Question

A random sample of n = 45 observations from a quantitative population produced a mean x = 2.2 and a standard deviation s = 0.33. Your research objective is to show that the population mean u exceeds 2.1. Calculate B = P(accept H, when u = 2.2). (Use a 5% significance level. Round your answer to four decimal places.) B = 0 You may need to use the appropriate appendix table or technology to answer this question.

Answer 1

To test
Ho :μ = 2.1
against
H, :μ> 2.1

Rejection region :

T> 2.1+ *0.05, n-1}

or

{ i > 2.1 + 0.33 > 2.1+ *0.05,44)

or

{T > 2.1+ 0.33 * 1.68023} V45

or,

1 > 2.182656)

Acceptance region :

<2.182656}

i)

B = P(Accept Ho when Ho is not true) = Pu=22(X < 2.182656)

=P=2* *22 2.182656 – 2:2 V45

= P(+44 2.182656 – 2.2 0.33 V45

= P(t44 < -0.3525669)

=0.3630482

03630