A survey is conducted in one U.S. state in 2013, asking 450 respondents of voting age their views about how their Senators performed on the budget impasse. One of the items in the survey asks the respondents to rate their feelings towards their junior Senator on a scale from 0 (very cold/negative) to 50 (neutral) to 100 (very positive/warm). The distribution of data is surprisingly normal. The calculated values for these 450 individuals are as follows:

Mean = 45.8 degrees

Standard deviation= 9.2 degrees

1. Use the sampling mean Z-score formula to answer these questions. You may round off to

the nearest Z-score (two decimal places) to figure out your answer:

Let’s assume, for the sake of argument (and this assignment), that these 450 respondents are a random sample taken from the entire voting age population in that state. Use the same mean and standard deviation.

a. using 95% confidence interval tests, what would you estimate the true mean rating to be of the entire population from which this sample was randomly drawn? (the two normal curve model works here)

b. would you be able to confidently reject 50 or more degrees as a possibility in the entire

population? Why or why not?

c. would you be able to confidently reject 45 degrees as a possibility? Why or why not?

d. would you be able to reject 45 degrees as a possibility if the sample size were 1000?

e. can you state with absolute confidence exactly what the Senator’s mean rating to be in the entire population from which this sample was randomly drawn? Why or why not?

Subject | Mathematics |

Due By (Pacific Time) | 11/13/2013 01:00 am |

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