6. The manufacturer of the ColourSmart television claims that 85% of its sets la at least five years without needing a single repair. In order to test this claim, a consumer group randomly selected 400 consumers who have owned a ColourSmart television set for five years. Of these 400 consumers, 65 say that their ColourSmart television sets did need at least one repair. a. Obtain the point estimate for the proportion of all ColourSmart television sets that have lasted at least five years without needing a single repair. * Your answer b. Determine whether the condition is satisfied to use the large sample formula of the confidence interval of the population proportion. (Check the assumption to use Z distribution) Your answer C. Find a 99% confidence interval for the true proportion of all ColourSmart television sets that have lasted at least five years without needing a single repair. (Type your answer in this format: Margin error%3D 99% CI =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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6. The manufacturer of the ColourSmart television claims that 85% of its sets last
at least five years without needing a single repair. In order to test this claim, a
consumer group randomly selected 400 consumers who have owned a
ColourSmart television set for five years. Of these 400 consumers, 65 say that
their ColourSmart television sets did need at least one repair.
a. Obtain the point estimate for the proportion of all ColourSmart television sets
that have lasted at least five years without needing a single repair.
Your answer
b. Determine whether the condition is satisfied to use the large sample formula
of the confidence interval of the population proportion. (Check the assumption
to use Z distribution)
Your answer
c. Find a 99% confidence interval for the true proportion of all ColourSmart
television sets that have lasted at least five years without needing a single repair,
this format: Margin error =
(Type your answer
99% CI =
Transcribed Image Text:6. The manufacturer of the ColourSmart television claims that 85% of its sets last at least five years without needing a single repair. In order to test this claim, a consumer group randomly selected 400 consumers who have owned a ColourSmart television set for five years. Of these 400 consumers, 65 say that their ColourSmart television sets did need at least one repair. a. Obtain the point estimate for the proportion of all ColourSmart television sets that have lasted at least five years without needing a single repair. Your answer b. Determine whether the condition is satisfied to use the large sample formula of the confidence interval of the population proportion. (Check the assumption to use Z distribution) Your answer c. Find a 99% confidence interval for the true proportion of all ColourSmart television sets that have lasted at least five years without needing a single repair, this format: Margin error = (Type your answer 99% CI =
9. Given the following null and alternative hypotheses. (Note: The population
standard deviations are assumed to be known.) HO : u1 s µ2 versus H1: µ1 > µ2
The sample means for the two populations are shown as follows:
n1 = 40; xbar1 = 144; o1 = 11
n2 = 50; xbar2 = 129 ; 02 = 16
Conduct a hypothesis test using an alpha equal to 0.05. (Provide all required
steps) *
Your answer
Transcribed Image Text:9. Given the following null and alternative hypotheses. (Note: The population standard deviations are assumed to be known.) HO : u1 s µ2 versus H1: µ1 > µ2 The sample means for the two populations are shown as follows: n1 = 40; xbar1 = 144; o1 = 11 n2 = 50; xbar2 = 129 ; 02 = 16 Conduct a hypothesis test using an alpha equal to 0.05. (Provide all required steps) * Your answer
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