A manager at a sweet store suspected the mean weight of lollies customers fill in a bag and pay by weight was less than 250 grams (gm). She took a random sample of 35 customers and found the mean bag weight of 247.50 gm with standard deviation 8.5 gm. At the 5% level of significance, test if the manager's belief is correct. Use the critical value method.

A manager at a sweet store suspected the mean weight of lollies customers fill in a bag and pay by weight was less than 250 grams (gm). She took a random sample of 35 customers and found the mean bag weight of 247.50 gm with standard deviation 8.5 gm. At the 5% level of significance, test if the manager's belief is correct. Use the critical value method. (a) In the context of this question, define and describe what is a Type II error