Exam 12: Introduction to Statistical Inference: Testing Hypotheses About Single Means Z and T

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When the number of degrees of freedom is very large,

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Given: Given:     If       is rejected, this means that If Given:     If       is rejected, this means that is rejected, this means that

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The schizophrenia scale on a widely used personality scale is standardized to have a mean of 50 for a national group of normal adults. You administer the scale to a random sample of 20 students from a large university and obtain the following results: The schizophrenia scale on a widely used personality scale is standardized to have a mean of 50 for a national group of normal adults. You administer the scale to a random sample of 20 students from a large university and obtain the following results:     Is there any reason to believe that the norms based on the national standardization group are inappropriate for college students? (a)Set up       and      (b)Determine the critical value(s) of      (c)Perform the statistical test.  (d)  Draw final conclusions. Is there any reason to believe that the norms based on the national standardization group are inappropriate for college students? (a)Set up The schizophrenia scale on a widely used personality scale is standardized to have a mean of 50 for a national group of normal adults. You administer the scale to a random sample of 20 students from a large university and obtain the following results:     Is there any reason to believe that the norms based on the national standardization group are inappropriate for college students? (a)Set up       and      (b)Determine the critical value(s) of      (c)Perform the statistical test.  (d)  Draw final conclusions. and The schizophrenia scale on a widely used personality scale is standardized to have a mean of 50 for a national group of normal adults. You administer the scale to a random sample of 20 students from a large university and obtain the following results:     Is there any reason to believe that the norms based on the national standardization group are inappropriate for college students? (a)Set up       and      (b)Determine the critical value(s) of      (c)Perform the statistical test.  (d)  Draw final conclusions. (b)Determine the critical value(s) of The schizophrenia scale on a widely used personality scale is standardized to have a mean of 50 for a national group of normal adults. You administer the scale to a random sample of 20 students from a large university and obtain the following results:     Is there any reason to believe that the norms based on the national standardization group are inappropriate for college students? (a)Set up       and      (b)Determine the critical value(s) of      (c)Perform the statistical test.  (d)  Draw final conclusions. (c)Perform the statistical test. (d) Draw final conclusions.

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The statistical hypothesis to be tested is called the

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Student's distribution of t has nothing to offer in obtaining relief from which problem, if any?

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The region of rejection typically appears where in the sampling distribution?

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If we test If we test     against       the region of rejection will be located against If we test     against       the region of rejection will be located the region of rejection will be located

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The criterion by which a decision is made about the null hypothesis is called

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A large suburban school district is contemplating instituting a special program to combat overweight in elementary school boys. In order to determine whether such a program is warranted, a random sample of 36 fourth-grade boys is selected. Then, for each boy the difference between his actual weight and the weight recommended for his height and age is recorded. A positive difference indicates overweight and a negative difference, underweight. The following results are obtained (in pounds): A large suburban school district is contemplating instituting a special program to combat overweight in elementary school boys. In order to determine whether such a program is warranted, a random sample of 36 fourth-grade boys is selected. Then, for each boy the difference between his actual weight and the weight recommended for his height and age is recorded. A positive difference indicates overweight and a negative difference, underweight. The following results are obtained (in pounds):       (a) Set up       and       . (b)Perform the statistical test (   (c)Draw final conclusions. (a) Set up A large suburban school district is contemplating instituting a special program to combat overweight in elementary school boys. In order to determine whether such a program is warranted, a random sample of 36 fourth-grade boys is selected. Then, for each boy the difference between his actual weight and the weight recommended for his height and age is recorded. A positive difference indicates overweight and a negative difference, underweight. The following results are obtained (in pounds):       (a) Set up       and       . (b)Perform the statistical test (   (c)Draw final conclusions. and A large suburban school district is contemplating instituting a special program to combat overweight in elementary school boys. In order to determine whether such a program is warranted, a random sample of 36 fourth-grade boys is selected. Then, for each boy the difference between his actual weight and the weight recommended for his height and age is recorded. A positive difference indicates overweight and a negative difference, underweight. The following results are obtained (in pounds):       (a) Set up       and       . (b)Perform the statistical test (   (c)Draw final conclusions. . (b)Perform the statistical test ( A large suburban school district is contemplating instituting a special program to combat overweight in elementary school boys. In order to determine whether such a program is warranted, a random sample of 36 fourth-grade boys is selected. Then, for each boy the difference between his actual weight and the weight recommended for his height and age is recorded. A positive difference indicates overweight and a negative difference, underweight. The following results are obtained (in pounds):       (a) Set up       and       . (b)Perform the statistical test (   (c)Draw final conclusions. (c)Draw final conclusions.

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When the value of When the value of     is changed from .05 to .01, is changed from .05 to .01,

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We expect the alternative hypothesis to be a

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According to the information contained in the sampling distribution, we reject the null hypothesis if the probability of obtaining such a sample mean is

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If we were able to calculate both If we were able to calculate both     and       we should and If we were able to calculate both     and       we should we should

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When the average scores for two groups are found to be "statistically significant," it means that the results

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