How to evaluate this help me out so lost?
1 answer:
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Answer:
|Z| = |-1.36| < 1.645 at 0.1 level of significance
The null hypothesis is accepted
A manufacturer of banana chips are filling machine works correctly at the mean 449
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given mean of the Population(μ) = 449
The Standard deviation of the population(σ) = 22
size of the sample 'n' = 36
mean of the sample(x⁻) = 444
Given the level of significance(α) = 0.1
Critical value Z = 1.645
<u><em>Step(ii):</em></u>-
<em>Null hypothesis</em>:H₀:
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0
(μ) = 449
<em>Alternative Hypothesis</em>:H₁: (μ) ≠ 449
Test statistic
= -1.36
<em>Final answer:-</em>
|Z| = |-1.36| < 1.645 at 0.1 level of significance
The null hypothesis is accepted
A manufacturer of banana chips are filling machine works correctly at the mean 449
Answer:
12 m
Step-by-step explanation:
The path of a football has been modeled by the equation:
where h represents the height and d represents the horizontal distance.
When the ball lands, it means that its height is back at 0 metres. This means that we have to find horizontal distance, d, when height, h, is 0.
=>
∴ d = 0 m
and
10d - 120 = 0
=> d = 120 / 10 = 12 m
There are two solutions for d when h = 0 m.
The first solution (d = 0 m) is a case where the ball has not been thrown at all. This means the ball has not moved away from the football player and it is still on the ground.
The second solution is the answer to our problem (d = 12 m). The ball lands at a horizontal distance of 12 m