**Question 17: Interpretation of the Diagram****Diagram Explanation:**The diagram is a normal distribution curve with a small area shaded at the left, representing a probability of 0.0004. The horizontal axis is marked with two points: "5.1" and "q," with "x̄" (sample mean) further on the right.**Question:**Assume that the population mean is _______. Then approximately 4 out of _______ sample means of the same size n will have values as small as _____ or even smaller.**Answer Choices:**A. true, 1000, 5.1 B. not true, 10000, 5.1 C. true, 10000, 9 D. true, 10000, 5.1 The question focuses on interpreting the probability distribution and understanding the statistical significance of sample means relative to the population mean.

Name: **Question 17: Interpretation of the Diagram****Diagram Explanation:*
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: **Question 17: Interpretation of the Diagram****Diagram Explanation:**The diagram is a normal distribution curve with a small area shaded at the left, representing a probability of 0.0004. The horizontal axis is marked with two points: "5.1" and "q,

The curve gives is the normal probability curve of the sample mean of some size "n". Since sample mean has the mean equal to the population mean which lies in the middle and equal to 9 in this case. Here the shaded region shows the left side area of sample mean equal to 5.1Thus, interpretation of area in this case will be that there is a probability of 0.0004 of obtaining the sample mean value of 5.1 or smaller with the sample size "n" assuming that population mean is True and equal to 9 Assume that the population mean is true .Then approximately 4 out of 10000 sample means of the same size n will have values as small as 5.1 or even smaller.