A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 4.4kg are dispensed. Suppose that the average amount dispensed in a particular sample of 20 bottles is Xn 4.34kg with a sample variance Sn = 0.0175kg². It is of interest to know if the machine should be stopped and production wait for repairs. Assume that the data follows a normal distribution. Which of the following statements are true? Based on the provided evidence, the machine should be stopped for repairs with a significance level a = 0.1. The test statistic follows a t-Student distribution with 19 degrees of freedom. The test-statistic has an observed value of 2.0284. The test statistic follows a normal distribution with mean u = 4.4 and variance o = 0.0175.

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A manufacturer of salad dressings uses machines to dispense liquid ingredients into
bottles that move along a filling line. The machine that dispenses salad dressings is
working properly when
4.4kg are dispensed. Suppose that the average amount dispensed in a particular
sample of
20 bottles is
4.34kg with a sample variance
:0.0175kg². It is of interest to know if the machine should be stopped and
Xn
production wait for repairs. Assume that the data follows a normal distribution.
Which of the following statements are true?
Based on the provided evidence, the machine should be stopped for repairs with
a significance level a =
0.1.
The test statistic follows a t-Student distribution with 19 degrees of freedom.
The test-statistic has an observed value of 2.0284.
The test statistic follows a normal distribution with mean u = 4.4 and
variance o2
0.0175.
Transcribed Image Text:A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 4.4kg are dispensed. Suppose that the average amount dispensed in a particular sample of 20 bottles is 4.34kg with a sample variance :0.0175kg². It is of interest to know if the machine should be stopped and Xn production wait for repairs. Assume that the data follows a normal distribution. Which of the following statements are true? Based on the provided evidence, the machine should be stopped for repairs with a significance level a = 0.1. The test statistic follows a t-Student distribution with 19 degrees of freedom. The test-statistic has an observed value of 2.0284. The test statistic follows a normal distribution with mean u = 4.4 and variance o2 0.0175.
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