A sample of 50 lenses used in eyeglasses yields a sample mean thickness of 3.05 mm and a sample standard deviation of 0.34 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? Perform an appropriate test of hypotheses using Minitab. (a = 0.05). (a) Write down the null and alternative hypotheses in mathematical symbols. (b) Carry out an appropriate test of hypotheses using Minitab. (c) Give your decision about null alternative hypothesis using a significance level of 0.05. (d) Give your conclusion in the context of research.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A sample of 50 lenses used in eyeglasses yields a sample mean thickness of 3.05 mm and a
sample standard deviation of 0.34 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? Perform an appropriate test of hypotheses using Minitab. (a = 0.05).
(a) Write down the null and alternative hypotheses in mathematical symbols.
(b) Carry out an appropriate test of hypotheses using Minitab.
(c) Give your decision about null alternative hypothesis using a significance level of 0.05.
(d) Give your conclusion in the context of research.
Transcribed Image Text:A sample of 50 lenses used in eyeglasses yields a sample mean thickness of 3.05 mm and a sample standard deviation of 0.34 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? Perform an appropriate test of hypotheses using Minitab. (a = 0.05). (a) Write down the null and alternative hypotheses in mathematical symbols. (b) Carry out an appropriate test of hypotheses using Minitab. (c) Give your decision about null alternative hypothesis using a significance level of 0.05. (d) Give your conclusion in the context of research.
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