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A normal population has a mean of $75 and standard deviation of $5. You select random samples of 40. a. Apply the central limit theorem to describe the sampling distribution of the sample mean with n=40. What condition is necessary to apply the central limit theorem? Applying the central limit theorem requires the population distribution to be b. What is the standard error of the sampling distribution of sample means? (Round your answer to 2 decimal places.) Standard Error normal. 0.79 c. What is the probability that a sample mean is less than $74? (Round z-value to 2 decimal places and final answer to 4 decimal. b. What is the standard error of the sampling distribution of sample means? (Round your answer to 2 decimal places.) Standard Error c. What is the probability that a sample mean is less than $74? (Round z-value to 2 decimal places and final answer to 4 decimal places.) Probability 0.79 Probability 0.1038 d. What is the probability that a sample mean is between $74 and $76? (Round z-value to 2 decimal places and final answer to 4 decimal places.)