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Elementary Statistics (STATs 2023) Module 4 Exam Study guide $14.99   Add to cart

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Elementary Statistics (STATs 2023) Module 4 Exam Study guide

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Elementary Statistics (STATs 2023)

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  • September 7, 2024
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  • Exam (elaborations)
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Mod 4 Quiz Questions
Question 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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