Solving Right Triangles

a sociologist develops a test to measure attitudes towards public transportation and 27 randomly selected subjects are given the

horsena [70]

Answer:

The 95% confidence interval for the mean score is:

$\mu$ ∈ $(67.73,\ \ 84.67)$

Step-by-step explanation:

We want to estimate the population mean, that is, the average score of all the subjects.

An estimator for the population mean μ is ${\overline {x}}$

Since the sample size is $27$ then we use the statistic $t_{\frac{\alpha}{2}}$ with $27-1 = 26$ degrees of freedom

The confidence interval for the mean is:

$({\displaystyle {\overline {x}}} + t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}},\ \ {\displaystyle {\overline {x}}} - t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}})$

Where

${\displaystyle {\overline {x}}}=76.2$ is the average score of the sample

$S=21.4$ is the standard deviation of the sample

$n= 27$ is the sample size

$t_{\frac{\alpha}{2}} = 2.056$ for a confidence level of 95% and 26 degrees of freedom

Then confidence interval is

$(76.2 + 2.056\frac{21.4}{\sqrt{27}},\ \ {76.2 - 2.056\frac{21.4}{\sqrt{27}})$

$(76.2 + 8.467,\ \ 76.2 - 8.467)$

$\mu$ ∈ $(67.73,\ \ 84.67)$

7 0

3 years ago

In a survey of some tourists, 80% of the tourists have been to India and 35% of the tourists have been to china.If all the touri

Leto [7]

Answer:

585

Step-by-step explanation:

This sort of problem can be solved using a 2-way table that categorizes tourists by combination of destinations. Of the four possible combinations, one is ruled out (China, but not India). We can determine percentages and numbers for the combinations of interest using the given data.

__

80% have been to India, so 20% have not. All of those have also not been to China. Since tourists in that category number 260, there must be ...

260/20% = 1300 . . . tourists surveyed

Of the 80% who have been to India, 35% have been to China. That leaves 45% who have been to India, but not China. This number is ...

45% × 1300 = 585

The number of tourists who have been to India, but not China, is 585.

7 0

2 years ago

The illustration below shows the graph of yyy as a function of xxx.

Alisiya [41]

The slope of the graph of the function is equal to 0 for x between x = -3 and x = -2.
The slope of the graph of the function is equal to 0 for x between x = 3 and x = 4.
The greatest value of y is y = 4.
The smallest value of y is y = -3.

<h3>How to complete the sentences?</h3>

By critically observing the graph shown in the image attached below, we can logically deduce that the slope of the graph of this function is equal to 0 for x, between x = -3 and x = -2.

Similarly, the slope of the graph of this function is also equal to 0 for x, between x = 3 and x = 4.

Based on the graph (see attachment), the greatest value of y is 4 while the smallest value of y is -3.

Read more on slope here: brainly.com/question/3493733

#SPJ1