Abottle filling process has a setting of 48 ounces which is exactly what consumers want when they buy the vegetable oil. a random sample of 36 bottles produced a sample mean of 48.15 ounces with a standard deviation of 0.3 ounces. test the hypothesis at the 2% level of significance.

Answer with explanation:

Given : A bottle filling process has a setting of 48 ounces which is exactly what consumers want when they buy the vegetable oil.

Let represents the population mean .

Then, the set of hypothesis will be:-

, since the alternative hypothesis is two-tailed , so the hypothesis test is a two-tailed test.

We assume that this is normal distribution.

Sample size : n =36, which is a large sample (z<30) , so we use t-test.

Sample mean :

Standard deviation :

The test statistic for population mean for large sample is given by :-

The p-value =

Since the p-value is less than the significance level of 0.02 , therefore we reject the null hypothesis and support the alternative hypothesis.

Thus we conclude that we do not have enough evidence to support the claim that a bottle filling process has a setting of 48 ounces which is exactly what consumers want when they buy the vegetable oil.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2