It takes on average 35 minutes to assemble a LCD TV at a Bony plant and management wants to Introduce a new method to increase productivity. A random sample of 25 TVs reveals that it took on average 32 minutes to assemble a TV and that the standard deviation of the sample was 4 minutes, M the 5% loyal of significance is that enough evidence to conclude that the new method has succeeded in lowering the time it takes to assemble a TV at the plant (state the hypotheses and perform the necessary calculations to arrive at your conclusion)

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Question 2
Null hypothesis:
H0: Mean time taken to assemble a TV using new method ≥ 35 minutes (μ ≥ 35)
Alternative hypothesis:
H1: Mean time taken to assemble a TV using new method < 35 minutes (μ < 35) Significance level, 𝛂 = 0.05