Question

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 6724 with a mean life of 645 minutes. If the claim is true, in a sample of 152 batteries, what is the probability that the mean battery life would differ from the population mean by more than 8 minutes? Round your answer to four decimal places.

Answer #1

Solution :

Given that ,

mean = = 645

standard deviation = = 82

P(637 < x < 653) = P((637 - 645)/ 82) < (x - ) / < (653 - 645 ) / 82) )

= 1 - (P(-0.098 < z < 0.098) )

= 1 - (P(z < 0.098) - P(z < -0.098))

= 1 - (0.5390 - 0.4610)

= 1 - 0.0780

= 0.9220

Probability = 0.9220

A quality control expert at LIFE batteries wants to test their
new batteries. The design engineer claims they have a variance of
2601 with a mean life of 1191 minutes. If the claim is true, in a
sample of 167 batteries, what is the probability that the mean
battery life would differ from the population mean by more than 3.5
minutes? Round your answer to four decimal places.

A quality control expert at LIFE batteries wants to test their
new batteries. The design engineer claims they have a variance of
8464 with a mean life of 886 minutes.
If the claim is true, in a sample of 145 batteries, what is the
probability that the mean battery life would differ from the
population mean by greater than 13.4 minutes? Round your answer to
four decimal places.

A quality control expert at LIFE batteries wants to test their
new batteries. The design engineer claims they have a variance of
84648464 with a mean life of 886886 minutes.
If the claim is true, in a sample of 145145 batteries, what is
the probability that the mean battery life would differ from the
population mean by less than 13.413.4 minutes? Round your answer to
four decimal places.

A quality control expert at LIFE batteries wants to test their
new batteries. The design engineer claims they have a standard
deviation of 87 minutes with a mean life of 538 minutes. If the
claim is true, in a sample of 134 batteries, what is the
probability that the mean battery life would be less than 547.9
minutes? Round your answer to four decimal places.

A quality control expert at Glotech computers wants to test
their new monitors. The production manager claims they have a mean
life of 82 months with a standard deviation of 7 months.
If the claim is true, what is the probability that the mean
monitor life would differ from the population mean by less than 1.8
months in a sample of 71 monitors? Round your answer to four
decimal places.

A quality control expert at Glotech computers wants to test
their new monitors. The production manager claims they have a mean
life of 8989 months with a standard deviation of 55 months.
If the claim is true, what is the probability that the mean
monitor life would differ from the population mean by less than
1.21.2 months in a sample of 123123 monitors? Round your answer to
four decimal places.

An operation manager at an electronics company wants to test
their amplifiers the design engineer claims they have a mean output
of 118 watts with a variance of 121. what is the probability that
the mean amplifier output would differ from the population mean by
less than 0.6 W in a sample of 77 amplifiers if the claim is
true?

An operation manager at an electronics company wants to test
their amplifiers. The design engineer claims they have a mean
output of 495 watts with a standard deviation of 12 watts. What is
the probability that the mean amplifier output would differ from
the population mean by less than 1.9 watts in a sample of 88
amplifiers if the claim is true? Round your answer to four decimal
places.

A production manager at a wall clock company wants to test their
new wall clocks. The designer claims they have a mean life of 1717
years with a variance of 2525.
If the claim is true, in a sample of 3939 wall clocks, what is
the probability that the mean clock life would differ from the
population mean by less than 22 years? Round your answer to four
decimal places.

A quality control engineer finds that a sample of 100 batteries
had an average lifetime of 470 hours. Assuming a population
standard deviation of σ = 25 hours, test whether the population
mean is 480 hours vs. the alternative hypothesis µ < 480.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 34 minutes ago

asked 37 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago