Question: 1.Find the standard score for the given data value. A data value in the 97th percentile. A. z = -2.3 B. z = -1.3 C.

1.Find the standard score for the given data value.

A data value in the 97th percentile.

A. z = -2.3 B. z = -1.3 C. z = 82.89 D. z = 1.9

2.Solve the problem.

Scores on a test are approximately normally distributed with a mean of 70 and a standard deviation of 9. The teacher wants to give A's to the top 10% of students, B's to the next 25%, C's to the next 40%, D's to the next 16%, and F's to the bottom 9%. What is the bottom cutoff for a D grade? Round your answer to the nearest whole number.

A. 62 B. 56 C. 58 D. 65

3.Find the mode(s) for the given sample data.

96, 25, 96, 13, 25, 29, 56, 96

A. 25 B. 96 C. 54.5 c. 42.5

4.Provide an appropriate response.

Which of the following is not possible?

A. A distribution has a single peak and the mean and median are different

B. A distribution is left-skewed and the mean is equal to the median

C. A distribution is right-skewed and the mean is greater than the median

D. A distribution is not symmetric and the median is equal to the mean

5.Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.

The numbers below represent the test scores of nine students.

46, 81, 54, 53, 27, 41, 67, 33, 89

Find the standard deviation.

A 19.8 B. 22.4 C. 21.0 D. 6.8

6.Identify the distribution as symmetric, left-skewed, or right-skewed.

Age at death for residents of the U.S.

A. Right-skewed B. Symmetric C. Left-skewed

7.Use the range rule of thumb to approximate the standard deviation.

15, 42, 53, 7, 9, 12, 14, 28, 47

A. 29.1 B. 16.6 C. 11.5 D. 15.8

8.A hypothesis test is to be performed. State the null and alternative hypotheses.

A consumer group believes that the proportion of defects among computers produced by one manufacturer is greater than the 2% claimed by the company.

A. Null hypothesis: proportion of defectives < 2%

Alternative hypothesis: proportion of defectives > 2%

B. Null hypothesis: proportion of defectives = 2%

Alternative hypothesis: proportion of defectives 2%

C. Null hypothesis: proportion of defectives > 2%

Alternative hypothesis: proportion of defectives = 2%

D. Null hypothesis: proportion of defectives = 2%

Alternative hypothesis: proportion of defectives > 2%

9.Find the median for the given sample data.

The salaries of ten randomly selected doctors are shown below.

$111,000 $129,000 $198,000 $228,000 $223,000

$131,000 $110,000 $714,000 $241,000 $170,000

Find the median salary.

A. $251,000 B. $184,000 C. $226,000 D. $198,000

10.Find the range for the given data.

Fred, a local mechanic, gathered the following data regarding the price, in dollars, of an oil and filter change at twelve competing service stations.

32.95 24.95 26.95 28.75

18.90 28.50 30.95 22.95

24.95 26.95 29.75 28.00

A. $8.20 B. $12.05 C. $10.95 D. $14.05

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