Suppose x has a distribution with a mean of 80 and a standard deviation of 3. Random samples of size n = 36 are drawn. (

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Suppose X Has A Distribution With A Mean Of 80 And A Standard Deviation Of 3 Random Samples Of Size N 36 Are Drawn 1 (34.88 KiB) Viewed 33 times

Suppose x has a distribution with a mean of 80 and a standard deviation of 3. Random samples of size n = 36 are drawn. (a) Describe the x distribution. Ox has a normal distribution. Oxhas a binomial distribution. O x has a geometric distribution. Oxhas a Poisson distribution. O has an unknown distribution. O has an approximately normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Px = 0x = (b) Find the z value corresponding to x = 79. (Enter an exact number.) 2 = (c) Find P(x < 79). (Enter a number. Round your answer to four decimal places.) P(x < 79) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 79? Explain. O No, it would not be unusual because more than 5% of all such samples have means less than 79. O No, it would not be unusual because less than 5% of all such samples have means less than 79. O Yes, it would be unusual because more than 5% of all such samples have means less than 79. O Yes, it would be unusual because less than 5% of all such samples have means less than 79.