1. A popular beverage is bought in 330 mL bottles. If a bottle is marked as...

 

Transcribed Image Text:

1. A popular beverage is bought in 330 mL bottles. If a bottle is marked as containing 330 mL of any liquid, regulations require that samples taken from a given production batch of that product have a mean value of at least 330 mL (in this case). [E20p231] a. Formulate the hypotheses (null and alternative) that could be used to determine whether the mean fill volume of batch production of this beverage satisfies the legal requirement of at least 330 mL. [5 pts] b. Assume you have taken a random sample of 30 bottles from the production line in a given batch, and found the mean fill for those bottles to be 329.5, with a sample standard deviation of 1.9 mL. With an alpha value of 0.01, please 1) draw the Standard-Normal distribution and label all elements, 2) calculate the test statistic, 3) test your hypothesis, and 4) state your conclusion as to whether or not to reject Ho? [10 pts] 1. A popular beverage is bought in 330 mL bottles. If a bottle is marked as containing 330 mL of any liquid, regulations require that samples taken from a given production batch of that product have a mean value of at least 330 mL (in this case). [E20p231] a. Formulate the hypotheses (null and alternative) that could be used to determine whether the mean fill volume of batch production of this beverage satisfies the legal requirement of at least 330 mL. [5 pts] b. Assume you have taken a random sample of 30 bottles from the production line in a given batch, and found the mean fill for those bottles to be 329.5, with a sample standard deviation of 1.9 mL. With an alpha value of 0.01, please 1) draw the Standard-Normal distribution and label all elements, 2) calculate the test statistic, 3) test your hypothesis, and 4) state your conclusion as to whether or not to reject Ho? [10 pts]