Data from a 2006 GSS subsample show that the mean number of children per respondent was 1.87, with a standard deviation of 1.64. A total of 1,494 people answered this question. Estimate the population mean number of children per adult using a 90% confidence interval. We our 90% confident that the population mean number of children per adult is between

We are 90% confident that the population mean number of children per adult is between 1.80 and 1.94.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find M as such

In which is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.87 - 0.07 = 1.80 children

The upper end of the interval is the sample mean added to M. So it is 1.87 + 0.07 = 1.94 children.

We are 90% confident that the population mean number of children per adult is between 1.80 and 1.94.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

it shoild be o

step-by-step explanation: