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Exam 10: One-Sample Tests of Hypothesis

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Question 1

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If the null hypothesis is false and the researchers do not reject it,a Type I error has been made.

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Question 2

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What statement do we make that determines if the null hypothesis is rejected?

A) Decision rule
B) Test statistic
C) Alternate hypothesis
D) Critical value

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Question 3

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In hypothesis testing,what is the level of significance?

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 standard deviation?

Hypothesis testing is a procedure that uses sample evidence and probability theory to decide whether to reject or fail to reject a hypothesis.

What is another name for the alternate hypothesis?

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. If α = 0.05,what is the critical t-value?

An example of a hypothesis is: A person is innocent until proven guilty.

If the null hypothesis is µ ≥ 200,then a two-tail test is being conducted.

Using a 5% level of significance and a sample size of 25,what is the critical t-value for a null hypothesis,H₀: µ ≤ 100?

Consider a right-tailed test (upper tail) and a sample size of 40 at the 95% confidence level. The value of t is ________.

The mean annual income of certified welders is normally distributed with a 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 decision rule?

A p-value is a probability.

Which symbol represents a test statistic used to test a hypothesis about a population mean?

A consumer products company wants to increase the absorption capacity of a sponge. Based on past data,the average sponge could absorb 3.5 ounces. After the redesign,the absorption amounts of a sample of sponges were (in ounces) : 4.1,3.7,3.3,3.5,3.8,3.9,3.6,3.8,4.0,and 3.9. At the 0.01 level of significance,what is the decision rule to test if the new design increased the absorption of the sponge?

What is a Type II error?

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 critical z-value for this test?

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. A sample of 100 welders is taken and the mean annual income of the sample is $50,350. If the level of significance is 0.10,what conclusion should be drawn?

A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed,a sample of nine boxes of cake mix gave these shelf lives (in days) : 215,217,218,219,216,217,217,218,and 218. Using α = 0.025,has the shelf life of the cake mix increased?

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. A sample of 100 welders is taken and the mean annual income of the sample is $50,350. If the level of significance is 0.05,what conclusion should be drawn?