54% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 138 of the 299 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.01? a. For this study, we should use [z-test for a population proportion ✓ b. The null and alternative hypotheses would be: Ho: pv 0.55 H₁: p # c. The test statistic z 55 x (please enter a decimal) x (Please enter a decimal) = -2.724 x (please show your answer to 3 decimal places.)
54% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 138 of the 299 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.01? a. For this study, we should use [z-test for a population proportion ✓ b. The null and alternative hypotheses would be: Ho: pv 0.55 H₁: p # c. The test statistic z 55 x (please enter a decimal) x (Please enter a decimal) = -2.724 x (please show your answer to 3 decimal places.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Transcribed Image Text:54% of students entering four-year colleges receive a degree within six years. Is this percent different from
for students who play intramural sports? 138 of the 299 students who played intramural sports received a
degree within six years. What can be concluded at the level of significance of a = 0.01?
a. For this study, we should use [z-test for a population proportion ✓
b. The null and alternative hypotheses would be:
Ho: p✓
0.55
OB
H₁: pv #
c. The test statistic z
0€
-2.724
55
x (please enter a decimal)
x (Please enter a decimal)
x (please show your answer to 3 decimal places.)
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Need help with this, please Part d
Transcribed Image Text:The average production cost for major movies is 59 million dollars and the standard deviation is 19 million
dollars. Assume the production cost distribution is normal. Suppose that 6 randomly selected major movies
are researched. Answer the following questions. Give your answers in millions of dollars, not dollars.
Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X N 59
b. What is the distribution of ? N( 59.
7.7567
c. For a single randomly selected movie, find the probability that this movie's production cost is
between 56 and 59 million dollars. 0.0627
19
d. For the group of 6 movies, find the probability that the average production cost is between 56 and 59
million dollars. 0.1517
e. For part d), is the assumption of normal necessary? Yes No o
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