Exam 13: Students T Test for Single Samples

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Write the number of the symbol shown in Column 1 in the space provided to the left of the term in Column 2 that it represents. Write the number of the symbol shown in Column 1 in the space provided to the left of the term in Column 2 that it represents.

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As N increases As N increases   becomes a _________ estimate of   . becomes a _________ estimate of As N increases   becomes a _________ estimate of   . .

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A researcher believes that women today weigh less than in previous years. To investigate this belief, she randomly samples 41 adult women and records their weights. The scores have a mean of 111 lbs. and a standard deviation of 12.4. A local census taken several years ago shows the mean weight of adult women was 115 lbs. A researcher believes that women today weigh less than in previous years. To investigate this belief, she randomly samples 41 adult women and records their weights. The scores have a mean of 111 lbs. and a standard deviation of 12.4. A local census taken several years ago shows the mean weight of adult women was 115 lbs.

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One wishes to investigate the hypothesis that exercise reduces systolic blood pressure. The population mean for the systolic blood pressure of people who do not exercise is 120 mmHg. A sample of 13 members of a local running club has a mean systolic blood pressure of 113 mmHg with a standard deviation of 9.2 mmHg. One wishes to investigate the hypothesis that exercise reduces systolic blood pressure. The population mean for the systolic blood pressure of people who do not exercise is 120 mmHg. A sample of 13 members of a local running club has a mean systolic blood pressure of 113 mmHg with a standard deviation of 9.2 mmHg.

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The mean of the t distribution equals _________.

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The t test for single samples is used when the population parameters µ and s are unknown.

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The t test differs from the z test in that _________.

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If r = 1.00, then r obt must equal 1.00.

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The confidence interval for the population mean is _________.

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"Degrees of freedom" for any statistic is defined as _________.

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We lose one degree of freedom in calculating _________.

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In general, the z test is more powerful than the t test because _________.

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The t test requires that the sampling distribution of t be normally distributed.

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Consider the following set of scores: 102, 102, 106, 105, 104, 104, 107, 108 Consider the following set of scores: 102, 102, 106, 105, 104, 104, 107, 108

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For N = 20, the value of r crit for a = 0.05 2 tail is _________.

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The t test is more sensitive than the z test.

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A researcher believes that women today weigh less than in previous years. To investigate this belief, she randomly samples 41 adult women and records their weights. The scores have a mean of 111 lbs. and a standard deviation of 12.4. A local census taken several years ago shows the mean weight of adult women was 115 lbs. What do you conclude, using the appropriate inference test and a = 0.01 1 tail ?

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  is an estimate of _________. is an estimate of _________.

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As the degrees of freedom increase, the correspondence between the t and z distributions _________.

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In general, if r ≠ 0, then r must not equal 0.

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