Question

The average IQ score is 100. To test the hypothesis that eating fish makes one smarter, a random sample of 12 persons take a fish oil supplement for one year and then are given an IQ test. The mean of the sample is 106 with a standard deviation of 8.83. Does the data support the claim that eating fish increases one's IQ? Use a significance level of 0.01. show all work.

Answer 1

Solution :

= 100

=106

S =8.83

n = 12

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    = 100

Ha : > 100

Test statistic = t

= ( - ) / S / n

= (106-100) / 8.83 / 12

= 2.354

Test statistic = t = 2.354

P-value =0.0191

= 0.01  

P-value >

0.0191 > 0.01

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that