How do I figure this out?

Mathematics

1 answer:

Gnoma [55]3 years ago

7 0

Staircase one looks like our normal staircase we have today which looks like it’s easier so staircase two is more difficult to walk up?

But also

staircase one will be harder because it’s just smaller? Shorter and less space for your feet to step on. Staircase two has 1 ft of space for your feet to land on and is a bit higher which seems like normal stairs? But if I go measure my staircase... I don’t think it’s 1 ft... so? Maybe it’s staircase one? I’m sorry if I’m confusing you!!

I don’t think that’s a right or wrong question? Maybe it’s just your opinion? I’m so sorry, I honestly have no clue

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Llana [10]

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3 years ago

We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51 locations in the continental

mr Goodwill [35]

Answer:

$1.1-2.02\frac{4.9}{\sqrt{50}}=-0.30$

$1.1+2.02\frac{4.9}{\sqrt{50}}=2.50$

So on this case the 90% confidence interval would be given by (-0.30;2.50)

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".

$\bar X=1.1$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=4.9 represent the sample standard deviation

n=51 represent the sample size

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:

$df=n-1=51-1=50$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,50)".And we see that $t_{\alpha/2}=2.02$