Mathematics, 23.07.2019 16:10, mikaylarichardson96

Na study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the results is listed below (1equalsnot attractive; 10equalsextremely attractive). construct a confidence interval using a 95% confidence level. what do the results tell about the mean attractiveness ratings of the population of all adult females? 7, 7, 3, 8, 5, 6, 6, 9, 9, 8, 6, 9 what is the confidence interval for the population mean mu? 5.8less thanmuless than 8.1 (round to one decimal place as needed.) what does the confidence interval tell about the population of all adult females? select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. a. we are 95% confident that the interval from nothing to nothing actually contains the true mean attractiveness rating of all adult females. (round to one decimal place as needed.) b. the results tell nothing about the population of all adult females, because participants in speed dating are not a representative sample of the population of all adult females. c. we are confident that 95% of all adult females have attractiveness ratings between nothing and nothing. (round to one decimal place as needed.)

Answers: 2

Show answers

Answers

answered: kameahtravis

The confidence interval is $\fbox{(5.8, 8.1)}$ and $\fbox{\text{Option A}}$ is correct.

Further Explanation:

Given:

The least value is that is the least attractive.

The highest value is that is the most attractive.

The observations are,

7, 7, 3, 8, 5, 6, 6, 9, 9, 8, 6, 9.

Calculation:

The sum of all observations is .

The population mean is $\mu$ .

The standard deviation is 1.832 .

The sample mean $\bar^{X}$ is 6.92 .

Level of significance $\alpha$ = $5\%$ .

Formula for confidence interval = $\left( \bar{X} \pm t_{n-1, \frac{\alpha}{2}\%} \frac{s}{\sqrt{n}} \right)$

Confidence interval = $\left( 6.92 \pm t_{12-1, \frac{5}{2}\%} \frac{1.832}{\sqrt{12}} \right)$

The value of $t_{11, \frac{5}{2}\%$ = 2.201

Confidence interval = $( 6.92 \pm 2.201}\times \frac{1.832}{\sqrt{12}}) \right)$

Confidence interval = $( 6.92 - 2.201}\times 0.5288 ,6.92 + 2.201}\times \0.5288) \right)$

Confidence interval = (6.92-1.1639,6.92+1.1639)

Confidence interval = $\fbox{(5.8, 8.1)}$

The $95\%$ confidence interval gives us an idea that $95\%$ chances of the true mean or population mean lies in the interval.

A. We are $95\%$ confident that the interval from 5.8 to 8.1 actually contains the true mean of attractiveness rating of all adult females.

B. The results tell nothing about the population of all adult females, because participants in speed dating are not a representative sample of the population of all adult females.

C. We are confident that $95\%$ of all adult females have attractiveness ratings between 5.8 and 8.1 .

$\fbox{\text{Option A}}$ is Correct as we are $95\%$ confident that the interval from 5.8 to 8.1 actually contains the true mean of attractiveness rating of all adult females.

Option B is not correct as the confidence interval tells us about the population mean.

Option C is not correct as the individual rating can be more than 5.8 or less than the 8.1 .

Learn More:

1. Learn more about collinear link

2. Learn more about binomial term link

Answer Details:

Grade: College Statistics

Subject: Mathematics

Chapter: Confidence Interval

Keywords:

Probability, Statistics, Speed dating, Females rating, Confidence interval, t-test, Level of significance , Normal distribution, Central Limit Theorem, t-table, Population mean, Sample mean, Standard deviation, Symmetric, Variance.

answered: Guest

option a is correct.

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

Which is the scale factor proportion for the reduction shown? answers are on picture.

answered: Guest

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.