Question

Salary information regarding male and female employees of a large company is shown below.

	Male	Female
Sample Size	68	32
Sample Mean Salary (in $1,000s)	59	52
Population Variance (σ2)	272	160

In a test of whether or not the population average salary of males is significantly greater than that of females at α = 0.05, the p-value is 0.0098.

a) The conclusion is that the population salaries of males and females are equal.

b) there is no evidence that the population average salary of males is greater than that of females.

c) the population average salary of males is significantly lower than that of females.

d) the population average salary of males is significantly greater than that of females.

Answer 1

68 52 32 30mple size = N= Male n2 = female Femole tl 272 212 46 24 the sample mean salang of male in $ 1000 = 59 pole population Venance = 6² = female' population Van'once - 160 the Testi vabether or not the population Cerverage Solong of moles is significantly greater than that of female at Q = 0.05 p-value = 0.0098 Hoi where lll = l12 Dull hypothesis en 2 42 alternate hypothesi's dels are populath average Male & female respectively Salary of ai - 22 ma N10,12 14-0.03 Z = 22م + VC na 39 - 52 . 17972 + 460 32 68 It 2.3333 Z certcartade 3 Zda 1.645 since the Lealulated a value is greater than critical value_2a = 1:645 sit is significant at 510 Jevel of significance reject null hypothesi's. Hence (d) is concert je. the popn average salary of moles is signiRicantly greater thol femalee Hence we