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Ymorist [56]
3 years ago
7

A manufacturer of cream filled donuts collected data from its automatic filling process, the amount of cream inserted into the d

onuts is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 donuts. The correct value of t* to construct a 99% confidence interval for the true mean amount of cream filling is ________. Group of answer choices 2.797 1.318 1.711 2.060 2.787
Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Answer:

The correct value is t* = 2.797.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a  two-tailed confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.797.

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