The pH of a liquid is a measure of its acidity or alkalinity. Pure water was a pH of 7, which is neutral. Solutions with a pH less than 7 are acidic while solutions with a pH greater than 7 are alkaline. A biologist was interested in testing the purity of lake water in Florida. A random sample of 58 lakes was taken, and the pH of water in each lake was recorded. The sample of lakes had an average pH of 6.567 with a standard deviation of 1.861. Using a significance level of 0.01, is there evidence the mean pH of Florida lakes is not neutral? What hypotheses should be tested? Ho:μ=7Ho:μ=7 Ha:μ<7Ha:μ<7 Ho:μ≠7Ho:μ≠7 Ha:μ=7Ha:μ=7 Ho:μ=7Ho:μ=7 Ha:μ≠7Ha:μ≠7 Ho:μ=7Ho:μ=7 Ha:μ>7Ha:μ>7 αα = Test Statistic: t = (Note: round the t-score to two decimal places) probability = Select an answer 0.0818 0.0409 0.9591 decision: Select an answer Reject H₀ Fail to reject H₀ At the 0.01 level, there Select an answer is not is significant evidence to conclude the mean pH in Florida lakes is Select an answer less than greater than different than 7. Based on the decision of your test and the sample selected, what can you conclude? The mean pH of Florida lakes is neutral. The mean pH of Florida lakes is acidic. The mean pH of Florida lakes is alkaline.

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 26PFA

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The pH of a liquid is a measure of its acidity or alkalinity. Pure water was a pH of 7, which is neutral. Solutions with a pH less than 7 are acidic while solutions with a pH greater than 7 are alkaline. A biologist was interested in testing the purity of lake water in Florida. A random sample of 58 lakes was taken, and the pH of water in each lake was recorded. The sample of lakes had an average pH of 6.567 with a standard deviation of 1.861.

Using a significance level of 0.01, is there evidence the mean pH of Florida lakes is not neutral?

What hypotheses should be tested?

Ho:μ=7Ho:μ=7
Ha:μ<7Ha:μ<7

Ho:μ≠7Ho:μ≠7
Ha:μ=7Ha:μ=7

Ho:μ=7Ho:μ=7
Ha:μ≠7Ha:μ≠7

Ho:μ=7Ho:μ=7
Ha:μ>7Ha:μ>7
αα =
Test Statistic: t = (Note: round the t-score to two decimal places)
probability = Select an answer 0.0818 0.0409 0.9591
decision: Select an answer Reject H₀ Fail to reject H₀
At the 0.01 level, there Select an answer is not is significant evidence to conclude the mean pH in Florida lakes is Select an answer less than greater than different than 7.

Based on the decision of your test and the sample selected, what can you conclude?

The mean pH of Florida lakes is neutral.
The mean pH of Florida lakes is acidic.
The mean pH of Florida lakes is alkaline.

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