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qwelly [4]
3 years ago
6

Please help please help

Mathematics
1 answer:
gogolik [260]3 years ago
4 0
1. 9/44
2. 1/3
3. 1/14
4. 4/45
5. 7/12
6. 14/55
7. 5/12
8. 2/9
9. 1/16
10. 7/6
11. 5/12
12. 4/5
13. 6/7
14. 7/12
15. 1
16. 3/2
17. 15/8
18. 4/7
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Answer: (17.96,20.64)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline{x}\ \pm\ t_{n-1,\alpha/2}\dfrac{s}{\sqrt{n}}

Given : \overline{x}=19.3

s= 3.1

n=23, which is a small sample(n<30), so we use t-test.

Significance level: 1-0.95=0.05

Critical value : t_{n-1,\alpha/2}=t_{22,0.025}=2.074

Then , the  confidence interval for population mean will be  :-

19.3\ \pm\ (2.074)\dfrac{3.1}{\sqrt{23}}\\\\\approx19.3\pm1.34\\\\=(19.3-1.34,19.3+1.34)\\\\=(17.96,20.64)

Hence, the 95​% confidence interval for the population mean is (17.96,20.64)

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