Question 887316: True / False Questions:
a. When developing a confidence interval estimate, the confidence level is calculated based on the size of the sample and the population standard deviation.
b. A point estimate for the population mean will always fall within the confidence interval estimate.
c. Statement of the null hypothesis always contains equality.
d. A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 15 to 19. If the same sample had been used to test the null hypothesis that the mean of the population is equal to 20 versus the alternative hypothesis that the mean of the population differs from 20, the null hypothesis could be rejected at a level of significance of 0.05.
e. A one-tailed hypothesis for a population mean in large sample with a significance level equal to .05 will have a critical value equal to z = .45.
f. In a one-tailed hypothesis test, the larger the significance level, the greater the critical value
will be.
g. A large tire manufacturing company has claimed that its top line tire will average more than 80,000 miles. If a consumer group wished to test this claim, the research hypothesis would be Ha:u > 80000 miles.
h. The director of the city Park and Recreation Department claims that the mean distance
people travel to the city’s greenbelt is more than 5.0 miles. Assuming that the population
standard deviation is known to be 1.2 miles and the significance level to be used to test the
hypothesis is 0.05 when a sample size of n = 64 people are surveyed, the critical value is approximately 4.75 miles.
i. If I reject H0 at level of x for a one sided test, then I must necessarily reject H0 for a two sided test at the same level of x.
j. If I increase x, then it is more probable that I will reject H0.
k. The larger the sample size in an estimation application, the lower the confidence level
used by a decision maker in most cases will be.
l. Two confidence interval estimates were developed from the same sample from a
population. The wider interval will be the one that has the highest confidence level.
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! I'll do the first three to get you started
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a. When developing a confidence interval estimate, the confidence level is calculated based on the size of the sample and the population standard deviation.
FALSE. The confidence level is something that is independent of the sample size and population standard deviation. You can set the confidence level to anything you want (between 0% and 100%, excluding the endpoints). The larger the confidence level, the higher the probability the population parameter you are estimating is in the confidence interval.
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b. A point estimate for the population mean will always fall within the confidence interval estimate.
TRUE. The point estimate for any parameter ALWAYS is the center of the confidence interval. It's part of what you need to construct the confidence interval.
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c. Statement of the null hypothesis always contains equality.
TRUE. The null hypothesis must have an equality so you know what the distribution looks like (specifically, so you know where the distribution is centered)
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