Question

The wall thickness of 36 glass 2-liter bottles was measured by a quality control engineer. The sample mean was 4.13 mm, and the sample standard deviation was 0.072 mm.

The engineer tested whether the wall thickness exceeds 4.0 mm. What would be the P-value he got?

Answer 1

answer

• the given information as the beneath:
• The divider thickness of 36 glass 2-liter jugs was estimated by a quality control build.
• The example mean was 4.13 mm
• the example standard deviation was 0.072 mm.
• to discover the architect tried whether the divider thickness surpasses 4.0 mm.
• the test will be compose as the
• the hypothsis test is the
• Ho = μ = 4mm
• H1 = μ ≠ 4mm
• here we the equation as the
• Z = X̄ - μ/(s/√n)
• X̄ = 4.13
• s=0.072
• n = 36
• the probablity of the z is
• Z = 5-4/(0.072/√36)
• 1(0.072/6)
• 0.01167
• the halpa esteem is the
• α = 0.01,
• Ztab for two followed test is 2.576
• since Zcal < Ztab , there is no proof to dismiss Ho . Along these lines the mean divider thickness surpasses 4 mm