Answer to Question #106789 in Statistics and Probability for Yusuf

Question #106789

Mmabatho the Social Scientist took a random sample of 30 adults with Autism Spectrum Disorder (ASD) and found their reading time to be normally distributed with sample mean and sample
standard deviation of 90 wpm and 18 wpm respectively.

Question 15
Botlhale and Mmabatho are collaborating to test the hypothesis that the mean reading time of
adults with ASD is less that 100. Consider information provided for question 5 and 6 and
assume a 5% level of significance.
Which of the following statements is incorrect?
(1) A one sided test is applicable.
(2) The critical value is 2:045.
(3) The value of the test statistic is 3:04.
(4) The p-value is less than 0:005.
(5) We reject H0 and conclude that the mean reading time of adults with ASD is less than 100

Expert's answer

The critical value for one sided test is 1.699.

Thus, the statement:

(2) The critical value is 2:045.

is incorrect.

Test statistic is t=3.04.

P-value is p=0.002.