Exam 9: Hypothesis Tests

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In hypothesis testing if the null hypothesis is rejected,

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A tire manufacturer has been producing tires with an average life expectancy of 26,000 miles.Now the company is advertising that its new tires' life expectancy has increased.In order to test the legitimacy of the advertising campaign,an independent testing agency tested a sample of 6 of their tires and has provided the following data. A tire manufacturer has been producing tires with an average life expectancy of 26,000 miles.Now the company is advertising that its new tires' life expectancy has increased.In order to test the legitimacy of the advertising campaign,an independent testing agency tested a sample of 6 of their tires and has provided the following data.     a.Determine the mean and the standard deviation. b.At 99% confidence using the critical value approach,test to determine whether or not the tire company is using legitimate advertising.Assume the population is normally distributed. c.Repeat the test using the p-value approach. a.Determine the mean and the standard deviation. b.At 99% confidence using the critical value approach,test to determine whether or not the tire company is using legitimate advertising.Assume the population is normally distributed. c.Repeat the test using the p-value approach.

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For a one-tailed test (upper tail),a sample size of 26 at 90% confidence,t =

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The sum of the values of α\alpha and β\beta

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A group of young businesswomen wish to open a high fashion boutique in a vacant store but only if the average income of households in the area is at least $25,000.A random sample of 9 households showed the following results. A group of young businesswomen wish to open a high fashion boutique in a vacant store but only if the average income of households in the area is at least $25,000.A random sample of 9 households showed the following results.     Assume the population of incomes is normally distributed.  a.Compute the sample mean and the standard deviation. b.State the hypotheses for this problem. c.Compute the test statistic. d.At 95% confidence using the p-value approach,what is your conclusion? Assume the population of incomes is normally distributed. a.Compute the sample mean and the standard deviation. b.State the hypotheses for this problem. c.Compute the test statistic. d.At 95% confidence using the p-value approach,what is your conclusion?

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The p-value

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Exhibit 9-6 A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years.We want to determine if the average age of all the students at the university is significantly more than 24.Assume the distribution of the population of ages is normal. -Refer to Exhibit 9-6.At 95% confidence,it can be concluded that the mean age is

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An official of a large national union claims that the fraction of women in the union is not significantly different from one-half.Using the critical value approach and the sample information reported below,carry out a test of this statement.Let α\alpha = 0.05.  An official of a large national union claims that the fraction of women in the union is not significantly different from one-half.Using the critical value approach and the sample information reported below,carry out a test of this statement.Let  \alpha  = 0.05.

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Exhibit 9-1 Exhibit 9-1    -Refer to Exhibit 9-1.The test statistic is -Refer to Exhibit 9-1.The test statistic is

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If a hypothesis is rejected at the 5% level of significance,it

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The p-value is a probability that measures the support (or lack of support)for the

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For a one-tailed test (lower tail)with 22 degrees of freedom at 95% confidence,the value of t =

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The level of significance

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