An agriculturist claims that she has cultivated a new variety of orange that has a significantly higher content of vitamin C than the variety that is currently the top seller. A random sample of 15 oranges of the new variety and a random sample of 15 oranges of the current top seller were sampled, giving the following results: n, = 15 , = 99.880 st = 9.0335 n2 = 15 x2 = 96.892 s = 6.4460 3.1 Let u, and 4z indicate the population mean vitamin C content of the new variety and of the current top seller, respectively. Test the agriculturist's claim using a significance level of 1%. Give both the p-value and the critical value. (10) 3.2 State the assumptions associated with the test in 3.1. (2)

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An agriculturist claims that she has cultivated a new variety of orange that has a significantly
higher content of vitamin C than the variety that is currently the top seller. A random sample of
15 oranges of the new variety and a random sample of 15 oranges of the current top seller were
sampled, giving the following results:
m = 15 , = 99,880 si = 9.0335
n2 = 15 x2 = 96.892 s = 6.4460
Let 4 and 4z indicate the population mean vitamin C content of the new variety and of
the current top seller, respectively. Test the agriculturist's claim using a significance level
of 1%. Give both the p-value and the critical value.
3.1
(10)
3.2
State the assumptions associated with the test in 3.1.
(2)
Transcribed Image Text:An agriculturist claims that she has cultivated a new variety of orange that has a significantly higher content of vitamin C than the variety that is currently the top seller. A random sample of 15 oranges of the new variety and a random sample of 15 oranges of the current top seller were sampled, giving the following results: m = 15 , = 99,880 si = 9.0335 n2 = 15 x2 = 96.892 s = 6.4460 Let 4 and 4z indicate the population mean vitamin C content of the new variety and of the current top seller, respectively. Test the agriculturist's claim using a significance level of 1%. Give both the p-value and the critical value. 3.1 (10) 3.2 State the assumptions associated with the test in 3.1. (2)
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