The normally distributed AAA battery life is stated to be 350days when used in a

The normally distributed AAA battery life is stated to be 350days when used in a clock radio. The Big Charge Battery Company hasrecently modified the AAA batteries so as to extent their life. Theowner of the company wanted to know if the improved batteriesreally did last significantly longer. A sample of 100 of theimproved batteries was tested. It was discovered that the mean lifewas 362 days and the sample standard deviation was 10 days. Theresearch department decided to conduct the test at the 0.05 levelof significance whether the modification actually increased thelife of the AAA battery. What was their decision rule?A. Reject the null hypothesis if computed z is lessthan 1.96.B. Do not reject the null hypothesis if computed z is1.65 or greater.C. Do not reject the null hypothesis if the z teststatistics is 1.96 or greater.D. Reject the null hypothesis if computed z is 1.96 orgreater.