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uppose a simple random sample of size n39 is obtained from .pdf

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The population must be normally distributed in order to use the normal model to compute probabilities regarding the sample mean. The sampling distribution of the mean x would be normal with a mean of 69 and standard deviation of 15/√39. The probability that the sample mean x is less than 73.4 is P(z<(73.4-69)/15/√39/√39) = P(z<0.96) = 0.17. The probability that the sample mean x is greater than 70.8 is P(z>1.2) = 0.1155.

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uppose a simple random sample of size n=39 is obtained from a population with =69 and =15. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x<73.4). (c) Assuming the normal model can be used, determine P(x70.8).

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uppose a simple random sample of size n39 is obtained from .pdf

  • 1. uppose a simple random sample of size n=39 is obtained from a population with =69 and =15. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x<73.4). (c) Assuming the normal model can be used, determine P(x70.8).