Statistical Inferences — Unit test Answers

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21
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A scientist calculated the mean and standard deviation of a data set to be and . She then found that she was missing one data value from the set. She knows that the missing data value was exactly 3 standard deviations away from the mean. What was the missing data value?

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A
129
B
147
C
360
D
369
22
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Johnni guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that she got exactly 3 questions correct? Round the answer to the nearest thousandth.

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A
0.004
B
0.208
C
0.422
D
0.792
23

Kavita has been assigned the task of studying the average customer receipt for a branch of a major restaurant chain. The average receipt for the chain is $72.00 with a standard deviation of $11.00. The branch she is studying has an average bill of $67.00 for the last 40 receipts. She needs to know if this falls below the chain’s average. She will use a 1% level for significance because she does not want to inadvertently report the restaurants income as below average.Upper-Tail Valuesa5%2.5%1%Critical z-values1.651.962.58Which choice depicts the result for Kavita’s hypothesis test?

A
She should reject H0: µ = 72 and accept Ha: µ < 72.
B
She should reject H0: µ = 72 and accept Ha: µ 72.
Option B
C
She should accept H0: µ = 72 and reject Ha: µ 72.
Option C
D
She should reject Ha: µ < 72 but cannot accept H0: µ = 72.
24

A researcher wants to survey people from different age groups to analyze voting patterns. Which type of survey will best accomplish this goal?

A
systematic random sampling
B
voluntary sampling
C
convenience sampling
D
stratified sampling

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