Question

A new method for producing synthetic diamonds can be operated at a profitable level only if the average weight of the diamonds is greater than 0.5 karat.

To evaluate the profitability of the process, six diamonds are generated, with recorded weights 0.46, 0.61, 0.52, 0.48, 0.57, and 0.54 karat. We want to determine whether the six measurements present sufficient evidence to indicate that the average weight of the diamonds produced by the process is in excess of 0.5 karat. What are the null and the alternative hypotheses?

Answer 1

Answer: consider 06;? weight of diamonds, alli Average weigh of diamonds ni Sample size: 6 X: sample mean. a Si Sariple standard deviation , Xi's cere, 0.46, 0.61, 0.52, 0.698, 0.57, 0.54 I null and the alternative hypothes is are > Hoi il soo5 vsi Hii M > 0.5