Question

An athletics coach claims that the amount of illegal substances in his supplements should be normally distributed with a mean of 10 milligrams and standard deviation of 2 milligrams. Obviously for the purposes of avoiding detection and also maximisation of performance, his country's olympic committee would like to know if this is true. Use a 5% level of significance. They have taken a random sample of 8 tablets and tested them: Tablet illegal Substance(mg) 4.3 4.4 4.8 DN in 1. What is the value of Ei for the first tablet? (4 decimal places) 2. What is the value of the test statistic, D? (4 decimal places) 3. Is the null hypothesis rejected? (enter yes or no) 4. On the basis of this test, is the amount of illegal substances in the coach's supplements normally distributed with a mean of 10 milligrams and standard deviation of 2 milligrams? (enter yes or no)

Answer 1

pg No - 1 Solutions in Given in > Normally → Standard → u = 10 distributed mean to milligram deviation & milligrams + x = 5% Tablet substance (eng) 4.3 مل 14:44 کر 4.8 تل 6.8 7-1 ل ه 7.5 نه 8.2 وه * = * sa Sample mean 's foto § 5 .3+14.4 +48 +6.844.1+4.5+80+

i = 20.3 Pg.no - 2 fp = ( = =) olevan - 0.63214 Q. = 20.3 - 10) TO 16.2857 3. Rejected Hypothesis at (1-4)*100% , 모 11>제12 si no [regject] mean 4 There not enough doffee to 104 ooh Level signifance evidence pollution at x = 5% yes.