Two artisans produce wooden paperweights. Artisan X claims that her paperweights are heavier than those produced by artisan Y. A random sample of 6 paperweights from each artisan yielded the following data: 147.9 147.4 152.9 148.0 X 151.8 151.8 149.7 146.4 149.5 149.1 152.6 150.2 Y (a) Assuming the population variances are equal, test the claim of artisan X using a 5% level of significance. (b) Test whether the population variances are equal using a 5% level of significance.

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Two artisans produce wooden paperweights. Artisan X claims that her paperweights are heavier than those
produced by artisan Y. A random sample of 6 paperweights from each artisan yielded the following data:
X
Y
151.8
151.8
151.8
147.9 147.4 152.9 148.0
149.7 146.4 149.5 149.1 152.6 150.2
(a) Assuming the population variances are equal, test the claim of artisan X using a 5% level of significance.
(b) Test whether the population variances are equal using a 5% level of significance.
Transcribed Image Text:Two artisans produce wooden paperweights. Artisan X claims that her paperweights are heavier than those produced by artisan Y. A random sample of 6 paperweights from each artisan yielded the following data: X Y 151.8 151.8 151.8 147.9 147.4 152.9 148.0 149.7 146.4 149.5 149.1 152.6 150.2 (a) Assuming the population variances are equal, test the claim of artisan X using a 5% level of significance. (b) Test whether the population variances are equal using a 5% level of significance.
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