Question

question 29 (3 points)
if a data set is normally distributed with a mean of 200 and a standard deviation of 30, what is the z - score for a value of 140? $z=\frac{raw score - mean}{standard deviation}$
-2.00
-0.67
-1.33
-1.00
question 30 (3 points)
a random sample of 50 cereal boxes has a mean weight of 500 grams with a standard deviation of 15 grams. calculate the 99% confidence interval for the mean weight of the boxes. the 99% confidence interval is calculated as $meanpm(2.58\times\frac{standard deviation}{sqrt{# of samples}})$
the confidence interval is 500 ± 5.48. therefore, we are 99% confident that the true mean weight of the boxes is between 494.52 grams and 505.48 grams.
the confidence interval is 50 ± 10.48. therefore, we are 99% confident that the true mean weight of the boxes is between 39.52 grams and 60.48 grams.
the confidence interval is 510 ± 10.48. therefore, we are 99% confident that the true mean weight of the boxes is between 499.52 grams and 520.48 grams.
the confidence interval is 520 ± 5.48. therefore, we are 99% confident that the true mean weight of the boxes is between 44.52 grams and 55.48 grams.

Explanation:

Answer:

(Question 29) A. -2.00
(Question 30) A. The confidence interval is 500 ± 5.48. Therefore, we are 99% confident that the true mean weight of the boxes is between 494.52 grams and 505.48 grams.