Bonnie and Kate buy some better burner brand microwave popcorn in the 25 bag extra value pack. this brand claims perfect popcorn with mean Poppin time of 4 minutes and cites studies which show that...

Bonnie and Kate buy some better burner brand microwave popcorn in the 25 bag extra value pack. this brand claims perfect popcorn with mean Poppin time of 4 minutes and cites studies which show that all brands of microwave popcorn have normally distributed popping times with standard deviation 0 =0.7 minutes. Before sampling the 25 bag of popcorn themselves, they pop all 25 bags in there sample and compute a mean popping time x=3.7 minutes.

Is the significant evidence that the true mean popping time really is different from (not equal to) 4 minutes? Set up appropriate null and alternative hypothesis, calculate the appropriate test statistic, find the p-value, and state your conclusion. Use x= .05