The manager of a paint supply store wants to estimate the actual amount of paint

Question

The manager of a paint supply store wants to estimate the actual amount of paint contained in one gallon cans purchased from a nationally-known manufacturer. The manufacturer specification states that the standard deviation of the amount paint is equal to 0.02 gallon. A random sample of 50 cans is selected, and the sample mean amount of paint per 1 gallon can is 0.999 gallon. Complete parts (a) through (d) rounding to five decimal places as needed.
a) Construct a 99% confidence interval estimate for the population mean amount of paint included in a 1-gallon can.
b) Construct a 90% confidence interval estimate for the population mean amount of paint included in a 1-gallon can.

8.1.9-TI Question Help O The manager of a paint supply store wants to estimate the achual amount of paint contained in 1 gallon cans purchased from a nalionally known manufacturer The manufacturers specifications stale that the standard deviation of the amount of paint is equal to 0.02 galln A random sample of 50 cans is selected, and the sample mean amount of paint per 1-gailon can is 0 999 gallon Complete parts (a) through (d) a Construct a 99% confidence interval estimate for the population mean amount of paint induded na 1 gallon can Round lo frve decimal places as needed J

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary confidence interval:
? : Mean of population
Standard deviation = 0.02

99% confidence interval results:

90% confidence interval results:

Hence,

a) 99% confidence interval:

0.99171 < ? < 1.00629

b) 90% confidence interval:

0.99435 < ? < 1.00365

Mean n Sample Mean Std. Err. L. Limit U. Limit ? 50 0.999 0.0028284271 0.99171445 1.0062855

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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