STAT3001 Practice Exam Complete Solution
STAT 3001 Practice Exam
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Please take the time to review the following mathematical problems. If you have are able to solve these problems you will be in GOOD shape for your final exam.. You may check your solutions at the end of this document.
Remember you only have ONE attempt at the final exam MAKE IT COUNT!
Your exam is open note and open book please take advantage of the opportunity to use these resources
What type of study is this (observation or experiment), what is the variable of interest?
a How many movies total are represented in this histogram?
b. How many movies lasted less than 150 minutes?
c. How many movies lasted more than 150 minutes?
d. What is the highest possible movie length represented in this histogram?
123,000155,000139,000140,000159,00034,000121,000 and
434,000
What was the goal of this study
What is the population
Identify the population parameter of interest
Identify the sample
What is the raw data collected for this study
Identify the sample statistic
Based on the margin of error identify the range of values likely to contain the population parameter of interest
Color |
Mean |
Standard deviation |
Red |
0.91 |
0.03 |
Yellow |
0.92 |
0.03 |
Blue |
0.90 |
0.02 |
Assume the machine filling the bag is set to reject M and M’s more than 2 standard deviations above and below the mean
For each color find the range of weights that are acceptable to the vending machine
Red:
Yellow:
Blue:
OrangeBlueGreen
0.9030.8380.911
0.920.8751.002
0.8610.870.902
1.0090.9560.93
0.9710.9680.949
0.8980.89
0.9420.902
0.897
Use a 0.01 level of significance to test the claim that the different colors all have the same mean.
Source:DF:SS:MS:Test StatCritical F:P-Value:
Treatment:29546.874773.433.352.320.036
Error:206293224.081423.41
Total:208302770.95
Whatis the null hypothesis?
What is the alternative hypothesis
What is the p value
Is there sufficient evidence to support the claim that the three players have different average number of home runs hit?
7 |
8 |
11 |
10 |
9 |
7 |
8 |
8 |
7 |
8 |
7 |
8 |
9 |
10 |
6 |
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Find the mean family size from the sample as well as the standard deviation |
What is the best estimate for the mean sample size for the population of all family sizes in the country? |
What is the 95% confidence interval for the mean? Do you feel this sample is representative of the entire nation why or why not?
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Ho: The average GPA of males=average GPA of females
Ha: The average GPA of males is not equal to the average GPA of females
Explain in the context of GPA for males and females what it means to make a type I and type II error.
Solution: Margin of error = t * (s / SQRT n )
S = standard deviation value
SQRT = square root symbol
n = sample size
t = 2.064 (for this problem)
Find the t value with degree of freedom = 25-1 = 24 (or closest to 24 in the t table) and alpha 0.05 or 5%.
After you find the margin of error, add and subtract it from the given mean value to find the Confidence interval.
Confidence interval = mean value +/- margin of error value
Sample size=121 sample mean=80 sample standard deviation =14
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Yes |
No |
Respondent has children |
190 |
240 |
Respondent does not have children |
35 |
80 |
One of the girls weighed 40 pounds, she was heavier than 200 of the other girls.What percentile is this value?
One of these girls weighed 24 pounds, she was heavier than 18 of the other girls, what percentile was this particular value?
One of the girls weighed 44 pounds and was heavier than 301 of the other girls.What is the percentile of this particular value?
Based on these results complete the following table (round to the nearest tenth as needed)
Number |
Frequency |
Relative frequency (as a %) |
Cumulative frequency |
1 |
|
|
|
2 |
|
|
|
3 |
|
|
|
4 |
|
|
|
5 |
|
|
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6 |
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Number of facebook friends
Weight in pounds
Percent of change = (new income – original income) / original income
= (0.04 – 0.07) / 0.07
= 0.03 / 0.07
= 0.4285 = 42.85%
SellingTaxes
1423167
1754033
1291471
1383204
2323513
1353028
1503131
2075158
Find the r and r squared values
Sample size 100, sample mean 75.0 sample standard deviation 10.0
McGwire |
Sosa |
360 |
371 |
370 |
350 |
370 |
430 |
430 |
420 |
420 |
430 |
340 |
434 |
460 |
370 |
410 |
420 |
440 |
440 |
410 |
410 |
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STAT3001 Practice Exam Complete Solution
a. The sample:1025 adults b. The population: US population c. The sampling method used: ra...
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