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Please answer the following questions clearly so I can read it, indicate the formula you are using, and please draw a diagram according to your

Please answer the following questions clearly so I can read it, indicate the formula you are using, and please draw a diagram according to your results? Thank you

  1. A random sample of 15 hourly fees for car washers (including tips) was drawn from a normal population. The sample mean and sample standard deviation were= $14.9 ands= $6.75. Can we infer at the 5% significance level that the mean fee for car washers (including tips) is greater than 12?
  2. A social researcher claims that the average adult listens to the radio less than 26 hoursper week. He collects data on 25 individuals' radio listening habits and finds that the mean number of hours that the 25 people spent listening to the radio was 22.4 hours. If the population standard deviation is known to be eight hours, can we conclude at the 1% significance level that he is right?

A scatter diagram includes the following data points:

x 3 2 5 4 5

y 8 6 12 10 14

One regression model is proposed:y=1.2+2.5x

a) Calculate the standard error of estimate.

b) Using another method, another regression line was proposed:. y=4.0x. The SSE (sum of squares of error) of the line is 156. Which of the two lines is a better fit for the data? Why?

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