Find the p-value when the t test value is 2.732, the sample size is 10 and the t

Question

Find the p-value when the t test value is 2.732, the sample size is 10 and the test is two-tailed. Find the critical t value for a = 0.01 with d.f. = 25, for a right-tailed t lest. The average cost of stroke rehabilitation at hospital is $25,000, a research selects random sample of 36 stroke victims at the Union Hospital and finds that the average cost of their rehabilitation is $27,000. The standard deviation of the population is $3300. At a 0.01, can it be concluded that the average cost of stroke rehabilitation at Union Hospital is different from $25.000? A medical research claims that the average number of infections per week at a hospital in Maryland is 16.5, a random sample of 9 weeks had a mean number of 18.0 infections. The sample standard deviation is 1.8. Is there enough evidence to reject the research's claim at a = 005?

Explanation / Answer

14)

df = n-1 = 10-1 = 9

t = 2.732

Since it is two tailed test p - value is

2P(t>2.732) = 0.0231

15)

For right tailed test, t should be positive.

P(t>to) = 0.01, df = 25.

From t table, t = 2.485

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