If there are 16 values in a data set in order from smallest to largest, what is the median of the data set?

A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca

blondinia [14]

The confidence interval for mean of the "before-after" differences is $\fbox{(-0.4037,1.8037)}$

Further explanation:

Find the difference between the before pain and the after pain.

Difference = before-after

Kindly refer to the Table for the difference of between the before and after pain.

Sum of difference = $5.6$

Total number of observation = $8$

Mean of difference = $0.7$

Sample standard deviation $s$ = $1.3201$

Level of significance = $5\%$

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

confidence interval = $\left( 0.7 \pm t_{8-1, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)$

confidence interval = $\left( 0.7 \pm t_{7, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)$

From the t-table.

The value of $t_{7, \frac{5}{2}\%$ = $2.365$

Confidence interval = $( 0.7 \pm 2.365}\times \frac{1.3201}{\sqrt{8}}) \right)$

Confidence interval = $\left( 0.7 - 2.365}\times \0.4667,0.7 + 2.365}\times \0.4667) \right$

Confidence interval = $(0.7-1.1037,0.7+1.1037)$

Confidence interval = $\fbox{(-0.4037,1.8037)}$

The $95\%$ confidence interval tells us about that $95\%$ chances of the true mean or population mean lies in the interval.

Yes, the hypnotism appear to be effective in reducing pain as confidence interval include includes the positive deviation from the mean.

Learn More:

1. Learn more about equation of circle brainly.com/question/1506955

2. Learn more about line segments brainly.com/question/909890

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.

7 0

2 years ago

Read 2 more answers

Urgent. REALL URGENT. HHHHHHHHHHEEEEEEEEEEEEEEELLLLLLLLLLPPPPPPPPPPPPPPP MMMMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Effectus [21]

Option c : 9 is the answer.

Explanation:

The expression is $1.2-(-7.8)$

We need to determine the subtracted value of the expression.

From the expression we can see that the expression contains two negative signs.

To simplify the expression, we know that, When we multiply two negative numbers then the product is always positive.

This means $(-) *(-) = +$

Thus, the expression can be written as

$1.2+7.8$

Adding the two numbers, we get,

$1.2+7.8=9$

Thus, the value of the expression is 9.

Hence, Option c is the correct answer.

8 0

2 years ago

Find the solution of (x+2)^2 +2=6 by using square roots method

kogti [31]

Answer:

(x + 2)² +2 = 6
(x + 2)² = 4
√(x + 2)² = √4
x + 2 = ± 2
x = -2 ± 2
x = -4, x = 0

4 0

2 years ago

Multiply.

ololo11 [35]

-1.1* (-8)=8.8

The answer is: C. 8.8

8 0

2 years ago

A copy machine makes

tankabanditka [31]

4 min 30 sec = 4.5 minutes.
Divide 108 by 4.5 to get the UNIT RATE which is per 1 minute.
108/4.5 = 24 pages per min

7 0

2 years ago