Question

Question 5 1 pts The mean result from some experiment with 50 observations was 1.5 and the standard deviation was 1. Let denote the true mean result. We wish to to test How = 1 Hu> 1 The p-value is Piso 23.5) Plan 23.5) Plass 3.5) Pitso s 3.5)

Answer 1

H_a : $\mu > 1$

Hence a right tailed test.

$Test\; \; Statistic : t_{stat}=\frac{\overline{x}-\mu _{o}}{s /\sqrt{n}} =\frac{(1.5-1)}{1/\sqrt{50}}=\frac{0.5}{0.1414}=3.5361$

Degrees of freedom = n-1 =50-1 = 49

For right tailed test :

$p-value = P(t_{49}\geq t_{stat}) = P(t_{49}\geq 3.5)$

Ans : The p-value is

$P(t_{49}\geq 3.5)$