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Lisa [10]
2 years ago
9

your goal isto take at least 10000 steps per day. according to your pedometer you have walked 5274 steps. write and solve an ine

quality to find the possible numbrt of steps you can take to reach your goal
Mathematics
2 answers:
Diano4ka-milaya [45]2 years ago
6 0
Let x be the number of days you need to work.

Your goal is to achieve at least 10 000 steps.

x + 5274 ≥ 10 000

x ≥ 10 000 - 5274

x ≥ 4726

-------------------------------------------------------------------------------------------------------
You need to take at lest another 4726 steps to achieve the goal.
-------------------------------------------------------------------------------------------------------
nika2105 [10]2 years ago
4 0
Let g be the number of days you need to work.
Your goal is to achieve at least 10 000 steps.
g + 5274 ≥ 10 000
g ≥ 10 000 - 5274
g ≥ 4726
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Answer:

12.6 < \mu < 14.8

For this case we can find the margin of error like this:

ME= \frac{14.8-12.6}{2}= 1.1

Since we need to divide the width of the interval by 2.

And now with the margin of error we can find the sample mean with any of the two following ways:

12.6 +1.1=13.7

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So for this case the correct answer would be:

A. Sample Mean = 13.7; Margin of Error = 1.1

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".  

Solution to the problem

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

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We know that the confidence interval is given by:

12.6 < \mu < 14.8

For this case we can find the margin of error like this:

ME= \frac{14.8-12.6}{2}= 1.1

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12.6 +1.1=13.7

14.8-1.1=13.7

So for this case the correct answer would be:

A. Sample Mean = 13.7; Margin of Error = 1.1

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