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front 1 In a certain class of students, there are 11 boys from Wilmette, 6
girls from Winnetka, 7 girls from Wilmette, 4 boys from Glencoe, 2
boys from Winnetka and 9 girls from Glenoce. If the teacher calls upon
a student to answer a question, what is the probability that the
student will be a boy? | back 1 B) 0.436 |

front 2 The diameters of bolts produced by a certain machine are normally
distributed with a mean of 0.30 inches and a standard deviation of
0.01 inches.What percentage of bolts will have a diameter greater than
0.32 inches? | back 2 A) 2.28% |

front 3 A sample of 100 wood and 100 graphite tennis rackets are taken from
the warehouse. If 9 wood and 14 graphite are defective and one racket
is randomly selected from the sample, find the probability that the
racket is wood or defective. | back 3 C) 0.57 |

front 4 In one town, 61% of adults have health insurance.What is the
probability that 6 adults selected at random from the town all have
health insurance | back 4 D) 0.052 |

front 5 Assume that a hypothesis test of the given claim will be conducted.
Identify the type I or type II error for the test. | back 5 B) Reject the claim that the mean weight is 14 oz when it is actually 14 oz. |

front 6 Use the given data to find the equation of the regression line. | back 6 B)y^= 11.7 + 1.02x |

front 7 The probability that z lies between -1.10 and -0.36 | back 7 D) 0.2237 |

front 8 According to a college survey, 22% of all students work full time.
Find the mean for the number of students who work full time in samples
of size 16. | back 8 C) 3.5 |

front 9 A student earned grades of 91, 76, 92, and 79 on her four regular
tests. She earned a grade of 79 on the final exam and 85 on her class
projects. Her combined homework grade was 87. The four regular tests
count for 40% of the final grade, the final exam counts for 30%, the
project counts for 10%, and homework counts for 20%.What is her
weighted mean grade? Round to one decimal place. | back 9 C) 83.4 |

front 10 The annual precipitation amounts in a certain mountain range are
normally distributed with a mean of 95 inches, and a standard
deviation of 16 inches.What is the probability that the mean annual
precipitation during 64 randomly picked years will be less than 97.8
inches? | back 10 C) 0.9192 |

front 11 The probabilities that a batch of 4 computers will contain 0, 1, 2,
3, and 4 defective computers are 0.4979, 0.3793, 0.1084, 0.0138, and
0.0007, respectively. Find the standard deviation for the probability
distribution. | back 11 B) σ = 0.73 |

front 12 Construct the cumulative frequency distribution that corresponds to the given frequency distribution. | back 12 |

front 13 A health and fitness club surveys 40 randomly selected members and
found that the average weight of those questioned is 157 lb. | back 13 A) Statistic |

front 14 How many women must be randomly selected to estimate the mean weight
of women in one age | back 14 A) 180 |

front 15 Human body temperatures are normally distributed with a mean of
98.20°F and a standard deviation of 0.62°F. Find the temperature that
separates the top 7% from the bottom 93%. Round to the nearest
hundredth of a degree. | back 15 A) 99.12°F |

front 16 Six pairs of data yield r = 0.444 and the regression equation y^ = 5x
+ 2. Also, y- = 18.3. What is the best predicted value of y for x = 5? | back 16 C) 18.3 |

front 17 The prizes that can be won in a sweepstakes are listed below together
with the chances of winning each one: $3800 (1 chance in 8600); $1700
(1 chance in 5400); $700 (1 chance in 4600); $200 (1 chance in 2600).
Find the expected value of the amount won for one entry if the cost of
entering is 55 cents. | back 17 D) $0.44 |

front 18 Find the standard deviation for the given sample data. Round your
answer to one more decimal place than is present in the original data. | back 18 C) 43.1 |

front 19 Use the given degree of confidence and sample data to construct a
confidence interval for the population proportion p. | back 19 B) 0.191 < p < 0.421 |

front 20 The principal randomly selected six students to take an aptitude
test. Their scores were: | back 20 C) 74.99 < μ < 83.28 |

front 21 An airline claims that the no-show rate for passengers booked on its
flights is less than 6%. Of 380 randomly selected reservations, 18
were no-shows. Find the P-value for a test of the airline's claim. | back 21 D) 0.1492 |

front 22 A random sample of 139 forty-year-old men contains 26% smokers. Find
the P-value for a test of the claim that the percentage of
forty-year-old men that smoke is 22%. | back 22 C) 0.2542 |

front 23 The total number of phone calls a sales representative makes in a
month is 425. | back 23 A) Discrete |

front 24 A car insurance company has determined that 9% of all drivers were
involved in a car accident last year. Among the 11 drivers living on
one particular street, 3 were involved in a car accident last year. If
11 drivers are randomly selected, what is the probability of getting 3
or more who were involved in a car accident last year? | back 24 A) 0.070 |

front 25 A study conducted at a certain college shows that 59% of the school's
graduates find a job in their chosen field within a year after
graduation. Find the probability that among 6 randomly selected
graduates, at least one finds a job in his or her chosen field within
a year of graduating. | back 25 A) 0.995 |

front 26 Use the given data to find the minimum sample size required to
estimate the population proportion. | back 26 A) 45,065 |

front 27 A laboratory tested 82 chicken eggs and found that the mean amount of
cholesterol was 238 milligrams with σ = 19.4 milligrams. Construct a
95% confidence interval for the true mean cholesterol content, μ, of
all such eggs. | back 27 D) 234 mg < μ < 242 mg |

front 28 A manufacturer records the number of errors each work station makes
during the week. The data are as follows. | back 28 |

front 29 A department store, on average, has daily sales of $28,993.06. The
standard deviation of sales is $1000. On Tuesday, the store sold
$34,199.86 worth of goods. Find Tuesday's z score.Was Tuesday an
unusually good day? | back 29 D) 5.21, yes |

front 30 A company manager wishes to test a union leader's claim that absences occur on the different week days with the same frequencies. Test this claim at the 0.05 level of significance if the following sample data have been compiled. | back 30 H0: The proportions of absences are all the same. |

front 31 Responses to a survey question are broken down according to gender and the sample results are given below. At the 0.05 significance level, test the claim that response and gender are independent. | back 31 H0: Gender and response are independent. |

front 32 Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 60 temperatures on 60 different days. Assuming that σ = 1.5°C, test the claim that the population mean is 22°C. Use a 0.05 significance level. | back 32 H0: μ = 22; |

front 33 Assume that a simple random sample has been selected from a normally
distributed population. Find the test statistic, P-value, critical
value(s), and state the final conclusion. | back 33 α = 0.01 |

front 34 Assume that a simple random sample has been selected from a normally
distributed population and test the given claim. Use either the
traditional method or P-value method as indicated. Identify the null
and alternative hypotheses, test statistic, critical value(s) or
P-value (or range of P-values) as appropriate, and state the final
conclusion that addresses the original claim. | back 34 H0: μ = 520 hrs. |