Answer:
The answer is "(0.461 , 7.206)"
Step-by-step explanation:
In the given question some information is missing, that is data. so, the correct answer to this question can be defined as follows:
UnLogged:
![x_1=17.500\\s_1=3.529\\n_1=12](https://tex.z-dn.net/?f=x_1%3D17.500%5C%5Cs_1%3D3.529%5C%5Cn_1%3D12)
Logged:
![x_2=13.667\\ s_2=4.500\\n_2=9\\](https://tex.z-dn.net/?f=x_2%3D13.667%5C%5C%20s_2%3D4.500%5C%5Cn_2%3D9%5C%5C)
formula of std error:
![\ std \ error =\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}](https://tex.z-dn.net/?f=%5C%20std%20%5C%20error%20%3D%5Csqrt%7B%5Cfrac%7Bs_1%5E2%7D%7Bn_1%7D%2B%5Cfrac%7Bs_2%5E2%7D%7Bn_2%7D%7D)
![=\sqrt{\frac{3.529^2}{12}+\frac{4.500^2}{9}}\\\\=\sqrt{\frac{3.529^2\times 3+4.500^2\times 4}{36}}\\\\=1.8133](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B3.529%5E2%7D%7B12%7D%2B%5Cfrac%7B4.500%5E2%7D%7B9%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%5Cfrac%7B3.529%5E2%5Ctimes%203%2B4.500%5E2%5Ctimes%204%7D%7B36%7D%7D%5C%5C%5C%5C%3D1.8133)
Point differential estimation =![x_1-x _2](https://tex.z-dn.net/?f=x_1-x%20_2)
![= 17.500-13.667\\=3.833](https://tex.z-dn.net/?f=%3D%2017.500-13.667%5C%5C%3D3.833)
For 90 percent t= 1.860 Cl & 8 df
error of margin E = ![t\times \ std \ error](https://tex.z-dn.net/?f=t%5Ctimes%20%5C%20std%20%5C%20error)
![= 1.860 \times 1.8133\\= 3.373](https://tex.z-dn.net/?f=%3D%201.860%20%5Ctimes%201.8133%5C%5C%3D%203.373)
Lower bound =mean difference -E=0.461
Upper bound = mean difference+ E=7.206
In the above 90% confidence interval were the population mean= (0.461 , 7.206)
Answer:
50 degrees
Step-by-step explanation:
For a RIGHT triangle tan A = opposite side / adjacent side
tan A = 12/10
arctan ( tan A) = A = arctan (12/10) = 50.19 degrees
Answer:
$15/h
Step-by-step explanation:
"dollars per hour" means "dollars divided by hours". To find it, divide the number of dollars by the number of hours.
($60)/(4 h) = (60/4) $/h = $15/h
<h3>Solution:</h3>
![2 \frac{1}{4} \times 3 \frac{1}{5} \\ = \frac{9}{4} \times \frac{16}{5} \\ = \frac{9 \times 4}{5} \\ = \frac{36}{5} \\ = 7 \frac{1}{5}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B4%7D%20%20%5Ctimes%203%20%5Cfrac%7B1%7D%7B5%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B9%7D%7B4%7D%20%5Ctimes%20%20%5Cfrac%7B16%7D%7B5%7D%20%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B9%20%5Ctimes%204%7D%7B5%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B36%7D%7B5%7D%20%20%5C%5C%20%20%3D%207%20%5Cfrac%7B1%7D%7B5%7D%20)
<h3>Answer:</h3>
![7 \frac{1}{5}](https://tex.z-dn.net/?f=7%20%5Cfrac%7B1%7D%7B5%7D%20)
<h3>Hope it helps..</h3><h3>ray4918 here to help..</h3>