2.(25 pts) onia samples (at random) the diameter of ball bearings that are produ

Question

2.(25 pts) onia samples (at random) the diameter of ball bearings that are produced in an assembly line. The differences in measured diameter are purely random. She measures sample mean of 120.0 mm and a sample standard deviation of 2.00 mm. 1000 ball bearings and calculates a a. Sonia would like to report th S 2 b. onia expects that all ball bearings that are larger than 124.0 mm will be rejected by her customer ate the percentage of ball bearings that the customer may accept, Give your answer to three significant figures and sketch what you are calculating. The customer demands that only 3% of the ball bearings be rejected due to their diameter being unacceptably large. How many ball bearings does the customer reject? Sketch what you are calculating. What is the maximum acceptable ball bearing diameter corresponding to this customer's requirement in mm. Give your answer to four significant figures and sketch what you are calculating. d.

Explanation / Answer

Ans:

a)95% Confidence interval

=120+/-2*2

=120+/-4

=(116,124)

b)P(X>124)

z=(124-120)/2=4/2=2

P(z>2)=1-P(z<2)=1-0.97725=0.02275

2.275% will be rejected and 97.725% will be accepted.

c)0.03*1000=30

d)

P(Z>=z)=0.03

P(Z<=z)=0.97

z=1.881

x=120+1.8808*2=123.7616

maximum diameter that will be acceptable will be 123.7616

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

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