No need for very detailed responses! Just a simple explanation and indication of the correct answer to help me with my stats homework.

1A) Assume that new eco-friendly plastic bags have a mean strength of 90 megapascals with a standard deviation of 10 MPa. Suppose that a sample of 64 bags is selected. What is the probability that the sample mean will be between 87.5MPa and 92.5Mpa? (All sampling distribution conditions are satisfied)

A) 0.0456

B) 0.9544

C) 0.5000

D)0.9772

E) 0.0228

1B) Assume that new eco-friendly plastic bags have a mean strength of 90 megapascals with a standard deviation of 10 MPa. Suppose that a sample of 64 bags is selected. What is the probability that the sample mean will be more than 93.75MPa? (All sampling distribution conditions are satisfied)

A) 0.0012

B) 0.9375

C) 0.4994

D) 0.3538

E) 0.9987

2A)

The t distribution approaches .............. as the sample size increases. As the sample sizes increases the critical t value..........

A) Z distribution; stays the same

B) 0; decreases

C) 0; increases

D) Z distribution; increass

E) Z distribution; decreases

Thank you so much!