(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iv)
D. (iii)
The average number of sick days an employee takes per year is believed to be 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for the past year are as follows:
12, 4, 15, 3, 11, 8, 6, 8.
The data give us a sample mean of 8.38 and a sample standard deviation of 4.1. Assume that the number of sick days is normally distributed. State the null and alternative hypothesis and calculate the value of the test statistic to. Use a significance level of 0.02.
(i)H_{n}:\mu=10,H : :\mu<10 , t_{n}=1.12
(ii) H_{n}:\mu=10,H : μ≠10, t_{n}=-2.06
(iii) H_{0}:\mu=10,H_{1} μ≠10, t_{n}=-1.12
(ⅳ) Ηο :\mu=10, Η₁: μ>10, t_{n}=-1.05
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