A process that produces bottles of the essence, when operating correctly, produces bottles whose contents weigh, on average, 50 g. A random sample of 25 bottles from a single production run yielded a mean weight of 51.5 g and a standard deviation of 5.5 g. Assuming that the population distribution is normal, test at the 5% level, whether the process is operating correctly. Which of the following statements about the above hypothesis testing is/are true? Select one or more: The appropriate null and alternative hypotheses for the test are H0: μ = 51.5 ; H1: μ ≠ 51.5 The appropriate sampling distribution for the test is a t-distribution with 25 degrees of freedom The test statistic for the test is 1.36 There is no enough evidence to reject H0 at 5% level of significance The process is operating correctly
A process that produces bottles of the essence, when operating correctly, produces bottles whose contents weigh, on average, 50 g. A random sample of 25 bottles from a single production run yielded a mean weight of 51.5 g and a standard deviation of 5.5 g. Assuming that the population distribution is normal, test at the 5% level, whether the process is operating correctly.
Which of the following statements about the above hypothesis testing is/are true?
Select one or more:
The appropriate null and alternative hypotheses for the test are H0: μ = 51.5 ; H1: μ ≠ 51.5
The appropriate sampling distribution for the test is a t-distribution with 25 degrees of freedom
The test statistic for the test is 1.36
There is no enough evidence to reject H0 at 5% level of significance
The process is operating correctly
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