Simple statistics question.

Statistics Question, test of significance.?

  • Question 1 To determine whether the mean nicotine content of a brand of cigarettes 
is greater than the advertised value of 1.4 milligrams, a health advocacy group tests




 Ho: μ = 1.4 Hα: m > 1.4 The calculated value of of the test statistic is z = 2.42 

(a) Is the result significant at the 5% level? 
(b) Is the result significant at the 1% level?
 Question 2 There are other z statistics that we have not yet studied. We can use Table D ( t distribution critical values) to assess the significance of any z statistic. A study compares the habits of students who are on academic probation with students whose grades are satisfactory. One variable measured is the hours spent watching television last week. The null hypothesis is “no difference” between the means for the two populations. The alternative hypothesis is two sided. The value of the test statistics is z = -1.37

 a) Is the result significant at the 5% level? 
b) Is the result significant at the 1% level?

  • Answer:

    Using MS Excel to lookup the probabity of the z-score in a N(0,1) distributon (Normal) =NORMSDIST(2.42) = the probablity is 0.992239746 I would accep the hypothesis ate both levels. --------------------------------------… cooment I have is who has not heard of data that indicates we should expect the score of AcDem porbations tho wathc more TV. So this ought to be a one-tailed test. 0.085343451 = =NORMSDIST(-1.37)

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