According to the Empirical Rules, Approximately 99.7% of the Observations Will Fall Within

8/20/2019 According to the Empirical Rules, Approximately 99.7% of the Observations Will Fall Within

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According to the empirical rules, approximately 99.7% of

the observations will fall within

1. According to the empirical rules, approximately 99.7% of theobservations will fall within ________. (oints ! "#

one standard deviation of the mean two standard deviations of the mean three standard deviations of the mean four standard deviations of the mean

2. $umerical facts and figures that are collected through some type ofmeasurement process are called ________. (oints ! "#

statistics

metric information

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variables

3. hich of the following functions is used to find the smallest value in arange of cells using &icrosoft 'xcel (oints ! "#

&A)(range# &*$(range# +&(range# A-'A/'(range#

4. A metric that is derived from counting something is calleda(n# ________ metric. (oints ! "#

continuous nominal discrete ordinal


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5. hich of the following principles underliestatistical thin0ing (oints ! "#

All wor0 occurs in a system of interconnected processes. All processes are identical without any degree of variation. 1etter performance results from increasing variation.

-ariations in measurement will not occur unless there are variations inthe true values.

6. 2utcomes such as customer satisfaction and dissatisfaction, complaintsand complaint resolution, and customer perceived value would beconsidered ________ outcomes. (oints ! "#

customer3focused

wor0force3focused product and process leadership and governance


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7. A distribution that is relatively flat with a wide degree of dispersion hasa coefficient of 0urtosis that is ________. (oints ! "#

more than 4 less than 4 less than 5

more than 5

8. 6he correlation coefficient is a number between ________. (oints ! "#

and 8 3 and 3 and 8

3" and 8"


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9. 6he number of phone calls coming into a switchboard in the next fiveminutes will either be , , ", 4, :, ;, or 5. 6he probabilities are the samefor each of these (


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11. A discrete random variable has a mean of : and a variance of 5:.hat is the standard deviation (oints ! "#

5: ?

" :

12. +uppose that, historically, April has experienced rain and atemperature between 4; and ; degrees on " days. Also, historically, themonth of April has had a temperature between 4; and ; degrees on ";days. @ou have scheduled a golf tournament for April ". *f the

temperature is between 4; and ; degrees on that day, what will be the probability that the players will get wet (oints ! "#

.444 .557 .? .


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13. ata for a particular subdivision near downtown Bouston indicate thatthe average price per s>uare foot for a home is C with a standarddeviation of C; (normally distributed#. hat is the probability that theaverage price per s>uare foot for a home is greater than C (oints ! "#

."4 .?: .977

14. 6he time re>uired to complete a pro=ect is normally distributed with amean of ? wee0s and a standard deviation of wee0s. 6he

construction company must pay a penalty if the pro=ect is not finished bythe due date in the contract. *f a construction company bidding on thiscontract puts in a due date of ? wee0s, what is the probability that theywill have to pay a penalty (oints ! "#

. .;


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15. 6he number of cell phone minutes used by high school seniorsfollows a normal distribution with a mean of ; and a standard deviationof ;. hat is the probability that a student uses more than 4; minutes(oints ! "#

. .999 .5? .4?"

16. 6he classical method of determining

probability is (oints ! "#

sub=ective probability. conditional probability. ob=ective probability. =oint probability.


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17. A finite population correction factor should be used to ad=ust themargin of error when the sample ta0en is larger than ________ of theentire population. (oints ! "#

%

% ;% ;%

18. Dind the confidence interval for a population mean of 5; acres at a9% level of confidence with a sample siEe of ;" and standard deviationof "7 acres. (oints ! "#

?9 to 9 acres 5?.?: to 5".5 acres :;" to :";" acres 7" to "? acres


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19. /iven that a sample of siEe " was ta0en from a finite population of5 with a population standard deviation of .?, what would be the marginof error at a 9;% level of confidence (oints ! "#

F.?

