The mean of six numbers is 8, and the mean of another four numbers is 5.

Mathematics

1 answer:

Ket [755]3 years ago

4 0

Answer:

6.8

Step-by-step explanation:

8 * 6 = 48 (to reverse dividing by 6 to basically un-average the 6 numbers).

5 * 4 = 20 (to un-average these numbers as well).

48 + 20 = 68

68 / 10 = 6.8

Basically by doing this you are still adding all the numbers together & then dividing by 10 as if you added them all up at once & not in a group of 6 & a group of 4.

Hope this helped. :)

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A Rasmussen Reports survey of 1,000 US adults found that 42% believe raising the minimum wage will help the economy. Construct a

vitfil [10]

Answer:

(0.3798, 0.4602)

Step-by-step explanation:

Let p be the true proportion of US adults who believe raising the minimum wage will help the economy. A point estimate for p is $\hat{p}=0.42$ and a good aproximation (because we have a large sample) for the standard deviation of $\hat{p}$ is $\sqrt{\hat{p}(1-\hat{p})/n}=\sqrt{0.42(0.58)/1000}=0.0156$ . Therefore, a 99% confidence interval for p is given by $\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$ where $\alpha=0.01$ and $z_{\alpha/2}$ is the $\alpha/2$ th quantile of the standard normal distribution, so we have, $0.42\pm z_{0.005}0.0156$ , i.e., $0.42\pm(-2.5758)(0.0156)$ or equivalently (0.3798, 0.4602).