Question

# Use the GSS dataset to answer the questions below. All analysis must be completed using your...

2. The population mean for a full-time worker is 40 hours per week. On average, do the respondents in the GSS work either significantly more or significantly less than 40 hours a week? Use an α value of 0.01 and the variable HRS1 to answer this question. (10 points)

 One-Sample Statistics N Mean Std. Deviation Std. Error Mean NUMBER OF HOURS WORKED LAST WEEK 858 39.75 15.208 .519
 One-Sample Test Test Value = 0.01 t df Sig. (2-tailed) Mean Difference 95% Confidence Interval of the Difference Lower NUMBER OF HOURS WORKED LAST WEEK 76.538 857 .000 39.738 38.72
 One-Sample Test Test Value = 0.01 95% Confidence Interval of the Difference Upper NUMBER OF HOURS WORKED LAST WEEK 40.76

1)

Ho:X = Ha:X  2)

Z CRITICAL VALUE IS 2.58 FOR TWO TAIL TEST

T CRITICAL VALUE IS 2.58 FOR TWO TAIL TEST

t-test = (sample mean - population mean)/ standard error

= (39.75-40)/0.518

= -0.481695568

so accept the null hypothesis because of calculated t value is less than critical t (2.58) value so, there is no significant evidence that sample mean and population mean are different .

confidence interval = mean t * se

= 39.75 2.58 * 0.519

= 39.75 1.33902

lower = 38.41098 to upper = 41.08902

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