# MATHEMATICS

41)  The grade point averages for 10 randomly selected high school students are listed below. Assume the grade point averages are normally distributed.

2.0   3.2   1.8   2.9   0.9   4.0   3.3   2.9   3.6   0.8

Find a 98% confidence interval for the true mean. 41)  _______

A) (1.55, 3.53) B)  (0.67, 1.81) C)  (2.12, 3.14) D)  (3.11, 4.35)

42)  A local bank needs information concerning the checking account balances of its customers. A random sample of 15 accounts was checked. The mean balance was \$686.75 with a standard deviation of \$256.20. Find a 98% confidence interval for the true mean. Assume that the account balances are normally distributed. 42)  _______

A) (\$513.17, \$860.33) B)  (\$238.23, \$326.41)

C) (\$326.21, \$437.90) D)  (\$487.31, \$563.80)

43)  When  475 college students were surveyed, 125 said they own their car. Find a point estimate for p, the population proportion of students who own their cars. 43)  _______

A)  0.263 B)   0.737 C)   0.357 D)   0.208

44)  A survey of 100 fatal accidents showed that  11 were alcohol related. Find a point estimate for p, the population proportion of accidents that were alcohol related. 44)  _______

A)  0.11 B)   0.89 C)   0.124 D)   0.099

45)  A survey of  500 non-fatal accidents showed that  118 involved the use of a cell phone. Find a point estimate for p, the population proportion of accidents that involved the use of a cell phone. 45)  _______

A)  0.236 B)   0.764 C)   0.309 D)   0.191

46)  A survey of 250 households showed  37 owned at least one gun. Find a point estimate for p, the population proportion of households that own at least one gun. 46)  _______

A)  0.148 B)   0.852 C)   0.174 D)   0.129

47)  A survey of  2490 golfers showed that  347 of them are left-handed. Find a point estimate for p, the population proportion of golfers that are left-handed. 47)  _______

A)  0.139 B)   0.861 C)   0.162 D)   0.122

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question.

48)  When  385 college students were surveyed,  160 said they own their car. Construct a 95% confidence interval for the proportion of college students who say they own their cars. 48)  _____________

49)  A survey of  600 non-fatal accidents showed that  166 involved the use of a cell phone. Construct a 99% confidence interval for the proportion of fatal accidents that involved the use of a cell phone. 49)  _____________

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