1) What are the critical z-values for a two-tailed hypothesistest if the significant level = 0.01?
2) In classical hypothesis testing, the test statistic is to thecritical value what the __________.
3) For a hypothesis test of a single population mean at 95%confidence level, a calculated Z score of 1.7 supports theconclusion that
4) If the paired differences are normal in a test of meandifferences, then the distribution used for testing isthe
5) One hundred women were polled and 60 reported successfullycommunicating an automobile problem to an auto repairman. A sampleof 150 men had 95 reporting the same success. The value of the teststatistic for a test of the equality of proportions is
6) Weekly sales of iPods® at 20 Best Buy® stores are comparedbefore and after installing a new eye-catching display. Todetermine if the display is effective in increasing sales, whattype of statistical test would you perform?
7) When is it appropriate to use the paired difference t-test?
8) A survey of hotels found that the average hotel room rate in NewOrleans is $88.42 and the average room rate in Phoenix is $80.61.The survey sampled 50 hotels in each city. The standard deviationswere $5.62 and $4.83, respectively. At alpha=.05, it can beconcluded that there is a significant different in the rates?
9) If the paired differences are normal in a test of meandifferences, the distribution used for testing is the
10) The accountant for Thomas’s Furniture Store is concernedregarding the outstanding receivable owed the company. There hasbeen a cash flow problem and it is believed that the slowcollection of accounts receivable is partially the blame. Theaccountant believes that 40% of the present accounts are more than4 months behind in making payments. To be able to make a decisionregarding this belief, a random sample of 100 accounts was taken.It was found that 37 accounts were more than 4 months late. Did thesample data confirm the accountant’s belief? Use the .05significant level for the statistical test.
11) New college business graduates are finding it difficult to geta job. A business journal has reported that only one in fivegraduates is able to find a job within 6 months of theirgraduation. A report by University of Phoenix indicated that out ofa survey of 300 recent business graduates, 75 had jobs. You are abusiness major at University of Phoenix and have a concern aboutgetting a job. Based on this data, will a graduate of University ofPhoenix have a better chance of getting a job in the first 6 monthsafter graduation? Use the .05 significant level for the test.
12) Analysis of variance (ANOVA) is used to
13) Mr. Thomas owns three different restaurants in Cincinnati,Ohio. He is concerned about the profitability of the restaurants.There are monthly differences between the restaurants and he wantsto determine if the differences in profit are significant. Mr.Thomas wants to do a statistical test to see if he should beconcerned. The best test to address this problem would be
14) Sound engineers studied factors that might affect the output,in decibels, of a rock concert’s speaker system. The desired levelof significance was a = .05. The results of their ANOVA tests areshown:
Source of Variation SS df MS F P-value
Amplifier 99.02344 99.02344 0.005718
Position 93.98698 31.32899 3.215807 0.051003
Interaction 10.15365 3 3.384549 0.347412 0.791505
Error 155.875 16 9.742188
Total 359.0391 23
The interaction between the Position and Amplifier treatmentswas
15) Totto, an automobile manufacturer, has designed a radically newengine and wants to recommend the grade of gasoline that will havethe best fuel economy. The four grades are regular, below regular,premium, and super premium. The test car made three trial runs onthe test track using each of the grades and the miles per gallonwere recorded. At the 0.05 level, what is the critical value of Fused to test the hypothesis that the miles per gallon for each fuelare the same?
16) If an ANOVA test is conducted and the null hypothesis isrejected, what does this indicate?
17) Nonparametric statistics are used when
18) The nonparametric test most commonly used for testing thestatistical independence between two variables is
19) What nonparametric test is used when the assumptions for theparametric ANOVA cannot be met? Its purpose is to test whetherthree or more populations are equal. The data must be at leastordinal scaled.
20) Rachael Smith is the personnel manager at Johnson and Johnston,an accounting firm. She is concerned about absenteeism, which seemsto be an increasing problem, especially after days off work. Shedecided to sample the records to determine if absenteeism wasdistributed evenly throughout the 6-day work week. The nullhypothesis to be tested was: Absenteeism is distributed evenlythroughout the week. The sample results were:
Day of Week Number Absent
Monday 12
Tuesday 9
Wednesday 11
Thursday 10
Friday 9
Saturday 9
What is the critical value of chi-square with a significant levelof = 0.05?
21) A public opinion poll surveyed a simple random sample ofvoters. Respondents were classified by gender and by votingpreference—Republican, Democrat, or Independent. The resultsfollow.
Voting Preferences Republican Democrat Independent Row total
Male 200 150 50 400
Female 250 300 50 600
Column total 450 450 100 1000
If you conduct a chi-square test of independence, what is theexpected frequency count of male Independents?
22) What parametric test is equivalent to the nonparametricSpearman’s rank test?
23) What is the variable used to predict another variablecalled?
24) Michelle used a sample of 50 U.S. cities to estimate therelationship between crime, or annual property crimes per 100,000persons, and income, or median income per capita. Her estimatedregression equation was crime = 428 – .01 income. Assuming hermodel is statistically significant, if income decreases by $1,000,we would predict that crime will
25) In the least squares equation, Y’ = 12 + 25X the value of 25indicates
26) A test is conducted in eight cities to see if giving away freetransit system maps will increase bus ridership. In a regressionanalysis, the dependent variable is the increase in bus ridershipin thousands of persons from the start of the test until itsconclusion. The independent variables are X1 = the number inthousands of free maps distributed and X2 = a binary equal to 1, ifthe city has free downtown parking and 0 otherwise. The estimatedregression equation is Y = 1.32+.0345X1-1.45X2. If the Y value forcity 3 is 7.3, X1 = 140, and X2 = 0 the residual for city 3 inthousands is:
27) The following linear trend equation was developed for theannual sales of the Tractor Manufacturing Company. Y’ = 355 + 50tin thousands of dollars. How much are sales increasing by? 28) The time series component that reflects variability over short,repetitive time periods that last less than one year is called
29) A research company has been hired by a realty company to do ananalysis of heating cost of homes in the region. The realty companywanted to be able to predict the heating cost of a typicalsingle-family home. The realty company was constantly being askedquestions regarding heating costs by potential home buyers. It wasbelieved that these variables would impact heating costs (Y’): meandaily outdoor temperature (X1), the number of inches of insulation(X2), and the age in years of the furnace (X3). The multipleregression analysis produced the following regression equation: Y’= 427.2 – 4.58X1 – 14.83X2 + 6.10X3. Which statement is correctbased on this analysis?
30) If we fit a linear trend to data that are growingexponentially,
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