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Travka [436]
3 years ago
14

Chris can be paid in one of two ways. Plan A is a salary of ​$490 per​ month, plus a commission of ​9% of sales. Plan B is a sal

ary of ​$826 per​ month, plus a commission of 3% of sales. For what amount of sales is Chris better off selecting plan​ A?
Mathematics
1 answer:
skad [1K]3 years ago
5 0

Answer:

$390+0.07s=$544+0.05s Subtract $390 from each side.

0.07s=$154+0.05s Subtract 0.05s from each side.

0.02s=$154 Divide each side by 0.02.

s=$7700 Both plans pay the same when sales=$7700

ANSWER With sales greater than $7700, Chris is better off with Plan A.

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Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

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\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

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Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

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