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The manufacturer of the ColorSmart-5000 television set claims that 95 percent of its sets last at least five years without needing a single repair. In order to test this claim, a consumer group randomly selects 400 consumers who have owned a ColorSmart-5000 television set for five years. Of these 400 consumers, 316 say that their ColorSmart-5000 television sets did not need repair, while 84 say that their ColorSmart-5000 television sets did need at least one repair.
• a.: Letting p be the proportion of ColorSmart-5000 television sets that last five years without a single repair, set up the null and alternative hypotheses that the consumer group should use to attempt to show that the manufacturer's claim is false.
• b.: Use critical values and the previously given sample information to test the hypotheses you set up in part α by setting α equal to .10, .05, .01, and .001. How much evidence is there that the manufacturer's claim is false?
• c.: Do you think the results of the consumer group's survey have practical importance? Explain your opinion.
If the sum of the squared deviations about the regression line is SSE = 40.0, what is the coefficient of determination?
State the appropriate hypotheses. Obtain a test statistic and p-value. Interpret the results at ? = .01. Is normality assured? Is the difference large enough to be important?
A cereal manufacturer sells boxes of cereal that list the weight as 19 oz. A random sample of 60 boxes was taken, with the contents carefully weighed.
206 randomly selected light bulbs were tested in a laboratory, 161 lasted more than 500 hours. Find a point estimate of the proportion of all light bulbs that last more than 500 hours.
A sample of 12 homes sold last week in St Paul, Minnesota, is selected. The results are shown below and create a scatterplot. Insert the trendline into the graph and show the regression equation.
One day, you notice your 6' 2" roommate's size 12 shoes and comment, "I think height and foot size are correlated". You're somewhat surprised (and irked) by his response, "I think short people have big mouths."
Under older Federal Aviation Administration rules, airlines had to estimate the weight of a passenger as 185 pounds. That amount is for an adult traveling in winter, and it includes 20 pounds of carry-on baggage.
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions. a) What is the probability of completing the e..
If you draw one ball from the urn what is the probability that it is blue or white?
Determine whether descriptive or inferential statistics have been used in the statement below:
The times needed to fall asleep are assumed to follow a normal distribution. The results for the two nights for the ten volunteers are shown below:
Make a stem plot for the men height data. Calculate the five-number summary for the women.
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