Question

Correctly label and find the test statistic for testing if the true mean number of M&M candies in a bag is less than the companies claim of 400. The, find an approximate p-value from that test statistic and state what type of conclusion error you can possibly be making.

xbar = 395, s = 18, n = 44, alpha = .05.

Answer 1

Solution :

= 400

=395

S =18

n = 44

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 400

Ha : < 400

Test statistic = t

= ( - ) / S / n

= (395-400) / 18 / 44

= -1.842

Test statistic = t =  -1.842

P-value =0.0361

= 0.05  

P-value <

0.0361 < 0.05

Reject the null hypothesis .

There is sufficient evidence to suggest that