By using 0.05 level of significance is there any evidence, Ask an Expert

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Q1) The experiment has single factor with 5 groups and 7 values in each group.

a) How many degrees of freedom are there in finding among-group variation?

b) How many degrees of freedom are there in finding the within-group variation?

c) How many degrees of freedom are there in finding the total variation?

Q2) Operations manager at light bulb factory wishes to find whether there is any difference in the mean life types of machines. Population standard deviation of machine I is 110 hours and of machine II is 125 hours. Random sample of 25 light bulbs from machine I points out a sample mean of 375 hours, and similar sample of 25 from machine II points out a sample mean of 362 hours.

i) By using 0.05 level of significance, is there any evidence of difference in mean life of bulbs produced by two kinds of machines?

ii) Calculate p-value and interpret its meaning.

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