Question

each I. IH of f the ollowing scenarios state whether you would use a: Z-test, T-test, One-Proportion Z-test, mple Z-test, Two-Sample T-test, Two-Proportion Z-test, or Matched Pair Test to test the given claim. You DO NOT have to perform the test. Simply state the test you wou ld use. Note: Ifyou would use he differences in a matched pair test, say that you would use a matched pair test. a) A quality-control manager at an amusement park feels that the amount of time that people spend waiting in line for a particular roller coaster is too long. To determine if a new loading/unloading procedure is effective in reducing wait time in line, he measures the amount of time (in minutes) people are waiting in line at 30 randomly selected times. After implementing the new procedure, he again measures the amount of time (in minutes) people are waiting in line at the same 30 times. The quality-control manager wants to use a statistical test to determine if the new loading/unloading procedure is effective in reducing wait time (b) A producer of a sprinkler system designed for fire protection claims that the average activating temperature is 135°F. You test to see if the true value of the mean is higher than 135°F by taking a random sample of 32 systems. The mean temperature is 136°F with a sample standard deviation of 33°F. At a 5% level of significance, do you have enough evidence to reject the manufacturer's claim? (c) In a random survey of 1000 U.S. adults in 2007, 570 said it is likely that life exists on other planets. In a recent year, in a random survey of 1000 U.S. adults, 530 said it is likely that life exists on other planets At a 5% level of significance, can you support the claim that the proportion of US, adults who believe it is likely that life exists on other planets is less now than in 2007? (d) According to work done by Nick Wilson of Otago University Wellington, the proportion of individuals who cover their mouth when sneezing is 0.733. Mary is suspicious of Wilson's findings and decides to est if there is enough evidence to conclude that the proportion is lower. Mary observes the sneezes of 100 randomly selected individuals and finds that 68 covered their mouth when sneezing. Does the sample evidence contradict Professor Wilson's findings at a 10% level of significance?

Answer 1

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