Arsenic occurs naturally in some ground water and can be toxic. A mean arsenic level of μ=9 parts per billion (ppb) is considered safe for agricultural use. A well in San Bernardino County is used to water strawberry crops. This well is tested on a regular basis for arsenic. A random sample of 42 tests gave a sample mean of 8.5 ppb arsenic, with a sample standard deviation of 2.1 ppb. Does this information indicate that the mean level of arsenic in this well is less than μ=9ppb? Use α=0.005 What is the level of significance? State the null and alternate hypotheses.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Arsenic occurs naturally in some ground water and can be toxic. A mean arsenic level of μ=9 parts per billion (ppb) is considered safe for agricultural use. A well in San Bernardino County is used to water strawberry crops. This well is tested on a regular basis for arsenic. A random sample of 42 tests gave a sample mean of 8.5 ppb arsenic, with a sample standard deviation of 2.1 ppb. Does this information indicate that the mean level of arsenic in this well is less than μ=9ppb? Use α=0.005

What is the level of significance?

State the null and alternate hypotheses.
H0:H0:? σ p μ χ  Select an answer < > = ≠  ppb

H1:H1:? μ p χ σ  Select an answer > = ≠ <  ppb

 

What is the value of the test statistic? (Round your answer to two decimal places.)

Find the P-value. (Round your answer to four decimal places.)

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