The time taken for healthy Canadian adults to complete a logic problem is believed to be normally distributed with mean 40 seconds and standard deviation 4 seconds. A researcher wants to investigate whether UBC students perform better on average than healthy adult Canadians, so the logic problem is given to a sample of 80 UBC students, and it is found that their mean is 38 seconds with a standard deviation of 3.4 seconds. Determine ALL of the following that are true.
A. There is insufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is greater than the mean time for healthy adult Canadians.
B. There is insufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is the same as the mean time for healthy adult Canadians.
C. There is insufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is less than the mean time for healthy adult Canadians.
D. There is sufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is the same as the mean time for healthy adult Canadians.
E. There is sufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is less than the mean time for healthy adult Canadians.
F. There is sufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is greater than the mean time for healthy adult Canadians.

Respuesta :

Answer: check Explanation.

Step-by-step explanation:

IF we are to REJECT the null Hypothesis we can conclude and take option E that is;

"There is sufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is less than the mean time for healthy adult Canadians''.

If the time taken for healthy Canadian adults to complete a logic problem is with mean = 40 seconds, and standard deviation= 4 seconds.

Then, a sample of 80 UBC students are sampled and it is found that their mean = 38 seconds with a standard deviation = 3.4 seconds.

Students take mean = 38 seconds which is less than that of the healthy Canadian adults that take mean = 40 seconds. Same thing with the standard deviation.