F.9?5 F"."" F.::;"

20. 6he two most commonly used types of estimates instatistics are ________. (oints ! "#

cluster intervals and standard estimates unbiased estimator and standard distribution point estimates and confidence intervals sampling estimates and central limit interval


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21. egarding the standard error of the mean, ________. (oints ! "#

as the sample siEe increases, the standard error increases as the sample siEe decreases, the standard error decreases

as the sample siEe increases, the standard error decreases it is defined as one3half of the population standard deviation

22. Dind the standard error of the mean when the population standarddeviation is ".: and a sample of siEe 45 is ta0en. (oints ! "#

:.4

.5 :.: .:


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23. 6he standard error of the mean is ________. (oints ! "#

the variance of the sampling distribution of the mean the standard deviation of the sampling distribution of the mean

the range of the sampling distribution of the mean the mean of the sampling distribution of the standard deviations

24. hat is the value of the finite population correction factor when asample siEe of "; is ta0en from a finite population of (oints ! "#

.7;

.?557 .995 .":9?


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25. Use the information below to answer the question.

6he following table provides data on a sample of customers who visited alocal restaurant. 6he restaurant owner believes that the average profit percustomer exceeds C";.

45.74

4;.;

";

.9"

4?

.45

:.5;

";.;

?.7?

9.7?

4 "


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4.

:

"."

"

".?;

"5."4

"".4

4".44

"?.:5

4:.;

4:.7"

":."

":."

"?.9;

".

9.


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?:

7:

".7;

Dormulate the null and the alternative hypotheses to determine if the data

supports the restaurant ownerGs claim. (oints ! "#

B! 6he average profit per customer H C";B! 6he average profit per customer C"; B! 6he average profit per customer H C";B! 6he average profit per customer I C"; B! 6he average profit per customer H C";B! 6he average profit per customer J C"; B! 6he average profit per customer I C";B! 6he average profit per customer H C";

26. A one3tailed test is employed when the nullhypothesis ________. (oints ! "#

is structured as KK specifies a direction of relationship is structured as KHK falls in the upper tail of the distribution


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27. 6he confidence coefficient is ________. (oints ! "#

the probability of correctly failing to re=ect the null hypothesis

the probability of ma0ing a 6ype ** error the probability of ma0ing a 6ype * error the probability of correctly re=ecting the null hypothesis

28. *f the confidence coefficient is .9, ________. (oints ! "#

we expect that 9 samples out of will support the null hypothesis we expect that 9 out of samples will support the null hypothesis we expect that samples out of will support the null hypothesis we expect that all samples will support the null hypothesis


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29. Bypothesis testing always assumes that ________. (oints ! "#

the alternative hypothesis is true the null hypothesis is true

the probability of the null hypothesis being true is less than ;% the probability of the alternative hypothesis being true is less than;%

30. 6he null hypothesis ________. (oints ! "#

describes an existing theory or belief that is accepted as correct in the presence of contradictory data describes an existing theory or belief that is accepted as correct in theabsence of contradictory data is based on new information provided by sample data is based on new information provided by population data


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31. Use the information below to answer the question.

6he following table provides data on a sample of customers who visited alocal restaurant. 6he restaurant owner believes that the average profit percustomer exceeds C";.

45.74

4;.;

";.

9"

4?.

45

:.5;

";.;

?.7?

9.7?

44.

"".


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:

""

".?;

"5."4

""

.4

4"

.44

"?.:5

4:.;

4:.7"

":."

":

."

"?

.9;

".?:

9.7:


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".

