Chapter 12: Q. AP4.2 (page 827)
If and P(B)=0.52 and events A and B are independent, what is P(A or B)?
a. 0.1248
b. 0.28
c. 0.6352
d. 0.76
e. The answer cannot be determined from the given information.
The P(A or B) is 0.76
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Multiple Choice Select the best answer for Exercises 23-28. Exercises 23-28 refer to the following setting. To see if students with longer feet tend to be taller, a random sample of students was selected from a large high school. For each student,andwere recorded. We checked that the conditions for inference about the slope of the population regression line are met. Here is a portion of the computer output from a least-squares regression analysis using these data:
The slope of the population regression line describes
a. the exact increase in height (cm) for students at this high school when foot length increases by.
b. the average increase in foot length(cm) for students at this high school when height increases by .
c. the average increase in height (cm) for students at this high school when foot length increases by.
d. the average increase in foot length (cm) for students in the sample when height increases by
e. the average increase in height(cm) for students in the sample when foot length increases by
Yahtzee In the game of Yahtzee, six-sided dice are rolled simultaneously. To get a Yahtzee, the player must get the same number on all dice.
a. Luis says that the probability of getting a Yahtzee in one roll of the dice is . Explain why Luis is wrong.
b. Nassir decides to keep rolling all dice until he gets a Yahtzee. He is surprised when he still hasn’t gotten a Yahtzee after rolls. Should he be? Calculate an appropriate probability to support your answer
The swinging pendulum Refer to Exercise 33. We took the logarithm (base ) of the values for both length and period. Here is some computer output from a linear regression analysis of the transformed data.
a. Based on the output, explain why it would be reasonable to use a power model to describe the relationship between the length and period of a pendulum.
b. Give the equation of the least-squares regression line. Be sure to define any variables you use.
c. Use the model from part (b) to predict the period of a pendulum with a length of cm.
A scatterplot of versus shows a positive, nonlinear association. Two different transformations are attempted to try to linearize the association: using the logarithm of the values and using the square root of the values. Two least-squares regression lines are calculated, one that uses x to predict log(y) and the other that uses x to predict . Which of the following would be the best reason to prefer the least-squares regression line that uses x to predict log(y)?
a. The value of is smaller.
b. The standard deviation of the residuals is smaller.
c. The slope is greater.
d. The residual plot has more random scatter.
e. The distribution of residuals is more Normal.
Brawn versus brain How is the weight of an animal’s brain related to the weight of its body? Researchers collected data on the brain weight (in grams) and body weight (in Page Number: 813 Page Number: 814 kilograms) for species of mammals. The following figure is a scatterplot of the logarithm of brain weight against the logarithm of body weight for all species. The least-squares regression line for the transformed data is
Based on footprints and some other sketchy evidence, some people believe that a large ape-like animal, called Sasquatch or Bigfoot, lives in the Pacific Northwest. Bigfoot’s weight is estimated to be about kilograms (kg). How big do you expect Bigfoot’s brain to be?
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