(Questions 1-7) Use the information below, which presents the worldwide gross revenue ( in $1,000,000s) for all 2005-2007 movies released in the summer and at other times (i.e., spring, fall, winter) for these questions. Assume that worldwide gross revenue is normally distributed and that the variances for summer movies and other movies are different. Compute a directional hypothesis test (i.e., a one tailed test) based on the theory that summer movies earn more amount than other movies, on average. Use an alpha= 0.05 level
x̄summer =127.5 S2summer=32,870 Nsummer= 128
x̄other=93.9 S2other=21,228 Nother=373
For the Question above find above find
(1). State hypotheses
H0 =
H1=
(2) State the mean for each group
(a) Summer
(b) Other
(3) State the variance for each group
(a) Summer
(b) Other
(4) Find standard error for the difference between means
(5) Compute the t ratio
(6) Determine critical t value
(7) Make a decision
(Questions 8-14) Use the information below, which presents the return on investment (= Worldwide Gross/ Total Budget) for movies released in the summer and at other times (i.e, spring, fall, winter), for these questions. Assume that return on investment is normally distributed and that the variances for summer movies and other movies are the same. Compute a non-directional hypothesis test (i.e., a two tailed test) based on the theory that summer movies earn a different return than other movies, on average. Use an alpha=0.01 level.
x̄summer =3.21 S2summer=16.43 Nsummer= 128
x̄other=3.15 S2other=18.49 Nother=373
8. State Hypotheses
H0 =
H1=
9. State the mean for each group
c. Summer
d. Other
10. State the variance for each group
c. Summer
d. Other
11. Find standard error for the difference between means
12. Compute the t ratio
13. Determine critical t value
14. Make a decision
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