tpx e Chapter 7 Homework CengageNOWv2 Online t... Amazon.com-Online Sh... TripAd
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tpx e Chapter 7 Homework CengageNOWv2 Online t... Amazon.com-Online Sh... TripAdvisor Question 8 (of 10) 6.00 points A random sample is drawn from a population with mean -69 and standard deviation 5 8. Use lable a. Is the sampling distribution of the sample mean with n- 17 and n 42 normally distributed? O Yes, both the sample means will have a normal distribution. O No, both the sample means will not have a normal distribution. O No, only the sample mean with n 17 will have a normal distribution O No, only the sample mean with n 42 will have a normal distribution b. Can you use the standard normal distribution to calculate the probability that the sample mean falls between 69 and 72 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 O No, only for the sample size with n 17, standard normal distribution could be usec O No, only for the sample size with n 42, standard normal distribution could be used c. Calculate the probability that the sample mean falls between 69 and 72 for n 42, (Round intermediate calculations to 4 decimal places, "z value to 2 decimal places, and final answer to 4 decimal places.) Probabilit)y Hints References eBook & Resources Hint 1 ?Explanation / Answer
Solution:- Given that ? = 66 , ? = 5.5.
For n = 17, SE = s/sqrt(n) = 5.5/sqrt(17) = 1.3339
For n = 42, SE = s/sqrt(n) = 5.5/sqrt(42) = 0.8487
The standard error of the sample size n = 42 is less than the n = 17, Hence,n = 42 will follows a normal assumption.
a. option D.
b. option D.
c. P(69 < x < 72) = P((69-69)/5.5/sqrt(42) < Z < (72-69)/5.5/sqrt(42))
= P(0 < Z < 0.08)
= 0.0319
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