Question
In: Statistics and Probability
A production manager at a wall clock company wants to test their new wall clocks. The...
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 1414 years with a variance of 1616.
If the claim is true, in a sample of 4040 wall clocks, what is the probability that the mean clock life would differ from the population mean by less than 0.40.4 years? Round your answer to four decimal places.
Solutions
Expert Solution
Solution :
Given that,
mean = 
= 14
standard deviation = 
= 4
=
/ 
n = 4 /
40 = 0.6325
= P[(-0.4) / 0.6325< (
-
)
/
< (0.4) / 0.6325)]
= P(-0.63 < Z < 0.63)
= P(Z < 0.63) - P(Z < -0.63)
= 0.7357 - 0.2643
= 0.4714
Probability = 0.4714
orchestra answered 2 years agoRelated Solutions
A production manager at a wall clock company wants to test their new wall clocks. The...
A production manager at a wall clock company wants to test their
new wall clocks. The designer claims they have a mean life of 16
years with a variance of 16. If the claim is true, in a sample of
48 wall clocks, what is the probability that the mean clock life
would differ from the population mean by greater than 0.7 years?
Round your answer to four decimal places.
A production manager at a wall clock company wants to test their new wall clocks. The...
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 1616.
If the claim is true,
in a sample of 4343 wall clocks, what is the probability that the
mean clock life would be greater than 17.917.9 years? Round your
answer to four decimal places.
A production manager at a wall clock company wants to test their new wall clocks. The...
A production manager at a wall clock company wants to test their
new wall clocks. The designer claims they have a mean life of 14
years with a variance of 25. If the claim is true, in a sample of
50 wall clocks, what is the probability that the mean clock life
would differ from the population mean by less than 1.5 years? Round
your answer to four decimal places.
Skagen-Tvosky Clock Manufacturers, LLC claim that their wall clocks on average will neither gain nor lose...
Skagen-Tvosky Clock Manufacturers, LLC claim that their wall
clocks on average will neither gain nor lose time throughout the
week. A sample of 18 wall clocks showed the following gains (+) or
losses (-) in seconds per week. Is it reasonable to conclude that
the mean gain or loss in time for the watches is 0?
0.10
0.10
0.40
-0.32
-0.30
-0.23
-0.20
0.25
-0.10
-0.37
-0.61
0.20
-0.30
-0.64
0.40
-0.20
-0.68
-0.40
A.)
State the decision rule for...
In a company that makes assorted clocks, the new manager will like to report on the...
In a company that makes assorted clocks, the new manager will
like to report on the sales mix of the company. The company’s fixed
cost for the three styles of clocks is $729,000. Time Tellers sales
mix, and contribution margin per crate are shown below: Product
Type Sales Mix Contribution Margin per crate Red 35% $140 Brown 65%
$130 Green 25% $66 Required: a. Based on the current sales mix,
compute the weighted average contribution margin per crate. b. Compute...
A quality control expert at Glotech computers wants to test their new monitors. The production manager...
A quality control expert at Glotech computers wants to test
their new monitors. The production manager claims they have a mean
life of 73 months with a standard deviation of 7 months.
If the claim is true, what is the probability that the mean
monitor life would be greater than 72.1 months in a sample of 109
monitors? Round your answer to four decimal places.
A quality control expert at Glotech computers wants to test their new monitors. The production manager...
A quality control expert at Glotech computers wants to test
their new monitors. The production manager claims they have a mean
life of 83 months with a variance of 81. If the claim is true, what
is the probability that the mean monitor life would be greater than
81.2 months in a sample of 146 monitors? Round your answer to four
decimal places.
Crono Clocks is looking at a Clock Machine with an installed cost of $900,000. This cost...
Crono Clocks is looking at a Clock Machine with an installed
cost of $900,000. This cost will be depreciated straight-line to
zero over the project’s five-year life, at the end of which the
Clock Machine can be scrapped for $111,000. The clock system will
save the firm $299,000 per year in pretax operating costs, and the
machine requires an initial investment in net working capital of
$67,000.
If the tax rate is 34 percent and the discount rate is...
Q32 The manufacturer of a quartz travel alarm clock claims that, on the average, its clocks...
Q32 The manufacturer of a quartz travel alarm clock claims that,
on the average, its clocks deviate from perfect time by 30 seconds
per month, with a standard deviation of 10 seconds. Engineers from
a consumer magazine purchase 40 of the clocks and find that the
average clock in the sample deviated from perfect accuracy by 34
seconds in one month. [4 Marks]
(a) If the manufacturer’s claim is correct (i.e., seconds,
seconds), what is the probability that the average...
Suppose two highly precise, identical clocks are synchronized and one clock is placed at the North...
Suppose two highly precise, identical clocks are synchronized
and one clock is placed at the North Pole and one clock is placed
at the equator. After 100 years, how much will the clocks differ in
time? You can assume Earth is a perfect sphere of radius 6.37 x
106 m and makes one revolution in exactly 24 hours.
(You will have to use a spreadsheet program that holds a lot of
decimal places rather than your calculator to find your...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Non-constant growth model: Do=$2.00 required return on equity= 5% g= 9% n=1,2 g=7% n=3,4 g=3% n=5...
- . Find all x ∈ Z143 such that x2Ξ 7 (mod 143). Please explain all steps...
- #Python: A palindrome is a sequence of characters that reads the same backwards as forwards. For...
- Explain an example in which a variable has two different addresses at different places in a...
- Hadley, a thirty-five-year-old physician, has worked at Princeton Plainsboro Hospital for six years. She recently received...
- QUESTION 1. For each of the following, state whether the occurrence of the variable x occurs...
- According to Mike Taft of RVK, the “Markets Group” is an important unit of the Federal...
ADVERTISEMENT