Question: A new process has been designed to make ceramic tiles. The goal is to have no more than 5% of the tiles be nonconforming due

A new process has been designed to make ceramic tiles. The goal is to have no more than 5% of the tiles be nonconforming due to surface defects. A random sample of 1000 tiles is inspected. Let X be the number of nonconforming tiles in the sample.
a. If 5% of the tiles produced are nonconforming, what is P(X ≥ 75)?
b. Based on the answer to part (a), if 5% of the tiles are nonconforming, is 75 nonconforming tiles out of 1000 an unusually large number?
c. If 75 of the sample tiles were nonconforming, would it be plausible that the goal had been reached? Explain.
d. If 5% of the tiles produced are nonconforming, what is P(X ≥ 53)?
e. Based on the answer to part (d), if 5% of the tiles are nonconforming, is 53 nonconforming tiles out of 1000 an unusually large number?
f. If 53 of the sample tiles were nonconforming, would it be plausible that the goal had been reached? Explain.

Step by Step Solution

★★★★★

3.45 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a If the claim is true then X Bin1000005 so X is approximately normal with mean X 1000005 50 and X 1... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

944-S-J-P-D (2120).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A new process has been developed for applying photoresist to 125-mm silicon wafers used in manufacturing integrated circuits. Ten wafers were tested, and the following photoresist thickness...

A gear has been designed to have a diameter of 3 inches. The standard deviation of the process is 0.2 inch. A control chart is shown. Each chart has horizontal lines drawn at the mean , at 2, and...

A nail has been designed to have a length of 4 inches. The standard deviation of the process is 0.12 inch. A control chart is shown. Each chart has horizontal lines drawn at the mean , at 2, and at...

a new process has been designed to make ceramic tiles. the goal is to have no more than 5 % of the tiles be nonconforming. What is the p ( x > 7 5 )

This text was adapted by The Saylor Foundation under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License without attribution as requested by the work's original creator or licensee....

QUESTION 1 One of the best all-wheel-drive sports utility vehicles was developed by KIA Motors, Ltd. (KML) during the Covid-19 pandemic era in 2020. As part of the marketing campaign, KML produced a...

Mossaic Tiles, Ltd. Gilbert Moss and Angela Pasaic spent several summers during their college years working at archaeological sites in the Southwest. While at those digs, they learned how to make...

This case study is based on a published analysis of two process routes for making granules used in ceramic tile production.* We start with a Current State using the incumbent wet method and ask you...

To the first settlers, the Great Plains posed the same problem as the oceans today: a vast, open area where there seemed to be no way to protect animals. But animals thrived once the settlers divvied...

Weathermaster Window Company manufactures windows for the home-building industry. The window frames are produced in the Frame Division. The frames are then transferred to the Glass Division, where...

Rachel owns 1 0 0 % of the stock of Cardinal Corporation, since 2 0 1 5 . In the current year - 2 0 2 4 - Rachel transfers an appreciated asset, with tax basis of $ 1 8 0 , 0 0 0 and fair market...

An economy is running a current account deficit. How does a reduction in the fiscal deficit affect the current account and the gross national product (GNP) in the medium run?

For some data sets, the F statistic will reject the null hypothesis of no difference in mean yields, but the TukeyKramer method will not find any pair of means that can be concluded to differ. For...

The article referred to in Exercise 15 also presents measurements of Young??s modulus for side members of T-braced assemblies. The following table presents data in which the factors are the length of...

The article ??The Lubrication of Metal-on-Metal Total Hip Joints: A Slide Down the Stribeck Curve?? (S. Smith, D. Dowson, and A. Goldsmith, Proceedings of the Institution of Mechanical Engineers,...

4. Solve the partial differential equation: au = 6x* (2 y - 1) given that u (0,y)=sin(2y) and u(0, y) = cos(y) Or? [14 Marks)

Sleep Comfort Corp. is considering a new product: the Ejector Bed. The Ejector Bed allows either person ( left or right ) to eject the other person off of the bed at the touch of a button. The...

Answers for 1-6 Unit 15.1 Home ownership and mortgage payments 1. Is a home considered (a) personal property or (b) real property? 2. In the event a foreclosure sale does not provide a lender with...