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Chapter 1: Q 100. (page 76)
Well rested? A random sample of 6 students in a first-period statistics class was asked how much sleep (to the nearest hour) they got last night. Their responses were 6, 7, 7, 8, 10, and 10. Calculate the standard deviation. Interpret this value.
The standard deviation is 1.6733 hours.
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The histogram shows the distribution of the percent of women aged 15 and over who have never married in each of the 50 states and the District of Columbia. Which of the following statements about the histogram is correct?
a. The center (median) of the distribution is about 36%.
b. There are more states with percentages above 32 than there are states with percentages less than 24.
c. It would be better if the values from 34 to 50 were deleted on the horizontal axis so there wouldn’t be a large gap.
d. There was one state with a value of exactly 33%.
e. About half of the states had percentages between 24% and 28%.
Python eggsRefer to Exercise 26.
(a) Of the eggs that hatched, what proportion were randomly assigned to hot water?
(b) Of the eggs that were randomly assigned to hot water, what percent hatched?
(c) The segmented bar graph displays the distribution of hatching status by water temperature. Describe what this graph reveals about the association between these two variables for the python eggs in this experiment.
Returns on common stocks The return on a stock is the change in its market price plus Page Number: 51 any dividend payments made. Return is usually expressed as a percent of the beginning price. The figure shows a histogram of the distribution of monthly returns for the U.S. stock market over a 273-month period.
Part (a). Describe the overall shape of the distribution of monthly returns.
Part (b). What is the approximate center of this distribution?
Part (c). Explain why you cannot find the exact value for the minimum return. Between what two values does it lie?
Part (d). A return less than 0 means that stocks lost value in that month. About what percent of all months had returns less than 0?
Protecting woodWhat measures can be taken, especially when restoring historic wooden buildings, to help wood surfaces resist weathering? In a study of this question, researchers prepared wooden panels and then exposed them to the weather. Some of the variables recorded were type of wood (yellow poplar, pine, cedar); type of water repellent (solvent based, water-based); paint thickness (millimeters); paint color (white, gray, light blue); weathering time (months). Classify each variable as categorical or quantitative.
Here are the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65. To make a stemplot of these data, you would use stems
a. 0, 2, 3, 4, 6, 8.
b. 0, 1, 2, 3, 4, 5, 6, 7, 8.
c. 0, 3, 5, 6, 7.
d. 00, 10, 20, 30, 40, 50, 60, 70, 80, 90.
e. None of these.
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