Question

**A)**Adult men have heights with a mean of 69.0
inches and a standard deviation of 2.8 inches. Find the height of a
man with a z-score of 0.8214 (**to 4 decimal
places)**

**B)**For a 4-unit class like Statistics, students
should spend average of 12 hours studying for the class. A survey
was done on 29 students, and the distribution of total study hours
per week is bell-shaped with a mean of 13 hours and a standard
deviation of 3.2 hours.

Use the Empirical Rule to answer the following questions.

1.68% of the students spend between ____ hours and____ hours on
Statistics each week.

2.95% of the students spend between _____ hours and ___ hours on
Statistics each week.

3.99.7% of the students spend between ____ hours and____ hours on
Statistics each week.

**C)****The five number summary of a dataset
was found to be:**

**45, 47, 60, 64, 67**

**An observation is considered an outlier if it is
below:**

**An observation is considered an outlier if it is
above:**

Answer #1

**Solution:-**

**A) The height of a man with a z-score of 0.8214 is
71.299.**

Mean = 69.0, S.D = 2.80

By applying normal distribution:-

x = 71.299

**B)**

Mean = 13, S.D = 3.2, n = 29

The values of x for z = + 1, + 2, + 3

By applying normal distribution:-

x_{68%} = 12.406, 13.594

x_{95%} = 11.811, 14.188

x_{99.7%} = 11.217, 14.783

1) 68% of the students spend between 12.406 hours and 13.594
hours on Statistics each week.

2) 95% of the students spend between 11.811 hours and 14.188 hours
on Statistics each week.

3) 99.7% of the students spend between 11.217 hours and 14.783
hours on Statistics each week.

For a 4-unit class like Statistics, students should spend
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hours. Use the Empirical Rule to answer the following questions. a)
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Male heights have a mean of 70 inches and a standard deviation
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b) 95% of the students spend between hours and...

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average of 12 hours studying for the class. A survey was done on 23
students, and the distribution of total study hours per week is
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hours. Use the Empirical Rule to answer the following questions. a)
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c.. What is the probability that a man is between 70 and 72
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x
14
20
26
18
6
24
Please show the following answers to 1 decimal
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Sample Standard Deviation (ss) =
Population Standard Deviation (σσ) =
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27
35
49
35
43
22
28
40
Find the mode:
Find the midrange:
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