The he prices (in dollars) for 16 randomly selected automobile batteries are sho

Question

The he prices (in dollars) for 16 randomly selected automobile batteries are shown in the table. The prices are classified according to battery type. At the 5% significance level, is there enough evidence to conclude that at least one of the mean battery prices is different from the others? Assume that each population of battery types is normally distributed and that the population variances are equal.

Please show how to obtain the answer from a TI-84 Plus calculator test. Explain why we use that specific test. List the p-value.

Also, explain whether we reject or fail to reject based on the probability.

Type A 65 75 64 50 Type B 83 63 65 63 85 65 Type C 89 84 75 90 70 60

Explanation / Answer

H0:There is no significent difference between means of three groups

Ha:There is a significent difference between means of three groups

alpha:5%

Test statistic:

F cal= 2.15

P value=0.156

Conclsison: P>0.05, we don not reject the H0. Hence claim is not significant

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Type A 4 254 63.5 105.6667 Type B 6 424 70.66667 107.8667 Type C 6 468 78 139.6 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 513.4167 2 256.7083 2.147035 0.156423 3.805565 Within Groups 1554.333 13 119.5641 Total 2067.75 15

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