A manufacturer claims that a particular automobile will get at least 50 miles per gallon on the highway. The researchers at a consumer-oriented magazine plans to test this claim with a simple random sample of 30 cars. Assuming that the standard deviation betweenindividual cars is 2.3 miles per gallon, what should the researchers conclude if the sample mean is 49 miles per gallon?A. There is not sufficient evidence to reject the manufacturer’s claim; 49 miles per gallon is too close to the claimed 50 miles per gallon.B. The manufacturer’s claim should not be rejected because the p-value of 0.0086 is too small.C. The manufacturer’s claim should be rejected because the sample mean is less than the claimed mean.D. The p-value of 0.0086 is sufficient evidence to reject the manufacturer’s claim.Which of the following statements are true?I. If there is sufficient evidence to reject a null hypothesis at the 10% level, then there is sufficient evidence to reject it at the 5% level.II. Whether to use a one- or two-tailed test is typically decided after the data are gathered.III. If a hypothesis test is conducted at the 1% level of significance, there is a 1% chance of rejecting the null hypothesis.A. I only B. III only C. I and III only D. None of the above.A soft drink dispenser can be adjusted to deliver any fixed number of ounces of soft drink. If the machine is operating with a standard deviation of 0.3 ounces, what should the mean setting be so that a 12-ounce cup will overflow less than 1% of the time? Assume a normal distribution for ounces delivered.A. 11.23 oz. B. 11.30 oz. C. 11.70 oz. D. 12.70 oz.When a true null hypothesis is rejected in a hypothesis test, the researcher or analyst hasA. committed a Type I errorB. committed a Type II errorC. made the correct decision.D. to perform the study again.A tire manufacturer claims that its tires have a mean life of at least 50000 km. A random sample of 25 of these tires is tested and the mean life is 33000 km. Suppose the population standard deviation is 2500 km and the lives of tires is approximately normal. To test themanufacturer’s claim at the 5% level of significance, the analyst shouldA. perform a right-tailed test using the t statistic.B. perform a left-tailed test using the t statistic.C. perform a right-tailed test using the z statistic.D. perform a left-tailed test using the z statistic.

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A manufacturer claims that a particular automobile will get at least 50 miles per gallon on the highway. The researchers at a consumer-oriented magazine plans to test this claim with a simple random sample of 30 cars. Assuming that the standard deviation between
individual cars is 2.3 miles per gallon, what should the researchers conclude if the sample mean is 49 miles per gallon?
A. There is not sufficient evidence to reject the manufacturer’s claim; 49 miles per gallon is too close to the claimed 50 miles per gallon.
B. The manufacturer’s claim should not be rejected because the p-value of 0.0086 is too small.
C. The manufacturer’s claim should be rejected because the sample mean is less than the claimed mean.
D. The p-value of 0.0086 is sufficient evidence to reject the manufacturer’s claim.
Which of the following statements are true?
I. If there is sufficient evidence to reject a null hypothesis at the 10% level, then there is sufficient evidence to reject it at the 5% level.
II. Whether to use a one- or two-tailed test is typically decided after the data are gathered.
III. If a hypothesis test is conducted at the 1% level of significance, there is a 1% chance of rejecting the null hypothesis.
A. I only B. III only C. I and III only D. None of the above.
A soft drink dispenser can be adjusted to deliver any fixed number of ounces of soft drink. If the machine is operating with a standard deviation of 0.3 ounces, what should the mean setting be so that a 12-ounce cup will overflow less than 1% of the time? Assume a normal distribution for ounces delivered.
A. 11.23 oz. B. 11.30 oz. C. 11.70 oz. D. 12.70 oz.
When a true null hypothesis is rejected in a hypothesis test, the researcher or analyst has
A. committed a Type I error
B. committed a Type II error
C. made the correct decision.
D. to perform the study again.
A tire manufacturer claims that its tires have a mean life of at least 50000 km. A random sample of 25 of these tires is tested and the mean life is 33000 km. Suppose the population standard deviation is 2500 km and the lives of tires is approximately normal. To test the
manufacturer’s claim at the 5% level of significance, the analyst should
A. perform a right-tailed test using the t statistic.
B. perform a left-tailed test using the t statistic.
C. perform a right-tailed test using the z statistic.
D. perform a left-tailed test using the z statistic.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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