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3 years ago

3

Theo and kade worked on a school project together. Theo worked on the project 3 fewer hours than kade did. Altogether they worke

d for a total of 27 hours. How many hours did they each work on the school project

1 answer:

galina1969 [7]3 years ago

3 0

Answer:Theo 10.5 kade 13.5

Step-by-step explanation:27/2-3= answer

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3 years ago

Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 9 havi

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Answer: $(-0.48,\ -0.04)$

Step-by-step explanation:

The confidence interval for the difference of two population proportion is given by :-

$(p_1-p_2)\pm z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

Given : The first sample consists of 20 people with 9 having a common attribute.

Here, $n_1=20$ , $p_1=\dfrac{9}{20}=0.45$

$n_2=2100$ , $p_1=\dfrac{1492 }{2100}\approx0.71$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

A 95% confidence interval for the difference of two population proportion will be :-

$(0.45-0.71)\pm z_{\alpha/2}\sqrt{\dfrac{0.45(1-0.45)}{20}+\dfrac{0.71(1-0.71)}{2100}}\\\\\approx -0.26\pm0.22\\\\=(-0.26-0.22,-0.26+0.22)\\\\=(-0.48,\ -0.04)$

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4 years ago