John oversees a bottle-filling machine in a company.

John oversees a bottle-filling machine in a company. The amount of
fluid dispensed into each bottle is approximately normally distributed with an unknown population standard deviation. On a particular day, a random sample of 400 bottles yielded a mean of 357.2 ml and a standard deviation of 16.2 ml. John then concluded that the poplulation standard deviation of the fluid dispense amount by the machine is greater than 15ml. use a .05 signifiance level to test John’s claim.

Identify the null hypothesis and alternative hypothesis. Determine the test statistic. Determine the p-value. Determine conclusion.

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