The expected fill of bottles of a beverage filled in a bottling plant is 750 mil

Question

The expected fill of bottles of a beverage filled in a bottling plant is 750 milliliters (ml).  A random sample of n = 24 bottles provided a sample mean of x? = 750.67 with a standard deviation of s = 1.971.  Does the sample provide significant evidence that the mean fill exceeds the expected fill?  Compute the test statistic (TS) and the critical value at the 5% level of significance.  TS = _______.

A 2.107 Reject H?. Conclude   the mean fill is greater than the expected fill. B 2.107 DNR H?. Conclude the mean fill is   not greater than the expected fill. C 1.667 Reject H?. Conclude the mean fill is   greater than the expected fill. D 1.667 DNR H?. Conclude the mean fill is   not greater than the expected fill.

Explanation / Answer

The test statistic is

t=(xbar-mu)/(s/vn)

=(750.67-750)/(1.971/sqrt(24))

=1.665

Answer:

D 1.667 DNR H?. Conclude the mean fill is not greater than the expected fill.

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