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Stats Questions

21/05/2020 Client: azharr Deadline: 24 Hours

1) What is the critical F value for a sample of 7 observations in the numerator and 6 in the denominator? Use a two-tailed test and the 0.1 significance level. (Round your answer to 2 decimal places.)




  F


 formula9.mml












3) The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.01 significance level.




Treatment 1


Treatment 2


Treatment 3


7


4


4


4


5


7


6


5


6


6


4


5




(a)


State the null hypothesis and the alternate hypothesis.






  H0



  H1





(b)


What is the decision rule? (Round your answer to 2 decimal places.)




  H0 if the test statistic is greater than H0


























4) A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary. The sample information is submitted to MINITAB with the following results:




  Analysis of Variance








  Source


DF


SS


MS


F


  Factor


5


36.39


7.28


1.92


  Error


12


45.54


3.80




  Total


17


81.93








Reject if F >




5) The following data are given for a two-factor ANOVA.






Treatment




Block


1


2


A


43


36


B


37


23


C


42


37




Using the .05 significance level conduct a test of hypothesis to determine whether the block or the treatment means differ.




(a)


State the null and alternate hypotheses for treatments;








  H0



  H1





(b)


State the decision rule for treatments. (Round your answer to 1 decimal place.)




  H0 if the test statistic is greater than


  H1





Also, state the decision rule for blocks.




if the test statistic is greater than


  Decision: Blocks.














6) Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.01 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?






Units Produced




  Employee


Day


Afternoon


Night


  Skaff


35


22


31


  Lum


36


26


34


  Clark


23


27


35


  Treece


32


21


27


  Morgan


21


24


24




For treatments: Reject Ho if F > difference in the mean production rate.




Decision by employee:difference in the mean production rate.




7) A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys.




Clothes


Food


Toys


27


44


61


22


49


64


46


37


57


35


56


48


28


47


63


31


42


53


17


34


48


31


43


58


20


57


47




47


51




44


51




54






(1)


Complete the ANOVA table. Use .05 significance level. (Round the SS and MS values to 1 decimal place and F value to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)




  Source


DF


SS


MS


F


P


  Factors


.


  There isin the mean attention span.




(4)


Are there significant differences between pairs of means?




  Clothes have a mean attention span of at least ten minutesthe other groups.




8) When only two treatments are involved, ANOVA and the Student t test (Chapter 11) result in the same conclusions. Also, . As an example, suppose that 14 randomly selected students were divided into two groups, one consisting of 6 students and the other of 8. One group was taught using a combination of lecture and programmed instruction, the other using a combination of lecture and television. At the end of the course, each group was given a 50-item test. The following is a list of the number correct for each of the two groups. Using analysis of variance techniques, test the null hypothesis, that the two mean test scores are equal.




Lecture and

 Programmed

 Instruction


Lecture and

 Television


14


33


12


21


26


34


25


20


16


29


14


28




21




22




(a-1)


Complete the ANOVA table. (Round SS, MS and F values to 2 decimal places.)




  Source


SS


df


MS


F


  Factors


in the mean test scores.




9) The city of Tucson, Arizona, employs people to assess the value of homes for the purpose of establishing real estate tax. The city manager sends each assessor to the same five homes and then compares the results. The information is given below, in thousands of dollars. Can we conclude that there is a difference in the assessors, at α = 0.05?




Assessor


Home


Zawodny


Norman


Cingle


Holiday


A


$53


$55


$48


$43


B


  50


  54


  54


  56


C


  45


  58


  42


  57


D


  76


  63


  61


  61


E


  83


  81


  93


  85




(a)


Is there a difference in the treatment means, at α = .05? (Round your answer to 2 decimal places.)




The computed F value is a difference in the treatment means.




(b)


Is there a difference in the block means, at α = .05? (Round your answer to 2 decimal places.)




The computed F is a difference in the block means.




10) Three supermarket chains in the Denver area each claim to have the lowest overall prices. As part of an investigative study on supermarket advertising, the Denver Daily News conducted a study. First, a random sample of nine grocery items was selected. Next, the price of each selected item was checked at each of the three chains on the same day. Use 0.01 level of significance.




Item


Super$


Ralph's


Lowblaws


1


$2.30


$1.23


$1.24


2


2.30


1.70


1.78


3


2.40


3.20


3.10


4


2.40


1.78


1.87


5


1.32


1.47


1.32


6


4.01


3.06


1.82


7


4.31


3.53


2.21


8


4.13


3.07


2.35


9


5.02


4.17


4.21






in the item means. There isin the store means.






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