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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.
Answer:
<h2>Therefore the length of a side of a cube isStep-by-step explanation:
The volume of a cube is expressed as L³ where L is the length of each side of the cube.
Given volume of a cube = 64in³
On substituting;
64 = L³
Taking the cube root of both sides to determine L we have;
Therefore the length of a side of a cube is