Question

Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 30 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 5 months, and the distribution of lifetimes is normal.

(a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) %

(b) If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month)? months

Answer #1

Solution :

Given that ,

mean = = 30 months

standard deviation = = 5 months

2 years = 24 months

a) P(x < 24) = P[(x - ) / < (24 - 30 ) / 5 ]

= P(z < -1.20)

Using z table,

= 0.1151

The percentage = 11.51%

b) Using standard normal table,

P(Z < z) = 6%

= P(Z < z) = 0.06

= P(Z < -1.55) = 0.06

z = -1.55

Using z-score formula,

x = z * +

x = -1.55 * 5 + 30

x = 22.25

x = 22 months

Accrotime is a manufacturer of quartz crystal watches. Accrotime
researchers have shown that the watches have an average life of 36
months before certain electronic components deteriorate, causing
the watch to become unreliable. The standard deviation of watch
lifetimes is 5 months, and the distribution of lifetimes is
normal.
(a) If Accrotime guarantees a full refund on any defective watch
for 2 years after purchase, what percentage of total production
will the company expect to replace? (Round your answer to...

Accrotime is a manufacturer of quartz crystal watches. Accrotime
researchers have shown that the watches have an average life of 36
months before certain electronic components deteriorate, causing
the watch to become unreliable. The standard deviation of watch
lifetimes is 4 months, and the distribution of lifetimes is normal.
(a) If Accrotime guarantees a full refund on any defective watch
for 2 years after purchase, what percentage of total production
will the company expect to replace? (Round your answer to...

Accrotime is a manufacturer of quartz crystal watches. Accrotime
researchers have shown that the watches have an average life of 29
months before certain electronic components deteriorate, causing
the watch to become unreliable. The standard deviation of watch
lifetimes is 7 months, and the distribution of lifetimes is
normal.
(a) If Accrotime guarantees a full refund on any defective watch
for 2 years after purchase, what percentage of total production
will the company expect to replace? (Round your answer to...

Accrotime is a manufacturer of quartz crystal watches. Accrotime
researchers have shown that the watches have an average life of 34
months before certain electronic components deteriorate, causing
the watch to become unreliable. The standard deviation of watch
lifetimes is 4 months, and the distribution of lifetimes is normal.
(a) If Accrotime guarantees a full refund on any defective watch
for 2 years after purchase, what percentage of total production
will the company expect to replace? (Round your answer to...

Accrotime is a manufacturer of quartz crystal watches. Accrotime
researchers have shown that the watches have an average life of 32
months before certain electronic components deteriorate, causing
the watch to become unreliable. The standard deviation of watch
lifetimes is 5 months, and the distribution of lifetimes is
normal.
(a) If Accrotime guarantees a full refund on any defective watch
for 2 years after purchase, what percentage of total production
will the company expect to replace? (Round your answer to...

Accrotime is a manufacturer of quartz crystal watches.
Accrotime researchers have determined that the watches have an
average life of 55 months before certain electronic components
deteriorate, causing the watch to become unreliable. The standard
deviation of watch lifetimes is 5 months, and the distribution of
lifetimes is normal.
a. If Accrotime guarantees a full
refund on watches for 4 years (48 months) after purchase, what
percentage of total production will the company expect to
replace?
b. If Accrotime only...

Accrotime is a manufacturer of watches. Accrotime researchers
have shown that watches have an average life of 28 months before
certain electronic components deteriorate causing the watch to
become unreliable. The standard deviation of watch lifetimes is 5
months and the distribution is normal.
1) If Accrotime guarantees a full refund of any defective watch
for 1.5 years after the purchase, what percentage of total
production will the company expect to replace? Write your answer as
a percentage rounded to...

1. Accrotime is a manufacturer of quartz crystal watches.
Accrotime researchers have shown that the watches have an average
life of 29 months before certain electronic components deteriorate,
causing the watch to become unreliable. The standard deviation of
watch lifetimes is 5 months, and the distribution of lifetimes is
normal.
(a) If Accrotime guarantees a full refund on any defective watch
for 2 years after purchase, what percentage of total production
will the company expect to replace? (Round your answer...

1) The amount of money spent weekly on cleaning, maintenance,
and repairs at a large restaurant was observed over a long period
of time to be approximately normally distributed, with mean
μ = $599 and standard deviation σ = $42.
(a) If $646 is budgeted for next week, what is the probability
that the actual costs will exceed the budgeted amount? (Round your
answer to four decimal places.)
(b) How much should be budgeted for weekly repairs, cleaning, and
maintenance...

Quick Start Company makes 12-volt car batteries. After many
years of product testing, the company knows that the average life
of a Quick Start battery is normally distributed, with a mean of
46.0 months and a standard deviation of 7.9 months.
(a) If Quick Start guarantees a full refund on any battery that
fails within the 36-month period after purchase, what percentage of
its batteries will the company expect to replace? (Round your
answer to two decimal places.)
___ %...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 22 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 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago