Your boastful roommate claims that fans for the Chicago Bears (the city’s football team) are simply...

Your boastful roommate claims that fans for the Chicago Bears (the city’s football team) are simply more intelligent than the average person. With your newly-developed statistical tools, you decide to put this hypothesis to the test. You know that the standard intelligence quotient (IQ) score has a population mean of 100 with a standard deviation of 15. You find that a random sample of 121 Bears fans has an average IQ score of 103. Use this evidence to test your roommate’s argument that Bears fans are more intelligent than the general population.

(1 point) In symbols or words, what is the null hypothesis for this test? _____________

(1 point) In symbols or words, what is the alternative hypothesis for this test? _______

(1 point) Is this a one-sided or two-sided test? How do you know? _________________

(1 point) Will you use a z-test or a t-test in this situation? Why? ___________________

(1 point) What is the critical value of the test statistic given an α level of 0.05? ______

(2 points) What is the value of the test statistic calculated from the sample results?

(2 points) What is your decision about the null hypothesis, and what does this indicate about the intelligence of Bears fans relative to the average person?________________

(3 points) Would your decision be different if you used an alpha level of .01? Explain.

Expert Solution

orchestra answered 1 year ago

The coach of a very popular men’s basketball team claims that the average distance the fans...

The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for...

9) The owner of a football team claims that the average attendance at games is over...

9) The owner of a football team claims that the average attendance at games is over 523, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. A) There is sufficient evidence to support the claim that the mean attendance is less than 523. B) There...

Scenario: A team owner has threatened to move her professional football team from your city to...

Scenario: A team owner has threatened to move her professional football team from your city to another city if you do not build a new stadium. As mayor of the city, you need to figure out whether it is worth raising the money through public sources (e.g., bonds, taxes) to keep the team or whether it is not worth the money to keep the team in the area. Using the information in chapter 11 on capital budgeting, write a five-page...

Assume that you have recently purchased a season pass for your favorite football team just like...

Assume that you have recently purchased a season pass for your favorite football team just like you have been doing for the last 5 years. Suppose that the number of times you expect to go to the games in a season is normally distributed with a mean of 10 games and a standard deviation of 2.4 games. a. What is the probability that you will attend to at least 15 games this season? b. What is the probability that the...

Suppose the management claims that the proportion of games that your team wins when scoring 80...

Suppose the management claims that the proportion of games that your team wins when scoring 80 or more points is 0.50. You tested this claim using a 5% level of significance. Explain the steps you took to test this problem and interpret your results. See Step 5 in the Python script to address the following items: In general, how is hypothesis testing used to test claims about a population proportion? Summarize all important steps of the hypothesis test. This includes:...

Question