Hypothesis Test of 1 Mean 1. The mean number of sick days an employee takes per

Question

Hypothesis Test of 1 Mean 1. The mean number of sick days an employee takes per year is believed to be about 10 Members of a personnel department do not believe this figure. They randomly survey 8 employ- ees. The number of sick days they took for the past year are as follows: 12, 4; 15; 3; 11; 8; 6; 8. Should the personnel team believe that the mean number is about 1 t*ss Test statistic t=Tand Confidence Interval ±E with E- State the null and alternative hypothesis State your conclusion for your hypothesis test. Give the 95% Confidence Interval points 4 points 4 points 4 points Give a conclusion for the confidence interval test

Explanation / Answer

Hypothesis:

Ho : µ = 10

vs

H1 : µ is not equals to 10

n= 8

sample mean = 8.375

sample s.d. = 4.10357

alpha = 0.05

test statistic :

t = (8.375-10)/(4.10357/80.5) = -1.12

p-value = 0.300

p-value > alpha

So, we does not have sufficient reason to reject the null hypothesis.

Confidence interval (95%).

[10 - { (-1.12) *4.10357 } / 80.5 , 10 + { (-1.12) *4.10357 } / 80.5 ]

= (4.94433, 11.80567)

almost 95% observation lies in the interval (4.94433, 11.80567)

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.