Free Printable AQR Stats - 5.3 to 5.4 Apr 6

Worksheets

AQR Stats - 5.3 to 5.4 Apr 6

Total questions: 15

Worksheet time: 27mins

Name

Class

Date

434 Company pack coffee in bags marked as 250 g

A large number of packs of coffee were weighed and the mean and standard deviation were calculated as 255 g and 2.5 g respectively.

Assuming this data is normally distributed, what percentage of packs are underweight?

2.5%

3.5%

The ages of the population of people living in Meru area in Ipoh are Normally distributed with mean 43 and standard deviation 14

The town has a population of 5,000.

How many would you expect to be aged between 22 and 57?

You can use this Standard Normal Distribution curve:

1750

3860

3870

4330

68% of the marks in a test are between 51 and 64

Assuming this data is normally distributed, what are the mean and standard deviation?

Mean = 57

S.D. = 6.5

Mean = 57

S.D. = 7

Mean = 57.5

S.D. = 6.5

Mean = 57.5

S.D. = 13

Given a mean of 75 and a standard deviation of 7, what percentage of scores are greater than 68?

34%

84%

95%

68%

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches.
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.

-2

-1

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the z-score for a temperature of 17 degrees?

1.43

-1.43

11.5

Pat and Chris both took a spatial abilities test (mean = 80, std. dev. = 8). Pat scores a 76 and Chris scored a 94. What percent of individuals would score between Pat and Chris?

26.8%

96%

65.1%

The z-score represents.....

the amount of standard deviations a data value is above or below the mean.

the percentile the data value is above or below the mean.

the amount of standard deviations a data value is above or below the median.

the percent the data value is above or below the mean.

Find the cumulative area that corresponds to a z-score of 1.25.

0.89

0.01

0.79

0.12

10.

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25.
What is the mean of the sampling distribution?

400

11.

The weights of unicorns are given by N(1000, 25). What is the probability that a unicorn weighs less than 975 pounds?

15.87%

84.13%

46.02%

12.05%

12.

What happens to the shape of a sampling distribution of sample means as n increases?

It becomes narrower and bimodal.

It becomes narrower and more normal.

It becomes wider and skewed right.

It becomes wider and more normal.

13.

Which sample size for a sampling distribution will have the SMALLEST standard deviation?

n = 10

n = 200

n = 400

n = 1000

14.

Calculate μ_x-bar and σ_x-barif μ = 794, σ = 48, and n = 64

μ_x-bar = 794, σ_x-bar = 0.75

μ_x-bar = 12.4, σ_x-bar = 0.75

μ_x-bar =794, σ_x-bar = 6

μ_x-bar = 99.25, σ_x-bar = 6

15.

The mean distance an OHS student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Is it more likely to find one student that travels more than 6 miles to school or a mean of a sample of 29 students that travel more than 6 miles?

It is more likely to find 1 student that travels more than 6 miles to school

It is more likely to find a sample of 29 students whose mean is greater than 6 miles

Both equally likely

There is not enough information to answer this question

100 %

AQR Stats - 5.3 to 5.4 Apr 6

Total questions: 15

Worksheet time: 27mins

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