A sample of 55 lenses used in eyeglasses yields a sample mean thickness of 3.09 mm and a sample standard deviation of 0.33 mm. The desired true average thickness of such lenses is 3.20 mm. Does the data strongly suggest that the true average thickness of such lenses is something other than what is desired? Test using a = 0.05. State the appropriate null and alternative hypotheses. Ho: μ> 3.20 H₂: μ = 3.20 Ho: M = 3.20 H₂H <3.20 Ο Ηγ: μ < 3.20 H_: μ = 3.20 Ho: μ = 3.20 H: μ = 3.20 Ho: M = 3.20 Ha:μ>3.20 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 = P-value = State the conclusion in the problem context. Reject the null hypothesis. There is not enough evidence to suggest that the True average thickness of such lenses is different than 3.20 mm. Reject the null hypothesis. There is enough evidence to suggest that the True average thickness of such lenses is different than 3.20 mm. O Do not reject the null hypothesis. There is not enough evidence to suggest that the True average thickness of such lenses is different than 3.20 mm. O Do not reject the null hypothesis. There is enough evidence to suggest that the True average thickness of such lenses is different than 3.20 mm. You may need to use the appropriate table in the Appendix of Tables to answer this question.
A sample of 55 lenses used in eyeglasses yields a sample mean thickness of 3.09 mm and a sample standard deviation of 0.33 mm. The desired true average thickness of such lenses is 3.20 mm. Does the data strongly suggest that the true average thickness of such lenses is something other than what is desired? Test using a = 0.05. State the appropriate null and alternative hypotheses. Ho: μ> 3.20 H₂: μ = 3.20 Ho: M = 3.20 H₂H <3.20 Ο Ηγ: μ < 3.20 H_: μ = 3.20 Ho: μ = 3.20 H: μ = 3.20 Ho: M = 3.20 Ha:μ>3.20 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 = P-value = State the conclusion in the problem context. Reject the null hypothesis. There is not enough evidence to suggest that the True average thickness of such lenses is different than 3.20 mm. Reject the null hypothesis. There is enough evidence to suggest that the True average thickness of such lenses is different than 3.20 mm. O Do not reject the null hypothesis. There is not enough evidence to suggest that the True average thickness of such lenses is different than 3.20 mm. O Do not reject the null hypothesis. There is enough evidence to suggest that the True average thickness of such lenses is different than 3.20 mm. You may need to use the appropriate table in the Appendix of Tables to answer this question.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:A sample of 55 lenses used in eyeglasses yields a sample mean thickness of 3.09 mm and a sample standard deviation of
0.33 mm. The desired true average thickness of such lenses is 3.20 mm. Does the data strongly suggest that the true average
thickness of such lenses is something other than what is desired? Test using a = 0.05.
State the appropriate null and alternative hypotheses.
Ho: μ> 3.20
H₂: μ = 3.20
OH: μ = 3.20
H₂H <3.20
Ο Ηγ: μ < 3.20
H₂:μ = 3.20
Ho: μ = 3.20
# 3.20
Ho: μ = 3.20
Ha:μ> 3.20
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 =
P-value =
State the conclusion in the problem context.
Reject the null hypothesis. There is not enough evidence to suggest that the True average thickness of such lenses is
different than 3.20 mm.
Reject the null hypothesis. There is enough evidence to suggest that the True average thickness of such lenses is different
than 3.20 mm.
O Do not reject the null hypothesis. There is not enough evidence to suggest that the True average thickness of such lenses is
different than 3.20 mm.
O Do not reject the null hypothesis. There is enough evidence to suggest that the True average thickness of such lenses is
different than 3.20 mm.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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