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artcher [175]
3 years ago
9

Help with setting up these two problems there 2 different problems

Mathematics
2 answers:
ELEN [110]3 years ago
7 0
I'm not good at math i cant help
schepotkina [342]3 years ago
6 0
Problem 1.

hoppers = 2 * crickets

hoppers + crickets = 561

2*crickets + crickets = 561


problem 2.

adults = 6 * students

adults + students = 490

6 * students + students = 490


that should be enough setup to get you the answers :)
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Step-by-step explanation:

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One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio
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Answer:

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X represent the sample mean for the sample  

\mu population mean

\sigma=60 represent the population standard deviation  

n represent the sample size (variable of interest)  

Confidence =95% or 0.95

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

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