4. The man ager of a large store claims that the mean bal ance for the store's customer ch arge accounts is, on average, 8400. Suppose that a random sample of 19 customer charge count tot als is observed, and the mean charge amount of those sampled is 8495.65. If the stand ard de viation of the ch arge amounts sampled is $145.67, is there evidence support ing the claim that the me an baance of all of the store's customer ch arge accounts is more than 8400? There is an addition al assumption we need to make beyond what is given in the (a) problem. What additional assumption is necessary? For the subsequent parts, complete them with the need ed assumption in place. (b) St ate the null and alternative hypothe ses for this situation. (c) Give the test statistic for this hypothesis test. (d) Give the p-value for this test.

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4. The man ager of a large store claims that the mean bal ance for the store's customer ch arge
accounts is, on average, $400. Suppose that a random sample of 19 customer charge count
tot als is observed, and the mean charge amount of those sampled is 8495.65. If the stand ard
deviation of the ch arge amounts sampled is $145.67, is there evidence support ing the claim that
the me an baance of all of the store's customer ch arge accounts is more than 8400?
(a)
problem. Wh at additional assumption is necessary? For the subsequent parts, complete
them with the need ed assumption in place.
There is an addition al assumption we need to make beyond what is given in the
(Ь)
St ate the null and alternative hypotheses for this situation.
(c)
Give the test stat istic for this hypothesis test.
(d)
Give the p-value for this test.
Transcribed Image Text:4. The man ager of a large store claims that the mean bal ance for the store's customer ch arge accounts is, on average, $400. Suppose that a random sample of 19 customer charge count tot als is observed, and the mean charge amount of those sampled is 8495.65. If the stand ard deviation of the ch arge amounts sampled is $145.67, is there evidence support ing the claim that the me an baance of all of the store's customer ch arge accounts is more than 8400? (a) problem. Wh at additional assumption is necessary? For the subsequent parts, complete them with the need ed assumption in place. There is an addition al assumption we need to make beyond what is given in the (Ь) St ate the null and alternative hypotheses for this situation. (c) Give the test stat istic for this hypothesis test. (d) Give the p-value for this test.
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