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An engineer wants to measure the bias in a pH meter. She uses the meter to measure the pH in 12
neutral substances (pH=7.0) and obtains the following data: 7.04 7.31 7.04 7.01 6.97 7.00 7.00
6.99 7.04 6.97 7.27 7.04 Is there sufficient evidence to support the claim that the pH meter is not
correctly calibrated at the alpha= .05 level of significance?
a. Find the sample mean (4 decimals) ____
b. Find the sample standard deviation (4 decimal places)__ (calculator acceptable)
c. State the null and the alternate hypotheses. Ho: ____Ha:_______
d. State the critical value(s) for this test. ____
e. Find the test statistic. ______
f. Approximate the p-value for this test.____
g. Find the appropriate Confidence Interval for this problem. (______, ______)
h. State your conclusion in the context of this problem.
show all work
Solution
Let X be measure of the bias in a pH meter. n = 14 Xmean =
(1/12)*(7.04+7.31+7.04+7.01+6.97+7.00+6.

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An engineer wants to measure the bias in a pH meter. She uses the me.pdf

  • 1. An engineer wants to measure the bias in a pH meter. She uses the meter to measure the pH in 12 neutral substances (pH=7.0) and obtains the following data: 7.04 7.31 7.04 7.01 6.97 7.00 7.00 6.99 7.04 6.97 7.27 7.04 Is there sufficient evidence to support the claim that the pH meter is not correctly calibrated at the alpha= .05 level of significance? a. Find the sample mean (4 decimals) ____ b. Find the sample standard deviation (4 decimal places)__ (calculator acceptable) c. State the null and the alternate hypotheses. Ho: ____Ha:_______ d. State the critical value(s) for this test. ____ e. Find the test statistic. ______ f. Approximate the p-value for this test.____ g. Find the appropriate Confidence Interval for this problem. (______, ______) h. State your conclusion in the context of this problem. show all work Solution Let X be measure of the bias in a pH meter. n = 14 Xmean = (1/12)*(7.04+7.31+7.04+7.01+6.97+7.00+6.