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Chapter 7: Q 44. (page 462)
Who owns a Harley? Harley-Davidson motorcycles make up of all the motorcycles registered in the United States. You plan to interview an SRS of motorcycle owners. How likely is your sample to contain or more who own Harleys?
Required probability is
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A 10-question multiple-choice exam offers 5 choices for each question. Jason just guesses the answers, so he has probability of getting any one answer correct. You want to perform a simulation to determine the number of correct answers that Jason gets. What would be a proper way to use a table of random digits to do this?
a. One digit from the random digit table simulates one answer, with 5 = correct and all other digits = incorrect. Ten digits from the table simulate 10 answers.
b. One digit from the random digit table simulates one answer, with 0 or 1 = correct and all other digits = incorrect. Ten digits from the table simulate 10 answers.
c. One digit from the random digit table simulates one answer, with odd = correct and even = incorrect. Ten digits from the table simulate 10 answers.
d. One digit from the random digit table simulates one answer, with 0 or 1 = correct and all other digits = incorrect, ignoring repeats. Ten digits from the table simulate 10 answers.
e. Two digits from the random digit table simulate one answer, with 00 to 20 = correct and 21 to 99 = incorrect. Ten pairs of digits from the table simulate 10 answers.
Birth weights Researchers in Norway analyzed data on the birth weights of 400,000 newborns over a 6-year period. The distribution of birth weights is approximately Normal with a mean of 3668 grams and a standard deviation of 511 grams.
a. Sketch a graph that displays the distribution of birth weights for this population.
b. Sketch a possible graph of the distribution of birth weights for an SRS of size $5 . Calculate the range for this sample.
In this population, the range (Maximum - Minimum) of birth weights is 3417 grams. We technology to take 500 SRSs of size and calculate the range (Maximum Minimum) for each sample. The dotplot shows the results.
The number of flaws per square yard in a type of carpet material varies with mean flaws per square yard and standard deviation flaws per square yard.
a. Without doing any calculations, explain which event is more likely:
b. Explain why you cannot use a Normal distribution to calculate the probability of the first event in part (a).
c. Calculate the probability of the second event in part (a).
According to the U.S. Census, the proportion of adults in a certain county who owned their own home was 0.71. An SRS of 100 adults in a certain section of the county found that 65 owned their home. Which one of the following represents the approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?
a.
b.
c.
d.
e.
Sample proportions List all possible SRSS of size , calculate the proportion of red cars in the sample, and display the sampling distribution of the sample proportion on a dotplot. Is the sample proportion an unbiased estimator of the population proportion? Explain your answer.
| COLOR | AGE |
| RED | |
| WHITE | |
| SILVER | |
| RED |
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