Problem #1: We would like to determine whether the true mean pH level of a lake differs from 6.5. Lake pH levels are known to follow a Normal distribution. We select a random sample of water specimens from random locations in the lake. The sample mean pH level is calculated to be 5.9 and the standard deviation is 0.8. A 95% confidence interval for the true mean is found to be (4.1,7.7). What would the appropriate conclusion be based on this interval? (A) Since 6.5 falls inside the interval, we reject Ho at the 2.5% level of significance. (B) Since 5.9 falls inside the interval, we fail reject Ho at the 2.5% level of significance. (C) Since 5.9 falls inside the interval, we reject Ho at the 2.5% level of significance. (D) Since 6.5 falls inside the interval, we fail reject Ho at the 2.5% level of significance. (E) Since 5.9 falls inside the interval, we reject Ho at the 5% level of significance. (F) Since 6.5 falls inside the interval, we reject Ho at the 5% level of significance. (G) Since 5.9 falls inside the interval, we fail to reject Ho at the 5% level of significance. (H) Since 6.5 falls inside the interval, we fail to reject Ho at the 5% level of significance.
Problem #1: We would like to determine whether the true mean pH level of a lake differs from 6.5. Lake pH levels are known to follow a Normal distribution. We select a random sample of water specimens from random locations in the lake. The sample mean pH level is calculated to be 5.9 and the standard deviation is 0.8. A 95% confidence interval for the true mean is found to be (4.1,7.7). What would the appropriate conclusion be based on this interval? (A) Since 6.5 falls inside the interval, we reject Ho at the 2.5% level of significance. (B) Since 5.9 falls inside the interval, we fail reject Ho at the 2.5% level of significance. (C) Since 5.9 falls inside the interval, we reject Ho at the 2.5% level of significance. (D) Since 6.5 falls inside the interval, we fail reject Ho at the 2.5% level of significance. (E) Since 5.9 falls inside the interval, we reject Ho at the 5% level of significance. (F) Since 6.5 falls inside the interval, we reject Ho at the 5% level of significance. (G) Since 5.9 falls inside the interval, we fail to reject Ho at the 5% level of significance. (H) Since 6.5 falls inside the interval, we fail to reject Ho at the 5% level of significance.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem #1: We would like to determine whether the true mean pH level of a lake differs from 6.5. Lake pH levels are known
to follow a Normal distribution. We select a random sample of water specimens from random locations in the
lake. The sample mean pH level is calculated to be 5.9 and the standard deviation is 0.8.
A 95% confidence interval for the true mean is found to be (4.1,7.7). What would the appropriate conclusion be
based on this interval?
(A) Since 6.5 falls inside the interval, we reject Ho at the 2.5% level of significance.
(B) Since 5.9 falls inside the interval, we fail reject Ho at the 2.5% level of significance.
(C) Since 5.9 falls inside the interval, we reject Ho at the 2.5% level of significance.
(D) Since 6.5 falls inside the interval, we fail reject Ho at the 2.5% level of significance.
(E) Since 5.9 falls inside the interval, we reject Ho at the 5% level of significance.
(F) Since 6.5 falls inside the interval, we reject Ho at the 5% level of significance.
(G) Since 5.9 falls inside the interval, we fail to reject Ho at the 5% level of significance.
(H) Since 6.5 falls inside the interval, we fail to reject Ho at the 5% level of significance.
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