![]() ![]() A t\alpha=0.05$, test the claim that the mean salary is$22,300. T h e ann u a lp a y f or a r an d o m s am pl eo f 10 f u ll − t im e ma l e w or k ers w i t h o u t ahi g h sc h oo l d i pl o mai s l i s t e d. The annual pay for a random sample of 10 full-time male workers without a high school diploma is listed. T h e a n n u a l p a y f o r a r a n d o m s a m p l e o f 10 f u l l − t i m e m a l e w o r k e r s w i t h o u t a h i g h s c h o o l d i p l o m a i s l i s t e d. (e) interpret the decision in the context of the original claim.Īssume the population is normally distributed.Īnnual Pay An employment information service claims the mean annual pay for full-time male workers over age 25 and without a high school diploma is 22, 300. (d) decide whether to reject or fail to reject the null hypothesis. (c) find the standardized test statistic. The (square root of this) variance is reported in Table 1s. ![]() (b) find the critical value(s) and identify the rejection region(s). density function is normal, we need to compute the mean and the standard deviation. (a) write the claim mathematically and identify H 0 H_0 H 0 and H a H_a H a . (a) Standardize the X j X_j X j by letting r.v.s with mean μ \mu μ, variance σ 2 \sigma^2 σ 2, and skewness γ \gamma γ.
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