Exam 10: One-Sample Tests of Hypothesis

Assuming that the null hypothesis is true,a p-value is the probability of observing a sample value as extreme as,or more extreme than,the observed sample observation.

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0,7.3,6.0,8.8,6.8,8.4,and 6.6 pounds. What is the decision for a statistical significant change in average weights at birth at the 5% level of significance?

The average cost of tuition plus room and board for a small private liberal arts college is reported to be $8,500 per term,but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α = 0.05. What is the p-value for this test?

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0,7.3,6.0,8.8,6.8,8.4,and 6.6 pounds. What is the sample mean?

A machine is set to fill the small-size packages of M&M candies with 56 candies per bag. A sample revealed three bags of 56,two bags of 57,one bag of 55,and two bags of 58. To test the hypothesis that the mean candies per bag is 56,how many degrees of freedom are there?

Define the level of significance.

What is the probability of making a Type II error if the null hypothesis is actually true?

To conduct a test of hypothesis with a small sample,we make an assumption that ________.

Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to increase daily sales. To determine the effectiveness of the advertising campaign,a sample of 49 days of sales were taken. They found that the average daily sales were $6,400 per day. From past history,the restaurant knew that its population standard deviation is about $1,000. The value of the test statistic is ________.

The researcher must decide on the level of significance before formulating a decision rule and collecting sample data.

The probability of a Type II error is represented by ________.

For a one-tailed test with a 0.05 level of significance,the critical z-statistic is 1.645,but the critical t-statistic is 1.96.

A Type II error is the probability of rejecting the null hypothesis when it is actually true.

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0,7.3,6.0,8.8,6.8,8.4,and 6.6 pounds. What is the sample variance?

The mean annual incomes of certified welders are normally distributed with the mean of $50,000 and a population standard deviation of $2,000. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. The alternate hypothesis is that the mean is not $50,000. If the level of significance is 0.10,what is the critical value?

Which of the following is not one of the six steps in the hypothesis testing procedure?

The average cost of tuition and room and board for a small private liberal arts college is reported to be $8,500 per term,but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α = 0.05. What are the null and alternative hypotheses for this study?

A p-value is the same as a stated significance level.

The average cost of tuition plus room and board at for a small private liberal arts college is reported to be $8,500 per term,but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α = 0.05. What is the test statistic for this test?

If the critical z-value for a hypothesis test equals 2.45,what value of the test statistic would provide the least chance of making a Type I error?