APUS Math 302 quiz

Question 1 of 20
1.0 Points

Accepted characters: numbers, decimal
point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A
survey of 85 families showed that 36 owned at least one DVD
player. Find the 99% confidence interval estimate of the true proportion
of families who own at least one DVD player. Place your limits, rounded to 3 decimal places, in the blanks. Place the lower limit in the first blank and the upper limit in the second blank
When entering your answer do not use any labels or symbols other than
the decimal point. Simply provide the numerical values. For example,
0.123 would be a legitimate entry.

Question 2 of 20
1.0 Points

Accepted characters: numbers, decimal
point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A
sample of 9 production managers with over 15 years of experience has an
average salary of $71,000 and a sample standard deviation of $18,000.

Assuming that the salaries of production managers with over 15 years
experience are normally distributed, you can be 95% confident that the
mean salary for all production managers with at least 15 years of
experience is between what two numbers.

Place your LOWER limit, rounded to a whole number, in the first blank.
Do not use a dollar sign, a comma, or any other stray mark. For example,
54321 would be a legitimate entry.
. Place your UPPER limit, rounded to a whole number, in the second
blank. Do not use a dollar sign, a comma, or any other stray mark. For
example, 65432 would be a legitimate entry.

Question 3 of 20
1.0 Points

Accepted characters: numbers, decimal
point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The
manufacturer of a new compact car claims the miles per gallon (mpg) for
the gasoline consumption is mound-shaped and symmetric with a mean of
24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are
tested, what is the probability the average mpg achieved by these 30
cars will be greater than 27?

Answer: Round your answer to 4 decimal places as necessary. For example, 0.1357 would be a legitimate entry.

Question 4 of 20
1.0 Points

Accepted characters: numbers, decimal
point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The
percent defective for parts produced by a manufacturing process is
targeted at 4%. The process is monitored daily by taking samples of
sizes n = 160 units. Suppose that today’s sample contains 14 defectives.

How many units would have to be sampled to be 95% confident that you can
estimate the fraction of defective parts within 2% (using the
information from today’s sample–that is using the result that .0875f$ ” src=”https://edge.apus.edu/cgi-bin/latex.cgi?inline%20%5Chat%7Bp%7D%3D0.0875″ title=”f$hat{p}=0.0875f$ “>)?

Place your answer, as a whole number, in the blank. For example 567 would be a legitimate entry.

Question 5 of 20
1.0 Points

Accepted characters: numbers, decimal
point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. If a sample has 25 observations and a 99% confidence estimate for .apus.edu/cgi-bin/latex.cgi?inline%20%5Cmu%20″ title=”f$mu f$ “> is needed, the appropriate value of the t-multiple required is . Place your answer, rounded to 3 decimal places, in the blank. For example, 3.456 would be an appropriate entry.

Question 6 of 20
1.0 Points

Accepted characters: numbers, decimal
point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. After
calculating the sample size needed to estimate a population proportion
to within 0.05, you have been told that the maximum allowable error (E)
must be reduced to just 0.025. If the original calculation led to a
sample size of 1000, the sample size will now have to be . Place your answer, as a whole number in the blank. For example, 2345 would be a legitimate entry.

Question 7 of 20
1.0 Points

Accepted characters: numbers, decimal
point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Assume
50 random samples of the same sample size are taken from a population,
and a 90% confidence interval is constructed from each sample. How many
of the intervals would you expect to contain the true population mean?

Answer: Round your answer to a whole number value as necessary. For example, 37 would be a legitimate entry.

Part 2 of 3 –

Question 8 of 20
1.0 Points

From a sample of 500 items, 30 were found to be defective. The point estimate of the population proportion defective will be:

A..06

B.0.60

C.30

D.16.667

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Question 9 of 20
1.0 Points

If you increase the confidence level, the confidence interval ____________.

A.decreases

B.may increase or decrease, depending on the sample data

C.stays the same

D.increases

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Question 10 of 20
1.0 Points

Compute .0)f$ ” src=”https://edge.apus.edu/cgi-bin/latex.cgi?inline%20P%28t_%7B15%7D%5Cgeq%202.0%29″ title=”f$P(t_{15}geq 2.0)f$ “> where t15 has a t-distribution with 15 degrees of freedom.

