Exam 9: Hypothesis Tests

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More evidence against H0 is indicated by

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B

When using Excel to calculate a p-value for an upper-tail hypothesis test, the following must be used

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B

Bastien, Inc. has been manufacturing small automobiles that have averaged 50 miles per gallon of gasoline in highway driving. The company has developed a more efficient engine for its small cars and now advertises that its new small cars average more than 50 miles per gallon in highway driving. An independent testing service road-tested 36 of the automobiles. The sample showed an average of 51.5 miles per gallon. The population standard deviation is 6 miles per gallon. a.With a 0.05 level of significance, test to determine whether or not the manufacturer's advertising campaign is legitimate. b.What is the p-value associated with the sample results?

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a.H0: 50
Ha: 50 z 1.5, therefore, do not reject H0, there is not sufficient evidence at .05 to conclude that the new cars average more than 50 miles per gallon.
b.0.0668

In tests about a population proportion, p0 represents the

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In hypothesis testing, the critical value is

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A Type I error is committed when

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When using Excel to calculate a p-value for a lower-tail hypothesis test, the following must be used

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The rejection region for a one-tailed hypothesis test

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An example of statistical inference is

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The level of significance in hypothesis testing is the probability of

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A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 25 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces, with a standard deviation of 0.24 ounces. With a 0.05 level of significance, test to see if the machine is in perfect adjustment. Assume the distribution of the population is normal.

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If a hypothesis is not rejected at a 5% level of significance, it will

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Exhibit 9-1 Exhibit 9-1    -Refer to Exhibit 9-1. The p-value is -Refer to Exhibit 9-1. The p-value is

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A new soft drink is being market tested. A sample of 400 individuals participated in the taste test and 80 indicated they like the taste. a.At a 5% significance level, test to determine if at least 22% of the population will like the new soft drink. b.Determine the p-value.

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Excel's __________ function can be used to calculate a p-value for a hypothesis test when is unknown.

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Exhibit 9-4 A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to determine if the average age of all the students at the university is significantly different from 24. Assume the distribution of the population of ages is normal with a standard deviation of 2 years. -Refer to Exhibit 9-4. At a .05 level of significance, it can be concluded that the mean age is

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A Type II error is committed when

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A two-tailed test is a

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A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. The population standard deviation is 5.6 days. a.State the null and alternative hypotheses. b.Using a critical value, test the null hypothesis at the 5% level of significance. c.Using a p-value, test the hypothesis at the 5% level of significance. d.Compute the probability of a Type II error if the true average delivery time is 17 days after purchase.

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The school's newspaper reported that the proportion of students majoring in business is at least 30%. You plan on taking a sample to test the newspaper's claim. The correct set of hypotheses is

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