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| | #1 (permalink) |
| doesn't get it Join Date: Apr 2003 Location: Canada
Posts: 130
| STAT267: Good at statistics? Want to help with a homework question? I need help. ---- The Rockwell hardness index for steel is determined by pressing a diamond point into the steel and measuring the depth of penetration. We wish to test, with a level of significance of 5%, the null hypothesis that the mean Rockwell index for a certain type of steel is is 75.0 versus the alternative hypothesis that it is not equal to 75.0. For 30 specimens of a this type of steel, the Rockwell hardness index averaged 72.5 with a standard deviation of 8.20. What is the p-value for this test. State your answer to 3 places of decimal. ---- Ok so: α = 0.05 Ho: µ= 75.0 Ha: µ != 75.0 n = 30 for the sample measured: _ x = 72.5 σ = 8.20 I am working on it on my own right now. I am having a hard time. |
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| | #3 (permalink) |
| Registered User Join Date: Dec 2002
Posts: 171
+1 Internets | I think you are wrong. You have your null and alternative hypothesis setup correctly assuming that != means not equal to. The standard deviation should be s and not sigma, but it doesn't really matter how you identify it as long as you plug it into the formula correctly. First, you need to realize that this is a two sided test (due to the fact that your alternative is not equal to), so you want the two tail areas, which are basically symmetric. Find your test statistic either using a z or t distribution, I prefer t, but it shouldn't really matter given the large sample size. T.S. = x bar - mu / (s or sigma / sqr rt of n) I got 22.40 Then using a t or z distribution (doesn't really matter since your n is 30) you get an extremely small p value. I don't have minitab or another program to know the exact p value but an answer of p-val < .01 should be fine. You reject the null hypothesis (Ho). From this data, we are 95% confident (or confident at the 5% level of significance) that the mean Rockwell index for a certain type of steal is different than 75 on average in the population. It appears from the data that the mean average in the population is smaller than 75.
__________________ Scorpvenom Overlord |
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| | #5 (permalink) |
| Registered User Join Date: Jan 2003 Location: Ontario, Canada.
Posts: 1,503
+9 Internets | what kind of steel are we talking about? HRPO? CR? flat bar? are you just trying to determine the gauge of the steel? or how much preasure it can take?
__________________ Blaezen Feanturi. 65th Halfling OverLord of the Vallon Zek Sever. |
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| | #6 (permalink) | |
| Sons of the Storm Heal Bitch Join Date: May 2003
Posts: 771
+2 Internets | Quote:
Anyways I did a Z-test an got a p of .094942. I'm not sure if that's the correct test to do since it's been a while. | |
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| | #7 (permalink) | |
| Sons of the Storm Heal Bitch Join Date: May 2003
Posts: 771
+2 Internets | Quote:
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| | #10 (permalink) |
| Registered User Join Date: Jan 2003 Location: Ontario, Canada.
Posts: 1,503
+9 Internets | the type of steel OBVIOUSLY FUCKING DETERMINES ITS STATISTICS YOU FUCKING IMBECILE. hi different types of steels are made differently, meaning different chemicles and or different process of making it. HRPO = hot rolled pickled & Oiled. CR = Cold Rolled. etc.. What the fuck kind of retard are you? DURRR THE TYPE OF BREAD DOESENT DETERMIN ITS CALORIES/SODIUM/CARBS! HAW HAW DURR. seriously you stupid cunt, dont ever fucking put your mouth where it doesen't belong. it'll get your ass owned.
__________________ Blaezen Feanturi. 65th Halfling OverLord of the Vallon Zek Sever. |
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| | #13 (permalink) | |||
| Banned Join Date: Oct 2002 Location: Springfield, Ohio
Posts: 1,685
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Maybe try high school again, or perhaps community college? | |||
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