Answer:
Option A) 0.0074
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 110
Sample mean,
= 20
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 115.35
First, we design the null and the alternate hypothesis
We use two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have

Now, we calculate the p-value from the standard normal table.
P-value = 0.0074
Thus, the correct answer is
Option A) 0.0074
A. The discount is 7.80 much
B. $11.7
Answer:
<em>The test statistic Z = 1.844 < 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is accepted </em>
<em>Yes he is right</em>
<em>The manager claims that at least 95 % probability that the plant is operating properly</em>
Step-by-step explanation:
<u>Explanation</u>:-
Given data Population mean
μ = 885 tons /day
Given random sample size
n = 60
mean of the sample
x⁻ = 875 tons/day
The standard deviation of the Population
σ = 42 tons/day
<em><u>Null hypothesis</u></em><em>:- H₀: </em>The manager claims that at least 95 % probability that the plant is operating properly
<u><em>Alternative Hypothesis :H₁</em></u>: The manager do not claims that at least 95 % probability that the plant is operating properly
<em>Level of significance</em> = 0.05
The test statistic



|Z| = |-1.844| = 1.844
<em>The tabulated value</em>
<em> </em>
<em></em>
<em>The calculated value Z = 1.844 < 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is accepted </em>
<u><em>Conclusion</em></u><em>:-</em>
<em>The manager claims that at least 95 % probability that the plant is operating properly</em>
<em></em>
<em></em>
Answer:
80°
Step-by-step explanation:
<u>The angles of a triangle must add up to 180°.</u>
40° + 60° + missing angle = 180°
100° + missing angle = 180°
<em>subtract 100° from both sides</em>
missing angle = 80°
Answer:
a. no, there are no sufficient data to use
b. assumption b is right
Step-by-step explanation:
a. for the standard deviation to be calculated at 99% confidence, the data needed should be the mean (given), the variate value to be calculated for(not given), the standard deviation(not given), the z value of the normal distribution ( not given),
since there are too many unknown, the data given are not sufficient to calculate.
b. validity of this interval requires that coating layer thickness be at least approximately normally distributed.