A random sample of 100 pumpkins is obtained and the mean ...

[kellyjaisingh]

A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm.
 
  Assuming that the population standard deviation is known to be 1.6 cm, use a 0.05 significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm.

Question 2

A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 16 tosses.
 
  What is the probability of being correct 16 or more times by guessing? Does this probability seem to verify her claim?
  A) 0.0069 , no B) 0.4931 , no C) 0.0069 , yes D) 0.4931 , yes

[amandanbreshears]

Answer to Question 1

:  = 39.9; :   39.9. Test statistic: 3.75. P-value: 0.0002. Reject . There is sufficient evidence to warrant rejection of the claim that the mean equals 39.9 cm.

Answer to Question 2

C