4. value: 11.11 points 56 and standard deviation ?-4.7, Use Table A random sampl

Question

4. value: 11.11 points 56 and standard deviation ?-4.7, Use Table A random sample is drawn from a population with mean 1. a. Is the sampling distribution of the sample mean with n - 14 and n 34 normally distributed? O Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. O No, only the sample mean with n 14 will have a normal distribution. No, only the sample mean with n 34 will have a normal distribution. b. Can you use the standard normal distribution to calculate the probability that the sample mean falls between 56 and 58 for both sample sizes? O Yes, for both the sample sizes, standard normal distribution could be used. O No, for both the sample sizes, standard normal distribution could not be used. No, only for the sample size with n 14, standard normal distribution could be used. No, only for the sample size with n - 34, standard normal distribution could be used. c. Calculate the probability that the sample mean falls between 56 and 58 for n 34. (Round intermediate calculations to 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability 0.4934

Explanation / Answer

a) no only the sample mean with n=34 will have a normal distribution

b) no only for the sample mean with n=34 std normal could be used

c)

( please try 0.4932 if above does not work due to rounding)

for normal distribution z score =(X-?)/? here mean=       ?= 56 std deviation   =?= 4.7000 sample size       =n= 34 std error=?x?=?/?n= 0.8060

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