A.0.96803

B.0.93606

C.0.7639

D.0.03197

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Question 11 of 20
1.0 Points

A food snack manufacturer samples 15 bags of pretzels
off the assembly line and weighed their contents. If the sample mean
is 10.0 and the sample standard deviation is 0.15, find the 95%
confidence interval estimate for the true mean.

A.(9.96, 10.04)

B.(9.68, 10.32)

C.(9.97, 10.80)

D.(9.92, 10.08)

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Question 12 of 20
1.0 Points

A recent study of 750
Internet users in Europe found that 35% of Internet users were
women. What is the 95% confidence interval estimate for the true
proportion of women in Europe who use the Internet?

A.0.321 < p < 0.379 B.0.316 < p < 0.384 C.0.309 < p < 0.391 D.0.305 < p < 0.395 .apus.edu/portal/tool/2d127045-0853-4233-9b4f-053b5dacf2a5/jsf/delivery/beginTakingAssessment#">Reset Selection

Question 13 of 20
1.0 Points

A sample of 23 European countries found that the
variance of life expectancy was 7.3 years. What is the 95% confidence
interval estimate for the variance of life expectancy in Europe?

A.27.2 < .apus.edu/cgi-bin/latex.cgi?%5Cinline%20%5Csigma%20%5E%7B2%7D" title="f$sigma ^{2}f$ "> < 118.3 B.5.6 < .apus.edu/cgi-bin/latex.cgi?%5Cinline%20%5Csigma%20%5E%7B2%7D" title="f$sigma ^{2}f$ "> < 10.3 C.4.4 < .apus.edu/cgi-bin/latex.cgi?%5Cinline%20%5Csigma%20%5E%7B2%7D" title="f$sigma ^{2}f$ "> < 14.6 D.28.9 < .apus.edu/cgi-bin/latex.cgi?%5Cinline%20%5Csigma%20%5E%7B2%7D" title="f$sigma ^{2}f$ "> < 115.0 .apus.edu/portal/tool/2d127045-0853-4233-9b4f-053b5dacf2a5/jsf/delivery/beginTakingAssessment#">Reset Selection

Question 14 of 20
1.0 Points

The t- distribution for developing a confidence interval for a mean has _____ degrees of freedom.

A.n + 1

B.n – 2

C.n – 1

D.n

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Question 15 of 20
1.0 Points

If you are constructing a confidence interval for a
single mean, the confidence interval will___________ with an increase in
the sample size.

A.stay the same

B.increase or decrease, depending on the sample data

C.increase

D.decrease

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Question 16 of 20
1.0 Points

A researcher wishes to know, with 98% confidence, the
percentage of women who wear shoes that are too small for their feet. A
previous study conducted by the Academy of Orthopedic Surgeons found
that 80% of women wear shoes that are too small for their feet. If the
researcher wants her estimate to be within 3% of the true proportion,
how large a sample is necessary?

A.966

B.683

C.183

D.484

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Question 17 of 20
1.0 Points

Which of the following will make a confidence interval narrower and more precise?

A.Smaller sample size and higher confidence level

B.Larger sample size and higher confidence level

C.Larger sample size and lower confidence level

D.Smaller sample size and lower confidence level

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Question 18 of 20
1.0 Points

In constructing a confidence interval estimate for a population mean, when we replace .apus.edu/cgi-bin/latex.cgi?inline%20%5Csigma%20″ title=”f$sigma f$ “> with the sample standard deviation (s), we introduce a new source of variability and the sampling distribution we use is:

A.chi-square distribution

B.t -distribution

C.F- distribution

D.the normal distribution

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Part 3 of 3 –

Question 19 of 20
1.0 Points

The 95% confidence interval for the population mean .apus.edu/cgi-bin/latex.cgi?inline%20%5Cmu%20” title=”f$mu f$ “> , given that the sample size n = 49 and the population standard deviation .apus.edu/cgi-bin/latex.cgi?inline%20%5Csigma%20” title=”f$sigma f$ “> = 7, is .96f$ ” src=”https://edge.apus.edu/cgi-bin/latex.cgi?inline%20%5Cbar%7BX%7D%5Cpm%201.96″ title=”f$ar{X}pm 1.96f$ “> .

True

False

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Question 20 of 20
1.0 Points

The upper limit of the 90% confidence interval for the population proportion p, given that n = 100; and .apus.edu/cgi-bin/latex.cgi?inline%20%5Chat%7Bp%7D” title=”f$hat{p}f$ “> = 0.20 is 0.2341.

True

False