Exhibit 11-3 The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounce. We are interested in testing to determine whether the variance of the population is significantly more than .003. The null hypothesis . a. should not be rejected b. should be rejected c. should be revised d. None of these answers are correct.

a. should not be rejected

Step-by-step explanation:

H0 : σ² = 0.003

H1 : σ² > 0.003

We obtain the test statistic :

χ² = [(n - 1) * s²] ÷ σ²

s = sample standard deviation = 0.06

n = sample size = 26

σ² = 0.003

χ² = [(26 - 1) * 0.06²] ÷ 0.003

χ² = (25 * 0.06²) / 0.003

χ² = 30

Using the Pvalue from χ² calculator :

Pvalue = 0.2242

Using α = 0.05

Pvalue > α; we fail to reject the Null

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.