Show your work and do not forget to use your best mathematies writing skills. ha

Question

Show your work and do not forget to use your best mathematies writing skills. have fun as usal and smiley you can do it (by now it should be much easier to deal with this stuff) Each problem is worth 15 points which are averaged for your final score. An industrial company cliams that the mean pH level ol the water in a nearby river is 6-8. You randomly select 19 water saniples and meaaure the pH of each. The sample mean and standard deviation are 6 7 and 0 24. respectively. Is there enough the company's claim At alpha = 0.05 significance level? Anauine the population ia normally distributed. Interpret your result.

Explanation / Answer

Set Up Hypothesis
Null, H0: U=6.8
Alternate, H1: U!=6.8
Test Statistic
Population Mean(U)=6.8
Sample X(Mean)=6.7
Standard Deviation(S.D)=0.24
Number (n)=19
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =6.7-6.8/(0.24/Sqrt(19))
to =-1.816
| to | =1.816
Critical Value
The Value of |t | with n-1 = 18 d.f is 2.101
We got |to| =1.816 & | t | =2.101
Make Decision
Hence Value of |to | < | t | and Here we Do not Reject Ho
P-Value :Two Tailed ( double the one tail ) -Ha : ( P != -1.8162 ) = 0.086
Hence Value of P0.05 < 0.086,Here We Do not Reject Ho

We have evidence that company cliam is accepted at given LOS

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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