An engine has a normally distributed horsepower output with mean 5,000 hp and standard deviation of 50 hp. Find a lower specification (find x) limit such that only 0.5% of the engines will not exceed this limit
homework 55
-Please complete the first question on excel
-Question 2-3-4 can be completed on a piece of paper, then take a picture (or scan it or do it on MS Word) of the solutions and submit it along with the excel file (question 1)
1-) “SEMO” is producing “metal washer” that will have to fit into a slot in an assembly. The dimensions are given as below (in millimeters). Assume that you are hired as a manufacturer engineer and company SEMO is requesting following items from you
Please build a histogram in excel and interpret it (25pts)
Sample | x | |||||
1 | 28 | 42 | 54 | 46 | 64 | 54 |
2 | 33 | 36 | 28 | 75 | 63 | 48 |
3 | 36 | 38 | 36 | 37 | 62 | 61 |
4 | 34 | 45 | 47 | 37 | 62 | 48 |
5 | 54 | 45 | 75 | 55 | 18 | 85 |
2-) An engine has a normally distributed horsepower output with mean 5,000 hp and standard deviation of 50 hp. Find a lower specification (find x) limit such that only 0.5% of the engines will not exceed this limit (35pts)
3-) The average IQ score for an engineering class is 100, with a standard deviation of 15. What percentage of this class is expect to have an IQ between 90 and 120? Also, draw the normal curve and shade the area (25pts)
4-) The time to complete an order is given as {96,104,102,108,128,126,156,150}-(15pts)
A) Calcalate the sample average (4pts)
B) Calculate the sample standard deviation (8pts)
C) Calculate the sample variance (3pts)
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