Answer:
See explanation below
Step-by-step explanation:
Here, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour.
a) The alternative and null hypotheses would be:
H0: μ ≥ 220
Ha: μ < 220
b) Comment on the conclusion when H0 cannot be rejected:
When we fail to reject the null hypothesis H0, there is not enough evidence to conclude that the mean cost can be reduced from $220. Therefore the manager's proposed method cannot be implemented.
c) Comment on the conclusion when H0 can be rejected:
When the null hypothesis, H0 is rejected, there is enough evidence to conclude that the mean cost can be reduced from from $220. Therefore the manager's proposed method can be implemented.
Answer:
23 chalkboards
Step-by-step explanation:
Given:
Mean length = 5 m
Standard deviation = 0.01
Number of units ordered = 1000
Now,
The z factor = 
or
The z factor = 
or
Z = - 2
Now, the Probability P( length < 4.98 )
Also, From z table the p-value = 0.0228
therefore,
P( length < 4.98 ) = 0.0228
Hence, out of 1000 chalkboard ordered (0.0228 × 1000) = 23 chalkboard are likely to have lengths of under 4.98 m.
Answer:
1024
Step-by-step explanation:
You could put 4^5 into your calculator. It’s 4*4*4*4*4= 1024
(a+b)(a-b)=a^2 - b^2
so
<span>(4x-7)(4x+7) = 16x^2 - 49
answer
</span>16x^2 - 49
She could switch them around by grouping them into groups of 4s, 3s, 2s, or 5s.
