and ActMedia provided a television channel targeted to individuals waiting in supermarket checkout lines. The channel showed news, short features, and advertisements. The length of the program was based on the assumption that the population mean time a shopper stands in a supermarket checkout line is 8 minutes. A sample of actual waiting times will be used to test this assumption and determine whether actual mean waiting time differs from this standard.

Formulate the hypotheses for this application.