In: Statistics and Probability
The claim is that the IQ scores of statistics professors are normally distributed, with a mean less than 125. A sample of 19 professors had a mean IQ score of 123 with a standard deviation of 4. Find the value of the test statistic. The value of the test statistic is .....
Solution :
This is the left tailed test .
The null and alternative hypothesis is ,
H0 : = 125
Ha : < 125
Test statistic = z
= ( - ) / / n
= (123 - 125) / 4 / 19 = -2.179
The value of the test statistic is -2.179