Exam (elaborations)
Elementary Statistics (STATs 2023) Module 4 Exam Study guide
- Course
- Elementary Statistics
- Institution
- St. Petersburg College
Elementary Statistics (STATs 2023)
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Mod 4 Quiz QuestionsQuestion 1 point
Construct the requested confidence interval.
In a random sample of 60 computers, the mean repair cost was $150 with a standard deviation of
$36. Construct a 90% confidence interval for the population mean.
($537, $654)
($138, $162)
($141, $159)
($142, $158)
Question 2 point
Select the most appropriate response.
What will happen (other things being equal) if you decrease the confidence level for a given
confidence interval?
It will be narrower
It will be wider
It will not change
Question 3 point
Construct the requested confidence interval.
In a recent study of 42 eighth graders, the mean number of hours per week that they watched
television was 19.6 with a standard deviation of 5.8 hours. Construct a 98% confidence interval for
the population mean.
(14.1, 23.2)
(18.3, 20.9)
(17.4, 21.8)
(19.1, 20.4)
Question 4 point
Interpret the confidence interval.
An experiment was conducted to estimate the average fat content of a quarter pounder with
cheese. A random sample of 30 burgers produced a sample mean of 26 grams which resulted in
a 95% confidence interval of ( 25 , 27) grams.
Which of the following is the correct interpretation of this interval?
95% of the quarter pounders with cheese sampled had a fat content
between 25 and 27 grams.
We are 95% confident that the mean fat content of the sampled quarter
pounders with cheese is between 25 and 27 grams.
We are 95% confident that the mean fat content of a quarter pounder
with cheese is between 25 and 27 grams.
We are 95% confident that the range of fat content of a quarter pounder
with cheese is between 25 and 27 grams.
Question 5 point
Select the most appropriate response.
In a random sample of 28 families, the average weekly food expense was $95.60 with a standard
deviation of $22.50. Determine whether a normal distribution or a tdistribution should be used or
whether neither of these can be used to construct a confidence interval. Assume the distribution of
weekly food expenses is normally shaped.
Cannot use normal distribution or tdistribution.
Use the tdistribution.
Use normal distribution.
Question 6 point
Construct the requested confidence interval.
A random sample of 10 parking meters in a beach community showed the following incomes for a
day. Assume the incomes are normally distributed.
$3.60 $4.50 $2.80 $6.30 $2.60 $5.20 $6.75 $4.25 $8.00 $3.00
This study source was downloaded by 100000880779952 from CourseHero.com on 09-05-2024 12:54:33 GMT -05:00
https://www.coursehero.com/file/23843311/Module-4-Quiz/
, Construct a 95% confidence interval for the true mean.
Hint: s=1.83
($2.11, $5.34)
($1.35, $2.85)
($4.81, $6.31)
($3.39, $6.01)
Question 7 point
Determine the point estimate.
A survey of 400 nonfatal accidents showed that 189 involved the use of a cell phone. Find a point
estimate for p, the population proportion of nonfatal accidents that involved the use of a cell
phone.
0.527
0.896
0.473
0.321
Question 8 point
Construct the requested confidence interval.
A survey of 280 homeless persons showed that 63 were veterans. Construct a 90% confidence
interval for the proportion of homeless persons who are veterans.
(0.161, 0.289)
(0.184, 0.266)
(0.176, 0.274)
(0.167, 0.283)
Question 9 point
Determine the margin of error.
It has been determined with 95% confidence that the proportion of online students at SPC who
live in Pinellas County is between 0.73 and 0.77.
Determine the margin of error associated with this confidence interval.
±0.01
±0.02
±0.03
±0.04
±0.05
Question 10 point
Determine the sample proportion.
It has been determined with 95% confidence that the proportion of online students at SPC who
live in Pinellas County is between 0.73 and 0.77.
Determine the sample proportion of online SPC students who live in Pinellas County.
0.10
0.73
0.75
0.79
0.90
Question 11 point
Construct the requested confidence interval.
A survey of 300 union members in New York State reveals that 112 favor the Republican candidate
for governor. Construct a 90% confidence interval for the percentage of all New York State union
members who favor the Republican candidate.
(30.1%, 44.5%)
(32.7%, 41.9%)
This study (31.9%, 42.8%)
source was downloaded by 100000880779952 from CourseHero.com on 09-05-2024 12:54:33 GMT -05:00
(26.7%, 47.9%)
https://www.coursehero.com/file/23843311/Module-4-Quiz/
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