A carton can hold 1,000 unit cubes that measure 1 inch by 1 inch by 1 inch. Describe the demensions of the carton using unit cub
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:
(E) The bias will decrease and the variance will decrease.
Step-by-step explanation:
Given that researchers working the mean weight of a random sample of 800 carry-on bags to e the airline.
We have to find out the effect of increasing the sample size on variance and bias.
We know as per central limit theorem, sample mean follows a normal distribution with mean = sample mean
and std deviation of sample mean = std error =
Thus std error the square root of variance is inversely proportional to the square root of sample size.
Also whenever we increase sample size the chances of bias would decrease as the sample size becomes larger
So correct answer is both bias and variation will decrease.
(E) The bias will decrease and the variance will decrease.