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Lubov Fominskaja [6]
3 years ago
11

Which inequality is true for all real numbers? check all that apply. 1.a – b < a + b 2.ac ≥ bc 3.If a ≥ b, then a + c ≥ b + c

4.If c > d, then a– c < a – d 5.If a < b, then a < b + c
Mathematics
1 answer:
Nataliya [291]3 years ago
3 0

Answer:c and d

Step-by-step explanation:

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Twenty-five adult citizens of the United States were asked to estimate the average income of all U.S. households. The mean estim
Sidana [21]

Answer:

65000-2.06 \frac{15000}{\sqrt{25}}=58820    

65000+2.06 \frac{15000}{\sqrt{25}}=71180    

We are confident that the true mean for the average income of all U.S. households is between (58820;71180)    

Step-by-step explanation:

Information provided

\bar X=65000 represent the sample mean for the average income of all US households

\mu population mean

s=15000 represent the sample standard deviation

n=25 represent the sample size  

Confidene interval

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

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

The degrees of freedom are given by:

df=n-1=25-1=24

The Confidence level is is 0.95 or 95%, then the significance is \alpha=0.05 and \alpha/2 =0.025, the critical value for this case would be t_{\alpha/2}=2.06

Replacing in formula (1) we got:

65000-2.06 \frac{15000}{\sqrt{25}}=58820    

65000+2.06 \frac{15000}{\sqrt{25}}=71180    

We are confident that the true mean for the average income of all U.S. households is between (58820;71180)    

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3 years ago
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