Solve the inequality. Graph and check the solution. 28 > 8m

In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsibl

schepotkina [342]

Answer:

$t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28$

The degrees of freedom are given by

$df=n-1=17-1=16$

The p value would be given by this probability:

$p_v =P(t_{(16)}$

Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3

Step-by-step explanation:

Information given

$\bar X=8.19 cm^3$ represent the sample mean

$s=0.8 cm^3$ represent the sample deviation

$n=17$ sample size

$\mu_o =9.02$ represent the value to verify

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value

System of hypothesis to check

We want to check if the true mean is less than the normal value of 9.02 cm^3, the system of hypothesis would be:

Null hypothesis: $\mu \geq 9.02$

Alternative hypothesis: $\mu < 9.02$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28$

The degrees of freedom are given by

$df=n-1=17-1=16$

The p value would be given by this probability:

$p_v =P(t_{(16)}$

Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3

6 0

3 years ago

PLEASE HELP QUICK What is the slope-intercept form of the linear equation 2x + 3y = 6?

Salsk061 [2.6K]

Answer:

y = - $\frac{2}{3}$ x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 2x + 3y = 6 into this form

subtract 2x from both sides

3y = - 2x + 6 ( divide all terms by 3 )

y = - $\frac{2}{3}$ x + 2 ← in slope-intercept form

7 0

2 years ago

Read 2 more answers

Find the midpoint of points A(-7,7) and B(-1,-3) graphically.

AfilCa [17]

Answer:

(3,5)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

(3,5)

8 0

2 years ago

What is the output, or dependent variable of quantity? 1: x 2:f(x) 3:y

Semenov [28]

The answer would be y

8 0

3 years ago

Read 2 more answers

You want to buy birthday hats, cards, and teddy bears for your best friends birthday party. You buy the products for wholesale p

Naya [18.7K]

Answer:

I will create a five by four matrix to indicate the costs of the products. The matrix will have five vertical columns and four horizontal rolls. The vertical columns will show the product categories and the total costs for all the products and decorations. The horizontal rolls will show the product costs, the decoration costs, and the total costs for each product category.

The size and shape of the matrix will be 5 by 4 with squared boxes.

Step-by-step explanation:

Products/Costs Hats Cards Teddy Total Costs

Product costs $2.50 $0.90 $3.10 $6.50

Decoration costs $1.50 $0.60 $1.70 $3.80

Total costs $4.00 $1.50 $4.80 $10.30

6 0

3 years ago

Solve the inequality. Graph and check the solution. 28 > 8m - 4​

Solve the inequality. Graph and check the solution. 28 > 8m - 4