I am 28,086. If I have 16 ones, how many tens do I have left?

An NBA fan named Mark claims that there are more fouls called on his team 1 point

inn [45]

Answer:

$t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551$

$df = n-1=34-1=33$

$p_v =P(t_{(33)}>2.551)=0.008$

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

Step-by-step explanation:

Information provided

$\bar X=12.2$ represent the sample mean fould against

$s=1.6$ represent the sample standard deviation

$n=34$ sample size

represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is higher than 11.5 fouls per game:

Null hypothesis: $\mu \leq 11.5$

Alternative hypothesis: $\mu > 11.5$

The statistic is given by:

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

The statistic is given by:

$t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551$

P value

The degreed of freedom are given by:

$df = n-1=34-1=33$

Since is a one side test the p value would be:

$p_v =P(t_{(33)}>2.551)=0.008$

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

7 0

3 years ago

If a square prism has a volume of 104 cubic centimeters and a height of eight centimeters, explain how to find the area of the s

pochemuha

Answer: 3.6cm

Step-by-step explanation:

$V=a^2h$

Using the volume formula; solve for a;

$a^2=\frac{V}{h}\\ a=\sqrt[]{\frac{V}{h} }$

$a=\sqrt[]{\frac{104cm^3}{8cm} }$

$a=\sqrt[]{13cm^2}$

$a=3.6cm$

7 0

3 years ago

Let a represent a non zero rational number and let b represent an irrational number. Which expression could represent a rational

Marta_Voda [28]

The operation between a rational and a irrational number that results in a rational number is a multiplication, hence the expression ab could represent a rational number.

<h3>What are rational and irrational numbers?</h3>

If a number can be represented by a fraction, it is rational, otherwise, it is irrational.

The addition/subtraction of a rational and an irrational numbers is irrational, while the multiplication is rational, hence the expression ab could represent a rational number.

More can be learned about rational numbers at brainly.com/question/10814303

8 0

3 years ago

1. Write the name of the properties:

faust18 [17]

Answer:

a) Commutative property of addition

b) Identity Property of Multiplication

c) Identity Property of Addition

d) Associative Property of Addition.

Step-by-step explanation:

6 0