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Answer with explanation</u>
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Let
be the average life of light bulbs.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Formula for Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For
, we have

Using z-value table , Critical one-tailed test value for 0.06 significance level :

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .
[We reject the null hypothesis when critical value is less than the test statistic value .]
Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life
Answer:
The expression is 100x + 50y ≤ 800.
Step-by-step explanation:
The hip hop DJ charge for $100 per hour. Let x be number of hours of hip hop :


For rap DJ, the charge is $50 per hour. Let y be the number of hours of rap :


Given that both DJs spend a maximum of $800. So the final expression is :

Answer:
6/5
Step-by-step explanation:
Calculate the volume by multiplying the measured length and width of the space together, then multiply the result by the height of the room. From the example, 10 * 25 feet = 250 square feet, and 5 * 10 feet = 50 square feet.
Answer:
Convert fraction (ratio) 7 / 30 Answer: 23.333333333333%
Step-by-step explanation: