Stat 3001 practice exam questions
STAT 3001 Practice Exam

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1. An admissions advisor for a notorious develop decides he would relish to designate the medium age of wards at the develop for some promotional materials. To do this he pulls the memorials of 200 casual wards at the develop.
What expression of examine is this (notice or trial), what is the variconducive of attention?
2. Fifty registered nurses are asked how frequent hours they product each week. Based on this case the judged medium is 46 hours after a while a latitude of blunder of 4.9 hours. Use the abandoned treasures to fulfill the dependence cessation relishly to embrace the explicit population medium.
3. The aftercited histogram represents the movie prolixitys hit movies in 1998
a How frequent movies sum are represented in this histogram?
b. How frequent movies lasted close than 150 minutes?
c. How frequent movies lasted past than 150 minutes?
d. What is the foremost slight movie prolixity represented in this histogram?
4. A legitimate fortune commissioner memorials the figure of the prospect residences she has listed at this twinkling they are as follows:
123,000 155,000 139,000 140,000 159,000 34,000 121,000 and
434,000
a. Ascertain the medium and median of the facts presented
b. Fulfill the outlier on the LOW end of the facts set, transport this treafast and count the new medium and median
c. Fulfill the outlier on the HIGH end of the facts set, transport this treafast what is the new medium and median of the facts set (HINT be fast you put your low treafast end in!)
5. In a inspect of 2,150 US teachers it was rest that 60% of them said if they could setout their progresss intermittently they would prefer a irrelative progress. The latitude of blunder was 5 percentage points
What was the view of this examine
What is the population
Identify the population parameter of attention
Identify the case
What is the raw facts calm for this examine
Identify the case statistic
Based on the latitude of blunder fulfill the stflatten of treasures relishly to embrace the population parameter of attention
6. The aftercited tconducive shows the medium wprospect and measure derangement for irrelative perversioned M and M’s in grams
Color  Mean  Standard derangement 
Red  0.91  0.03 
Yellow  0.92  0.03 
Blue  0.90  0.02 
Assume the machine filling the bag is set to exclude M and M’s past than 2 measure derangements aloft and beneath the medium
For each perversion ascertain the stflatten of moments that are acceptconducive to the vending machine
Red:
Yellow:
Blue:
7. The aftercited tconducive measures the wprospect of M and M’s (in grams) of diversified perversions of the candy.
Ostflatten Blue Green
0.903 0.838 0.911
0.92 0.875 1.002
0.861 0.87 0.902
1.009 0.956 0.93
0.971 0.968 0.949
0.898 0.89
0.942 0.902
0.897
Use a 0.01 flatten of purport to experience the right that the irrelative perversions all accept the selfselfselfsame medium.
a. Ascertain the p treasure
b. At this flatten is there symbolical exemplification to say that all perversions accept the selfselfselfsame medium?
8. A statistics ward determined to flatten a dice 50 terms, she flattened the sum two 11 terms. Is the dissimilarity unordered what the ward flattened and what is theoretically expected statistically symbolical?
9. Facts was recorded for the sum of residence runs hit for three baseball players, Mark McGwire, Sammy Sosa and Barry Bonds. The Analysis of Variance results obtained from software are rest beneath. The purport flatten is 0.10 in experienceing the ineffectual conjecture.
Source: DF: SS: MS: Experience Stat Censorious F: PValue:
Treatment: 2 9546.87 4773.43 3.35 2.32 0.036
Error: 206 293224.08 1423.41
Total: 208 302770.95
What is the ineffectual conjecture?
What is the resource conjecture
What is the p treasure
Is there tit exemplification to subsistence the right that the three players accept irrelative medium sum of residence runs hit?
10. A scrutinyer wishes to judge the medium sum of hours that violent develop wards exhaust on facecapacity each day. A latitude of blunder of 0.22 hours is desired. Past studies alludeto a population measure derangement of 2.1 hours is selfpossessed, judge the partiality case bigness needed to judge the population medium after a while the desired atonement.
11. A examine was manufactured unordered 1200 Walden Students. Unordered these wards 700 were Masters of Nursing wards and 520 of these were vestibule their primary online series. Unordered the 500 other wards, 410 were vestibule their primary online series.
a. What percentage of wards were nursing wards
b. What percentage of nursing wards were vestibule their primary online series
c. Unordered those who were NOT nursing wards what percentage were vestibule their primary online series?
d. What percentage of the wards were vestibule the primary online series?
12. On scrutiny examine of unfair garbage use unordered teenagers shows a wane from 11.4% in 1997 to 9.5% now. Suppose a examine in a comprehensive violent develop reveals that in a humble casual case of 1054 wards 97 noise using unfair garbages. Use the 0.05 purport flatten to experience the principal’s right that unfair garbage use is beneath the notorious medium.
a. formulate the ineffectual and resource conjecture
b. The case statistics are the case bigness n=1054 and the case interrelationship , ascertain the case interrelationship rotunded to impure decimal places
c. Ascertain the measure account, z for the case interrelationship
d. Is there tit exemplification to subsistence the principals right that the unfair garbage use at this develop is beneath the notorious medium?
a. How frequent measure derangements is the case interrelationship from the medium of the disposal of case interrelationships?
b. What is the verisimilitude the excellented case would accept a interrelationship of close than 0.38?
14. You excellent a casual case of n=15 families in your neighborhood and ascertain the aftercited source bignesss.
7 
8 
11 
10 
9 
7 
8 
8 
7 
8 
7 
8 
9 
10 
6 
Find the medium source bigness from the case as wellbehavedbehaved as the measure derangement 
What is the best judge for the medium case bigness for the population of all source bignesss in the empire? 
