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 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.

Solutions

Expert Solution

Solution :

Given that ,

mean = = 17

variance 2 =  16

standard deviation = = 4

n = 43

= 17

= / n = 4/ 43 = 0.61

P( > 17.9) = 1 - P( <17.9 )

= 1 - P[( - ) / < (17.9-17) /0.61 ]

= 1 - P(z < 1.48)

Using z table

= 1 - 0.9306

= 0.0694

probability=0.0694

orchestra answered 2 years ago
Next > < Previous

Related 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 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.
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
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT