Question

please anwser the following question below there are 3 separatw part to rhis one question

Assume that cans o cola are filed such that the actual amounts have a population mean of μ 12.00 ounces. A random sample of 36 cans has a mean amour t of 12.27 ounces. The distribution of sample means of size n-36 is normal with an assumed mean of 12.00 ounces, and those sample means have a standard deviation of 0.04 ounce. Complete parts (a) through (c) below. a. How many standard deviations is the sample mean away from the mean of the distribution of sample means? (Round to two decimal places as needed.) b. In general, what is the probability that a random sample of size 36 has a mean of at least 12.27 ounces? Round to two decimal places as needed.) G.Does it appear that consumers are being cheated? Why or why not? the probability that cans of cola are filed such that the that consumers are being cheated. Since the probability from part (b) is so It appears most likely that the actual population mean is actual amounts have a population mean of less than 12.00 is

Answer 1

(a)

The required number is

$\frac{12.27-12}{0.04}=6.75$

(b)

$P(\bar{x}\geq 12.27)=P(z\geq 6.75)=1-P(z<6.75)=0.0000$

(c)

It does not appear that ...

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(a)

The population proportion of defective tablets is

$p=\frac{1131}{26334}=0.043$

(b)

The sample proportion of defective tablets is

$\hat{p}=\frac{15}{220}=0.068$

(c)

Correct option is D.