Exam 12: Sampling Distributions, Sampling Distribution of the Mean: the Normal Deviate Z Test

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The sampling distribution of the mean is always normally distributed.

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For the z test, the critical region for rejection of H 0 _________.

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Define the critical region and the critical values of a statistic.

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Assume the following values of s have been obtained for different Null Hypothesis Populations. Calculate the value of the standard error of the mean for samples of size N taken from the respective populations. Assume the following values of s have been obtained for different Null Hypothesis Populations. Calculate the value of the standard error of the mean for samples of size N taken from the respective populations.

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The normal deviate test uses the mean of the sample as a basic statistic.

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A computer memory manufacturer specifies that its memory chip stores data incorrectly an average of 6.3 out of 10 million cycles with a standard deviation of 0.48. A batch of 30 chips your company ordered stores data incorrectly an average of 6.9 times per 10 million cycles. A computer memory manufacturer specifies that its memory chip stores data incorrectly an average of 6.3 out of 10 million cycles with a standard deviation of 0.48. A batch of 30 chips your company ordered stores data incorrectly an average of 6.9 times per 10 million cycles.

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The average weight of a species of laboratory rats at birth is 27.6 grams with a standard deviation of 3.4 grams. You wish to test the hypothesis that a different maternal feeding cycle but the same quantity and quality will affect birth-weight. A sample of 10 female rats given the new feeding schedule gave birth to 56 baby rat pups with an average weight of 25.9 grams. The average weight of a species of laboratory rats at birth is 27.6 grams with a standard deviation of 3.4 grams. You wish to test the hypothesis that a different maternal feeding cycle but the same quantity and quality will affect birth-weight. A sample of 10 female rats given the new feeding schedule gave birth to 56 baby rat pups with an average weight of 25.9 grams.

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A sampling distribution gives one the values a statistic can take, along with the probability of getting each value if sampling is random from the H1 population.

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Referring to question 29, if N is increased to 90, power = _________ to detect a real effect such that µ real = 53.

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The average life of a light bulb is 862 hours with a standard deviation of 51 hours. A new manufacturing process results in a sample of 24 bulbs with a mean life of 899 hours until burn out. The average life of a light bulb is 862 hours with a standard deviation of 51 hours. A new manufacturing process results in a sample of 24 bulbs with a mean life of 899 hours until burn out.

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Generally speaking, if the sampling distribution of a statistic is indeterminate (impossible to determine), the statistic cannot be used for inference.

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Explain the process of generating sampling distributions using the empirical approach.

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A set of sample scores from an experiment has an N = 28 and a mean = 52. H 1 is directional, predicting an effect of the independent variable which decreases the magnitude of the dependent variable. H 0 asserts the sample is a random sample from a population of scores where µ = 55 and s = 12. a = 0.051 tail. Using the z test to analyze the data, what is the correct conclusion regarding H 0 ?

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In a population with = 100 and s = 15, what is the probability if we randomly drew a sample of N = 9 we would get a value of In a population with = 100 and s = 15, what is the probability if we randomly drew a sample of N = 9 we would get a value of   108? 108?

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By using a stringent alpha level, and designing the experiment for high power, we maximize the probability of correctly concluding regardless of whether H0 is true or false.

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The sampling distribution of the mean is made up of mean scores.

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A raw score distribution which has a moderate negative skew will result in a sampling distribution of the mean for N = 42 that is _________.

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The critical value for the z distribution using a = 0.05 2 tail is _________.

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The binomial distribution is an example of a sampling distribution.

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Is it always the case for both directional and nondirectional H 1s that if z obt ?5= z crit, the correct conclusion is to reject H 0? Explain.

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