A machine produces 5 inch nails. A sample of 12 nails wasselected and their leng

Question

A machine produces 5 inch nails. A sample of 12 nails wasselected and their lengths determined. The results are asfollows: 5.01, 5.00, 4.93, 4.95, 4.98, 5.05, 5.01, 5.05, 4.97, 5.08,5.03, 4.91 assuming that = 0.05, test the hypothesis that thepopulation mean is equal to 5. -state the null and alternate hypotheses. -calculate the mean and standard deviation. -determine which test statistic applies, and calculateit. -determine the critical value(s). -state your decision: Should the null hypothesis berejected? A machine produces 5 inch nails. A sample of 12 nails wasselected and their lengths determined. The results are asfollows: 5.01, 5.00, 4.93, 4.95, 4.98, 5.05, 5.01, 5.05, 4.97, 5.08,5.03, 4.91 assuming that = 0.05, test the hypothesis that thepopulation mean is equal to 5. -state the null and alternate hypotheses. -calculate the mean and standard deviation. -determine which test statistic applies, and calculateit. -determine the critical value(s). -state your decision: Should the null hypothesis berejected?

Explanation / Answer

-state the null and alternate hypotheses.
Ho:=5
Ha: not equal 5

-calculate the mean and standard deviation.
mean=xbar= 4.9975,
s=0.0515

-determine which test statistic applies, and calculate it.
test statistic t=(xbar-)/(s/n) =(4.9975-5)/(0.0515/sqrt(12)) = -0.17


-state your decision: Should the null hypothesis berejected?

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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