Question

A service station owner believes that an equal number of customers prefer to buy gasoline on every day of the week. A manager claims that the number of customers varies by day. Test the manager’s claim using α=0.10. The owner surveyed 739 customers over a period of time. Here are the results: Mon Tue Wed Thu Fri Sat Sun Customers 103 103 125 103 110 95 96 (Hint: 7 days

Answer 1

( here sum of customer day wise is coming 735 please check and revert)

here null hypothesis:Ho:equal number of customers prefer to buy gasoline on every day of the week

alternate hypothesis: Ha: not all days equal number of customers prefer to buy gasoline.

degree of freedom =categories-1 =7-1=6

for 6df and 0.1 level rejection region : ² >10.645

applying chi square goodness of fit test:

		observed	Expected		Chi square
category	Probability(p)	Oi	Ei=total*p		R2i=(Oi-Ei)2/Ei
mon	1/7	103.000	105.000		0.038
tue	1/7	103.000	105.000		0.038
wed	1/7	125.000	105.000		3.810
thu	1/7	103.000	105.000		0.038
fri	1/7	110.000	105.000		0.238
sat	1/7	95.000	105.000		0.952
sun	1/7	96.000	105.000		0.771
total	1.000	735	735		5.886

here as test statistic 5.886 is less than critical value we fail to reject null hypothesis

we do not have evidence to conclude that number of customers prefer to buy gasoline on every day are different