Hi, My prof keeps refering to the \"table\" in his lectures regarding margin of

Question

Hi,

My prof keeps refering to the "table" in his lectures regarding margin of error and interval estimates. I have no idea which table he is talking about but he "encourages us to figure it out on own own". Well I cant. So specifically the +/- 1.96 I realize it comes from a distribution table but which one and how do I find it.

Thanks

Interval Estimation of u 1 and 2 Known 42: (15)2 (20) 120 80 17 +5.14 or 11.86 yards to 22.14 yards We are 95% confident that the difference between the mean driying distances of Par, Inc, balls and Ra Ltd. balls is 11.86 to 22.14 yards. © 2014 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Slide 12

Explanation / Answer

1.96 comes from the Normal Distribtion. In the given example, we are interested in finding the 95% Confidence Interval of difference between two means and here population Standard deviation are known , so we use Z or Normal Distribution

You can find 1.96 either by using normal table or you can use technology ( Excel), We have to find the value such that area to the left is (0.95+(1-0.95)/2)

Use excel function

NORMSINV(0.95+(1-0.95)/2)

= 1.96

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