Answer:
The critical value of <em>t</em> is 2.000.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean in case the population standard deviation is not known is:
![CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%5Cpm%20t_%7B%5Calpha%2F2%2C%20%28n-1%29%7D%5Ctimes%20%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
The information provided is:
<em>n</em> = 57
Confidence level = 95%
As the sample size is large enough, i.e. <em>n</em> = 57 > 30 the sampling distribution of sample mean can be approximated by the normal distribution.
The distribution of sample statistic is normal and the sample size is quite large. This implies that it is appropriate to use a <em>t</em>-interval.
Compute the critical value of <em>t</em> as follows:
![t_{\alpha/2, (n-1)}=t_{0.05/2, (57-1)}=t_{0.025, 56}=2.000](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%2C%20%28n-1%29%7D%3Dt_%7B0.05%2F2%2C%20%2857-1%29%7D%3Dt_%7B0.025%2C%2056%7D%3D2.000)
*Use a <em>t</em>-table for the critical value.
Thus, the critical value of <em>t</em> is 2.000.
Answer:
54.2%
Step-by-step explanation:
desmos scientific
54.2% of 1450 = 785.9
Round it and it will be 786,
because 9 is after 5 so it adds one to 785.
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I hope this helped! :)
Answer:
8 root 17
Step-by-step explanation:
lets call the legs
x and 4x
so we know 16x2+x2=(34)2
17x2=34*34
x2=2*34
x2=68
x=2 root 17
4x=8 root 17
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The slope of the line is 4/3. It is already written as an improper fraction. It can’t be written as a proper fraction, as it will always be over the limit, making it improper. And it can’t be a integer, since it’s not a whole number. Leave it as 4/3. :)
Hope this helps!!
(I’m really sorry if I’m wrong.)