A state agency requires a minimum of 5 parts per million (ppm) of dissolved oxygen in order for the oxygen content to be sufficient to support aquatic life. Six water specimens taken from a river at a specific location during the low-water season (July) gave readings of 5.0, 5.0, 5.0, 5.1, 4.9, and 4.6 ppm of dissolved oxygen. Do the data provide sufficient evidence to indicate that the dissolved oxygen content is less than 5 ppm? Test using a = 0.05. State the null and alternative hypotheses. Но: и < 5 versus H,: и > 5 HoiH = 5 versus H:µ < 5 Ho: u + 5 versus H: µ = 5 Ho: H < 5 versus H: µ = 5 a = 5 versus H: µ + 5 State the test statistic. (Round your answer to three decimal places.) t = -.938 State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) State the conclusion. Ho is not rejected. There is insufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm. H, is rejected. There is sufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm. 0 H, is rejected. There is insufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm. H. is not rejected. There is sufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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A state agency requires a minimum of 5 parts per million (ppm) of dissolved oxygen in order for the oxygen content to be sufficient to support aquatic life. Six water specimens taken from a river at a
specific location during the low-water season (July) gave readings of 5.0, 5.0, 5.0, 5.1, 4.9, and 4.6 ppm of dissolved oxygen. Do the data provide sufficient evidence to indicate that the dissolved
oxygen content is less than 5 ppm? Test using a =
0.05.
State the null and alternative hypotheses.
Но: и < 5 versus H,: и > 5
HoiH
= 5 versus H:µ < 5
Ho: u + 5 versus H: µ = 5
Ho: H < 5 versus H: µ = 5
a
= 5 versus H: µ + 5
State the test statistic. (Round your answer to three decimal places.)
t = -.938
State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
State the conclusion.
Ho is not rejected. There is insufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm.
H, is rejected. There is sufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm.
0
H, is rejected. There is insufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm.
H. is not rejected. There is sufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm.
Transcribed Image Text:A state agency requires a minimum of 5 parts per million (ppm) of dissolved oxygen in order for the oxygen content to be sufficient to support aquatic life. Six water specimens taken from a river at a specific location during the low-water season (July) gave readings of 5.0, 5.0, 5.0, 5.1, 4.9, and 4.6 ppm of dissolved oxygen. Do the data provide sufficient evidence to indicate that the dissolved oxygen content is less than 5 ppm? Test using a = 0.05. State the null and alternative hypotheses. Но: и < 5 versus H,: и > 5 HoiH = 5 versus H:µ < 5 Ho: u + 5 versus H: µ = 5 Ho: H < 5 versus H: µ = 5 a = 5 versus H: µ + 5 State the test statistic. (Round your answer to three decimal places.) t = -.938 State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) State the conclusion. Ho is not rejected. There is insufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm. H, is rejected. There is sufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm. 0 H, is rejected. There is insufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm. H. is not rejected. There is sufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm.
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