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In order to collect data on the number of hours students i

/in /by

-In order to collect data on the number of hours students
in your university spend on homework daily, you plan on asking each student in a random sample his or her daily average. Explain your answer.
–
-(a) Which type of data will you collect?
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-Discrete
-Continuous
-Qualitative
-Cannot be determined
–
-(b) Which measures of central tendency can be used to summarize the data? Briefly describe some circumstances under which each would each be preferred?
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-Mean
-Median
-Mode
-Variance
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–

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–

-True or False
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-The range of interval level data is always greater than the standard deviation.
FALSE

-The mean and median of a normal distribution are not necessarily the same.
TRUE

-The administration of a company was interested in the commuting distance of all employees and appointed an individual to take a survey. She surveyed all of her coworkers in her office to collect sample data.
-What type of sampling method did she use?
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–
–
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-A random sample of 40 bus riders was surveyed on a particular stop of a route on a Monday between 1:00 and 2:00 pm. The frequency distribution below shows the distribution of wait times for a bus (in minutes). Show all work for the following questions.
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Wait Time (minutes)

Frequency

Cumulative Relative Frequency

1.0 – 2.9

7

3.0 – 4.9

14

5.0 – 6.9

0.750

7.0 – 8.9

0.900

9.0 – 10.9

1.000

Total

40

-Complete the frequency table with frequency and cumulative relative frequency. Express the cumulative relative frequency to three decimal places.
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-What percentage of the wait times was less than 5 minutes?
–
-Which of the following wait time groups does the median of this distribution belong to?
-1.0 – 2.9, 3.0 – 4.9, 5.0 – 6.9, 7.0 – 8.9, or 9.0 – 10.9? Explain.
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–

-A bakery was selling eight types of cake and a customer wished to purchase two of them.
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-How many different ways can two cakes be selected?
–
-Describe how you obtained your answer including the reason for any formula used.
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–

-There are 18 runners about to run a race for which there will be a gold, a silver and a bronze medal.
–

-How many different possibilities are there for how the medals could be awarded?
–
-Describe how you obtained your answer including the reason for any formula used.
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–

-Consider selecting one ball at a time from a box which contains 8 red, 5 yellow and 2 blue balls. What is the probability that the first and second balls are yellow? Show all work.
–
-(a) Assume the ball selection is without replacement. (b) Assume the ball selection is with replacement.
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–
–

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-The following probability distribution table is for the random variable, x, the number of computers in a household. Show all work to answer the following questions.
–
x

P(x)

0

0.12

1

0.25

2

0.30

3

0.28

4

0.05

-Determine the mean of x.
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-Determine the standard deviation of x.
–
-Show all work and round all answers to two decimal places.
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–

-Assume that in an apple orchard the heights of the trees are normally distributed with a mean of 14 feet and a standard deviation of 3 feet. Show all work for the following problems.
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-What is the probability that a randomly selected tree is at least 7 feet tall?
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-What is the probability that a randomly selected tree is between 14 and 16 feet tall?
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-Round answers to 4 decimal places.

 
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