Jason has 14 raspberry scones and 35 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag
1 answer:
Answer:
7 is the greatest number of bags Jason can fill.
Step-by-step explanation:
Given: Jason has 14 raspberry scones and 35 blackberry scones.
Now, finding the maximum number of bags Jason can fill with equal number of raspberry scones and blackberry scones.
∴ we will be using Greatest common factor (GCF) for knowing the number of bags.
∴
7 is the greatest number of bags that Jason can fill with equal number of raspberry and blackberry scones.
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<h2><u>Answer with explanation</u>:</h2>
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