What is the 95% dependence cessation for the medium? Do you feel this case is figurative of the whole race why or why not?

15. Abandoned the aftercited conjecture statements:
H_{o}: The medium GPA of males=medium GPA of females
H_{a}: The medium GPA of males is not resembling to the medium GPA of females
Explain in the composition of GPA for males and females what it mediums to fashion a expression I and expression II blunder.
16. A humble casual case of 25 ward IQ accounts is excellented. The medium account is 102.5 after a while a measure derangement of 12.8. Us the t disposal to erect a 95% dependence cessation for the population medium.
Solution: Latitude of blunder = t * (s / SQRT n )
S = measure derangement treasure
SQRT = clear spring symbol
n = case bigness
t = 2.064 (for this gist)
Find the t treafast after a while mark of immunity = 251 = 24 (or closest to 24 in the t consideration) and alpha 0.05 or 5%.
After you ascertain the latitude of blunder, add and take it from the abandoned medium treafast to ascertain the Dependence cessation.
Confidence cessation = medium treafast +/ latitude of blunder treasure
17. Arrogate that the population medium is to be judged from a case. Use the case results to abut the latitude of blunder and 95% dependence flatten.
Sample bigness=121 case medium=80 case measure derangement =14
18. A humble yes/no inspect is presented to two groups of subjects, those after a while conclusion and those after a whileout. The results are summarized in the two way tconducive beneath.
Yes  No  
Respondent has conclusion  190  240 
Respondent does not accept conclusion  35  80 
a. State the ineffectual and resource hypotheses
b. Ascertain the tconducive of expected frequencies
c. Ascertain the chi cleard experience statistic
d. Ascertain the censorious treafast of the chi cleard experience statistic at a 0.05 flatten of purport
e. Based on these treasures which conjecture is subsistenceed?
19. In a novel examine of 353 4 year old girls the aftercited facts was calm:
One of the girls perpended 40 pounds, she was heavier than 200 of the other girls. What percentile is this treasure?
One of these girls perpended 24 pounds, she was heavier than 18 of the other girls, what percentile was this point treasure?
One of the girls perpended 44 pounds and was heavier than 301 of the other girls. What is the percentile of this point treasure?
20. A violent develop ward flattens a dice 12 terms and memorials the aftercited results
1 4 6 2 2 3 4 5 6 1 2 3
Based on these results accomplished the aftercited tconducive (rotund to the nearest tenth as needed)
Number  Frequency  Relative number (as a %)  Cumulative number 
1  
2  
3  
4  
5  
6 
21. Arrogate the medium wprospect of 5 year olds is ordinaryly nice after a while a medium of 45 pounds and measure derangement of 5 pounds. Using the 689699.7 administration ascertain the aftercited:
a. Percent of five year olds who perpend close than 40 pounds
b. The percent who perpend past than 55 pounds
c. The percent who perpend unordered 40 and 55 pounds
22. Designate if the aftercited variconducive is redundant or requisite and surrender their flatten of extent. If it is requisite in naturalness stat if it is consecutive or discrete.
Number of facecapacity friends
Wprospect in pounds
23. The whole of pay tribe rescue on medium has waned from 7% to 4%.
a. The savings rebuke has waned by ____ percentage points
b. Ascertain the percent qualify in savings rebuke
Percent of qualify = (new pay – first pay) / first pay
= (0.04 – 0.07) / 0.07
= 0.03 / 0.07
= 0.4285 = 42.85%
24. Based on facts from the develop consideration arrogate SAT accounts are ordinaryly nice after a while a medium of 1518 points an d a measure derangement of 325 points.
a. If a case of 100 wards is engagenascertain the medium and measure derangement of the disposal of case mediums
b. If a case of bigness 121 wards is engagen ascertain the medium and measure derangement of the disposal of case mediums
25. A humble casual case of 16 irrelative cereals is obtained; the sugar satisfied (in grams) is measured for each cereal. The case has a medium of 0.295 grams, a measure derangement of 0.168 grams. Use the 0.05 flatten of purport to experience the right that the medium whole of sugar is close than 0.3 grams.
a. State the ineffectual and resource conjecture statements
b. Ascertain the experience statistic T
c. Which conjecture does the facts subsistence?
26. A casual case of thirty six cans of cola has a medium of 12.19 ounces after a while a measure derangement of 0.11 ounces. Arrogate we are using a 0.05 flatten of purport to experience the conjecture the medium can of cola embraces past than 12.19 ounces. The population medium is 12 ounces.
a. Ascertain the experience statistic z
b. Ascertain the p treasure
27. The aftercited facts set includes the selling figures of residences (in thousands) and the whole of taxes paid
Selling Taxes
142 3167
175 4033
129 1471
138 3204
232 3513
135 3028
150 3131
207 5158
Find the r and r cleard treasures
28. A population medium is to be judged from the case descriptive beneath. Ascertain the latitude of blunder and 95% dependence cessation.
Sample bigness 100, case medium 75.0 case measure derangement 10.0
29. The aftercited tconducive surrenders the residencerun distances of ten residence runs hit by Sammy Sosa and Mark McGwire. Ascertain the stflatten and measure derangement for each player
McGwire  Sosa 
360  371 
370  350 
370  430 
430  420 
420  430 
340  434 
460  370 
410  420 
440  440 
410  410 
30. In a Gallup poll targeting 1025 casually excellented adult Americans 47% thinkd that the races best years were peaceful afront of us (rather than after us). Fulfill the aftercited:
a. The case
b. The population
c. The sampling way used
d. Fulfill the case statistic
e. Fulfill the population parameter
f. Do you think the case is figurative of the population? Why?