Question

11. The amount of soda dispensed by a machine varies normally with μ = 12 ounces...

11. The amount of soda dispensed by a machine varies normally with μ = 12 ounces & σ = 0.18 ounces. There is a belief that the machine is underfilling the cups. A SRS of 6 cups has x = 11.93 ounces. Can we be 95% confident that the machine is underfilling the cups?

Math   Statistics-And-Probability   
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Answer #1

H0: = 12

Ha: < 12

Test statistics

z = - / / sqrt(n)

= 11.93 - 12 / 0.18 / sqrt(6)

= -0.95

This is test statistics value.

p-value = P( Z < z)

= P( Z < -0.95)

= 0.1711

Since p-value > 0.05 significance level, we fail to reject the null hypothesis.

We fail to support the claim that the machine is under filling the cups.

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