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The desired percentage of SiO₂ in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO₂ in a sample is normally distributed with a 0.32 and that x = 5.24. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. OHH-5.5 H:#<5.5 OHo5.5 H₂H25.5 Ho: -5.5 H₂: H = 5.5 OH₂: -5.5 H:H> 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = 0.05 x x P-value 0.05

The desired percentage of SiO₂ in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO₂ in a sample is normally distributed with a 0.32 and that x = 5.24. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. OHH-5.5 H:#<5.5 OHo5.5 H₂H25.5 Ho: -5.5 H₂: H = 5.5 OH₂: -5.5 H:H> 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = 0.05 x x P-value 0.05

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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PLEASE ANSWER Z, P-VALUE TY!

The desired percentage of SiO₂ in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with = 0.32 and that x = 5.24. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. O Ho: μ = 5.5 H₂: μ< 5.5 Ο Ηγ: μ = 5.5 Hg: μ 3 5.5 ⒸH: μ = 5.5 H₂: μ = 5.5 O Ho: μ = 5.5 H₂:μ> 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z 0.05 X P-value 0.05 x
Transcribed Image Text:The desired percentage of SiO₂ in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with = 0.32 and that x = 5.24. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. O Ho: μ = 5.5 H₂: μ< 5.5 Ο Ηγ: μ = 5.5 Hg: μ 3 5.5 ⒸH: μ = 5.5 H₂: μ = 5.5 O Ho: μ = 5.5 H₂:μ> 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z 0.05 X P-value 0.05 x
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