How sketch would change if the sample size was increased

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Reference no: EM133612918

Probability and Statistics

Question 1 Suppose that a one-tailed z test is used with α = 0.05 to test
Ho: μ ≠50 against
H1: μ = 50,
where σ = 10 and n = 25.
a. Sketch the sampling distributions of the mean for μ= 50 and for μ = 55 on a common axis.

b. Label appropriate regions for Level of Significance; 1 - α; β; and Power.

c. Explain how the sketch would change if the sample size was increased.

d. Using critical z-score values in the Table 1, compute relevant statistics and give your position on the Null hypothesis.

Table 1: Critical z- Score information

α = tail area	central area = 1 - 2α	z_α
0.10	0.80	z_.10 = 1.28
0.05	0.90	z_.05 = 1.645
0.025	0.95	z_.025 = 1.96
0.01	0.98	z_.01 = 2.33
0.005	0.99	z_.005 = 2.58

Reference no: EM133612918

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