Alex needs to report his bowling average for the school newspaper. Here are his scores from the last 20 games: 132, 141, 110, 96
1 answer:
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Answer: 17/18
In words, this is seventeen eighteenths
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Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
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note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
Answer:
(A) : μ = 22 ;
: μ ≠ 22
(B) Value of the test statistic = -2.69
Step-by-step explanation:
We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.
We have to test the accuracy of the bottling process.
(A) Let, NULL HYPOTHESIS, :
= 22 ounces {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}
ALTERNATE HYPOTHESIS, :
22 ounces {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}
The test statistics that will be used here is One-sample z-test;
T.S. = ~ N(0,1)
where, = sample mean weight of the passion fruit juice = 21.54 ounces
= population standard deviation = 1.38 ounces
n = sample of bottles = 65
(B) So, <u>test statistics</u> =
= -2.69
Hence, the value of test statistics is -2.69.