Answer:
<em>The calculated value Z = 1.548 < 2.326 at 0.01 level of significance</em>
<em>The Null Hypothesis is accepted</em>
<em>There is no change in the weekly production</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean Population(μ) = 200
Given that the standard deviation of the Population(σ) =16
Given that the mean of the sample (x⁻) = 203.5
Given that the size of the sample(n) = 50
Level of significance = 0.01
Critical value Z₀.₀₁ = 2.326
<u><em>Null hypothesis : (μ)</em></u> = 200
<u><em>Alternative Hypothesis : (μ)</em></u> ≠200
<u><em>Step(ii):-</em></u>
<em>Let 'X' be a random variable in a normal distribution</em>
<em> Test statistic</em>
<em> </em><em></em>
<em> </em><em></em>
<em> Z = 1.548</em>
<em>The calculated value Z = 1.548 < 2.326 at 0.01 level of significance</em>
<em>The Null Hypothesis is accepted</em>
<u><em>Final answer:-</em></u>
<em>There is no change in the weekly production</em>
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