A machine used to fill gallon-sized paint cans is regulated so that the amount o

Question

A machine used to fill gallon-sized paint cans is regulated so that the amount of paint

A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 138 ounces and a standard deviation of 0.20 ounce. You randomly select 35 cans and carefully measure the contents The sample mean of the cans is 137.9 ounces. Does the machine need to be reset? Explain your reasoning. I, it is | that you would have randomly sampled 35 cans with a mean equal to 137.9 ounces, because it within the range of a usual event, namely within | of the mean of the sample means

Explanation / Answer

std error of mean =std deviation/(n)1/2 =0.20/(35)1/2 =0.0338

hence test stat z =(137.9-138)/0.0338=-2.9586

therfore :

Yes it is unusual that you wiould have .................because it is not within the range of usual event namely within 2 std deviation of the means of sample means

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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