A student scores 62 on a geography test and 261 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 15. The mathematics test has a mean of 300 and a standard deviation of 26.
If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class? A) The student scored better on the geography test.
B) The student scored better on the mathematics test.
C) The student scored the same on both tests.
Question 2
To help consumers assess the risks they are taking, the Food and Drug Administration (FDA ) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed.
The FDA tests on this cigarette gave a mean nicotine content of 28.5 milligrams and standard deviation of 2.2 milligrams for a sample of n = 9 cigarettes. The FDA claims that the mean nicotine content exceeds 31.2 milligrams for this brand of cigarette, and their stated reliability is 95. Do you agree? A) No, since the value 31.2 does not fall in the 95 confidence interval.
B) Yes, since the value 31.2 does fall in the 95 confidence interval.
C) Yes, since the value 31.2 does not fall in the 95 confidence interval.
D) No, since the value 31.2 does fall in the 95 confidence interval.
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