STATS 20 MCQs Quiz Latest

| August 31, 2017

Question
Question 1 of 20 1.0 Points
A manufacturer of flashlight batteries took a sample of 13 batteries from a day’s production and used them continuously until they failed to work. The life lengths of the batteries, in hours, until they failed were: 342, 426, 317, 545, 264, 451, 1049, 631, 512, 266, 492, 562, and 298.

At the .05 level of significance, is there evidence to suggest that the mean life length of the batteries produced by this manufacturer is more than 400 hours?
A.No, because the p-value for this test is equal to .1164
B.No, because the test value 1.257 is greater than the critical value 1.115
C.Yes, because the test value 1.257 is less than the critical value 2.179
D.Yes, because the test value 1.257 is less than the critical value 1.782
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Question 2 of 20 1.0 Points
The hypothesis that an analyst is trying to prove is called the:
A.quality of the researcher
B.elective hypothesis
C.alternative hypothesis
D.level of significance
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Question 3 of 20 1.0 Points
A two-tailed test is one where:
A.results in either of two directions can lead to rejection of the null hypothesis
B.negative sample means lead to rejection of the null hypothesis
C.results in only one direction can lead to rejection of the null hypothesis
D.no results lead to the rejection of the null hypothesis
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Question 4 of 20 1.0 Points
If a teacher is trying to prove that a new method of teaching economics is more effective than a traditional one, he/she will conduct a:
A.two-tailed test
B.point estimate of the population parameter
C.confidence interval
D.one-tailed test
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Question 5 of 20 1.0 Points
The “Pizza Hot” manager commits a Type I error if he/she is
A.staying with old style when new style is better
B.switching to new style when it is no better than old style
C.staying with old style when new style is no better than old style
D.switching to new style when it is better than old style
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Question 6 of 20 1.0 Points
The null and alternative hypotheses divide all possibilities into:
A.as many sets as necessary to cover all possibilities
B.two non-overlapping sets
C.two sets that may or may not overlap
D.two sets that overlap
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Question 7 of 20 1.0 Points
In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7.
State the null and alternative hypotheses.

A.H0: 75, H1: 75
D.H0: 75, H1: > 75
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Question 8 of 20 1.0 Points
Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.
State the null and alternative hypotheses.
A.H0: ? = .79, H1: ? > .79
B.H0: p ? .79, H1: p > .79
C.H0: p = .79, H1: p ? .79
D.
H0: = .79, H1: > .79
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Question 9 of 20 1.0 Points
A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician’s accuracy is within the target accuracy?
Compute the value of the appropriate test statistic.
A.t = 27.50
B.z = 1.65
C. = 30.58
D. = 27.50
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Question 10 of 20 1.0 Points
The alternative hypothesis is also known as the:
A.null hypothesis
B.optional hypothesis
C.elective hypothesis
D.research hypothesis
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Question 11 of 20 1.0 Points
A type I error occurs when the:
A.test is biased
B.null hypothesis is incorrectly rejected when it is true
C.null hypothesis is incorrectly accepted when it is false
D.sample mean differs from the population mean
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Part 2 of 3 –
Question 12 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 CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to test
H0: p .45 vs H1: p 1500
Sample mean 1509.5
Std error of mean 4.854
What is the test value that you would use to conduct this test? Place your answer, rounded to 3 decimal places in the blank. For example, 1.234 would be a legitimate entry.
Question 14 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 CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to test
H0: p .45 vs H1: p 1500
Sample mean 1509.5
Std error of mean 4.854
Assuming the life length of this type of lightbulb is normally distributed, what is the p-value associated with this test? Place your answer, rounded to 3 decimal places in the blank. For example, .123 would be a legitimate entry.
Question 16 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 medical doctor wishes to test the claim that the standard deviation of the systolic blood pressure of deep sea divers is greater than 450. To do so, she selected a random sample of 25 divers and found s = 468.
Assuming that the systolic blood pressures of deep sea divers are normally distributed, the doctor would perform a chi-square test to test her research hypothesis. In that case, what is the test value that she would compute.
Place your answer, rounded to 3 decimal places, in the blank. For example, 34.567 would be a legitimate entry.
Question 17 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 determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 190 customers, 15 customers stated their preference for mint chocolate chip.
Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance.
P-value: Round your answer to four decimal places as necessary.

Part 3 of 3 –
Question 18 of 20 1.0 Points
In order to determine the p-value, it is unnecessary to know the level of significance.
True
False

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Question 19 of 20 1.0 Points
An alternative or research hypothesis is usually the hypothesis a researcher wants to prove.
True
False

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Question 20 of 20 1.0 Points
A low p–value provides evidence for accepting the null hypothesis and rejecting the alternative.
True
False

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