14) Arsenic is an element that can naturally get into local water supplies. The maximum safe level of arsenic in water is assumed to be 10 parts per billion (ppb). A sample of n=35 homes were sampled for tap water, and the sample mean arsenic level was found to be 9.72 ppm. If the population standard deviation is assumed to be 0.55 ppb, then: (a) write the null and alternate hypotheses to test to see if the mean concentration of arsenic in tap water is less than 10 ppb; b) Carry out a one-sample z-test at the 5% significance level Instead of a z-test, repeat this test using the p-value approach. All you need to do is calculate the p-value. Then state whether you would accept or reject the null hypothesis at the 5% level based on the p-value. No need to re-write everything else.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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14) Arsenic is an element that can naturally get into local water supplies. The maximum safe
level of arsenic in water is assumed to be 10 parts per billion (ppb). A sample of n = 35
homes were sampled for tap water, and the sample mean arsenic level was found to be 9.72
ppm. If the population standard deviation is assumed to be 0.55 ppb, then:
(a) write the null and alternate hypotheses to test to see if the mean concentration of arsenic
in tap water is less than 10 ppb;
b) Carry out a one-sample z-test at the 5% significance level
Instead of a z-test, repeat this test using the p-value approach. All you need to do is calculate the
p-value. Then state whether you would accept or reject the null hypothesis at the 5% level based
on the p-value. No need to re-write everything else.
19
T
Transcribed Image Text:10:05 AM Sat Dec 19 * 64% +: 0 14) Arsenic is an element that can naturally get into local water supplies. The maximum safe level of arsenic in water is assumed to be 10 parts per billion (ppb). A sample of n = 35 homes were sampled for tap water, and the sample mean arsenic level was found to be 9.72 ppm. If the population standard deviation is assumed to be 0.55 ppb, then: (a) write the null and alternate hypotheses to test to see if the mean concentration of arsenic in tap water is less than 10 ppb; b) Carry out a one-sample z-test at the 5% significance level Instead of a z-test, repeat this test using the p-value approach. All you need to do is calculate the p-value. Then state whether you would accept or reject the null hypothesis at the 5% level based on the p-value. No need to re-write everything else. 19 T
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