PLEASE ANSWER THIS: look at the pic for question. Thanks!!!
1 answer:
Answer:
Step-by-step explanation:
The equation represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.
For any quadratic:
- If the discriminant is positive, or greater than 0, the quadratic has two solutions
- If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).
- If the discriminant is negative, or less than 0, the quadratic has zero solutions
In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have .
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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.