7;

hich of the following is the critical value using a level of significance of .; (oints ! "#

.77 3.77 .749

3".749

32. 6he power of the test has a value of ________. (oints ! "#

3 a 8 L

3 L a 3 L


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33. *n the construction of decision trees, which of the following shapesrepresents a state of nature node (oints ! "#

s>uare circle

diamond triangle

34. *n the construction of decision trees, which of the following shapesrepresents a decision node (oints ! "#

s>uare

circle diamond triangle


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35. A mar0et research study is being conducted to determine if a productmodification will be well received by the public. A total of ,consumers are >uestioned regarding this product.6he table below provides information regarding this sample.

ositiveeaction

$eutr aleaction

$egativeeaction

&

ale

": 5

Demale

"5

""

"

hat is the probability that a randomly selected person would be a femalewho had a positive reaction (oints ! "#

."; ."5 .:;; .?:


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36. 6he probability that a typical tomato seed will germinate is 5%. Aseed company has developed a hybrid tomato that they claim has an ?;%

probability of germination. *f a gardener plants the new hybrid tomato in batches of ", what is the probability that or more seeds will germinatein a batch (oints ! "#

.5: .?4 ."5: .745

37. Bistorical data indicates that only "% of cable customers are willing

to switch companies. *f a binomial process is assumed, then in a sampleof " cable customers, what is the probability that no more than 4customers would be willing to switch their cable (oints ! "#

.?; .; ." .:


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38. Moc0 combinations are made using 4 digits followed by " letters. Bowmany different loc0 combinations can be made if repetition of digits isallowed (oints ! "#

5

"5 5,75 575,

39. *n "" the stoc0 mar0et too0 some big swings up and down. 2nethousand investors were as0ed how often they trac0ed their investments.6he table below shows their responses. hat is the probability that an

investor trac0s the portfolio wee0ly

Bowoftentrac0ed

esponse

aily "4;


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ee0ly "7?

&onthly "9"

Dewtimes ayear

45

o nottrac0

;9

(oints ! "#

."4; ."7? .;4 .7""

40. *n hypothesis testing, the null and the alternativehypotheses are ________. (oints ! "#

not mutually exclusive mutually exclusive always false always true


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41. *f we fail to re=ect the null hypothesis, ________. (oints ! "#

we have found evidence to support the alternative hypothesis

the null hypothesis is proved to be true we have only failed to find evidence to support the alternativehypothesis the hypothesis test is inconclusive

42. 6he probability of a 6ype * error can be specified by the investigator.6he probability of a 6ype ** error is ________. (oints ! "#

one minus the probability of 6ype * error the result of the hypothesis test itself also specified by the investigator not specified by the investigator but computed using the power of thetest


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43. A ma=or consumer products company wants to measure the type and>uantity of laundry detergent used by consumers. After choosing asuburban street at random, employees go door3to3door to every fifthhouse to as0 for permission to view their laundry detergent supply. hatsampling method is being used for this sampling plan (oints ! "#

simple random sampling systematic sampling continuous sampling sub=ective sampling

44. A ma=or consumer products company wants to measure the >uality of

the pac0aging of their products on the store shelves. Dive large cities arechosen in different parts of the country. hat sampling method is beingused for this sampling plan (oints ! "#

simple random sampling continuous sampling sub=ective sampling stratified sampling


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45. All of the following are true about the sampling distribution of themean excet ________. (oints ! "#

the population standard deviation can be determined when a largesample siEe is used

the standard deviation of this distribution is called the standard errorof the mean when larger sample siEes are used for this distribution, the samplingerror is less this distribution approaches the normal distribution if the sample siEeis large enough

46. Dind the standard error of the mean when the population standarddeviation is :. and a sample of siEe 4 is ta0en. (oints ! "#

7.4" .? .4: .7;


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49. 6he expected value of sample information('-+*# can be used to (oints ! "#

establish a maximum amount to spend on additional information. calculate conditional probabilities.

establish ris0 avoidance. provide points on a utility curve.

50. hen conducting a test of hypothesis, if we elect to use alpha (a# of .; and the results of our analysis indicate that the null hypothesis should

be re=ected, which of the following is true (oints ! "#

the p3value is greater than .; the p3value is less than .; the p3value is greater than 8.95 the p3value is less than 3.95

According to the Empirical Rules, Approximately 99.7% of the Observations Will Fall Within

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