Question

1. Randomly selected statistics students participated in an experiment to test their ability to determine when 1 min has passed.  Forty students yielded a sample mean of 58.3 sec.  Assuming that s = 9.5 sec, use a 0.05 level of significance to test the claim that the population mean is equal to 60 sec.  Be sure and include the appropriate interval (for alpha = .05, it is a 95% confidence level) in your conclusion. Conduct a hypothesis test.

3. Assume we want to test the claim that the mean attendance in the arena is more than 20,000 fans.  In order to test this we selected 8 concerts at random and took the attendance from each concert. The sample average from those 8 concert was 20,450.  If we assume that we know the sample standard deviation is 500 fans.  Show all 6 steps in conducting a hypothesis test to test this claim as a normal distrubution. Include the appropriate confidence interval in the conclusion.

b. Conduct the test again showing all 6 steps accept assume now that we know sigma and that the value given is s = 500 fans .   

5. Assume the coach wanted a reliable estimate of her ability to play and allowed him to hit 10 rounds and took the average number of strokes of those 10 rounds.  His rounds were:

72             74           69           72           71           72            71            72            72            73

Is there sufficient evidence to suggest that her true average is less than 73?  Perform the 6 step hypothesis test at the alpha = .01 level of significance to find out!  You may assume that her round scores come from a normal distribution.   Be sure to include the appropriate confidence interval (the one that will always “agree” with your test) in your conclusion.

Answer 1

Question 1:

*** Dear student we answer one question once post remaining separately****