When a cube with sides numbered one through six is roll one time what is the probability of rolling a four or greater?

The percent, X , of shrinkage o n drying for a certain type of plastic clay has an average shrinkage percentage :, where paramet

never [62]

Answer:

a) $t=\frac{18.4-17.5}{\frac{2.2}{\sqrt{45}}}=2.744$

The degrees of freedom are given by:

$df=n-1=45-1=44$

The critical value for this case is $t_{\alpha}=1.68$ since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4

b) $p_v =P(t_{(44)}>2.744)=0.0044$

Step-by-step explanation:

Information given

$\bar X=18.4$ represent the sample mean

$s=2.2$ represent the sample standard deviation

$n=45$ sample size

$\mu_o =17.5$ represent the value to verify

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Part a

We want to test if the true mean is higher than 17.5, the system of hypothesis would be:

Null hypothesis: $\mu \leq 17.5$

Alternative hypothesis: $\mu > 17.5$

The statistic is given by:

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

And replacing we got:

$t=\frac{18.4-17.5}{\frac{2.2}{\sqrt{45}}}=2.744$

The degrees of freedom are given by:

$df=n-1=45-1=44$

The critical value for this case is $t_{\alpha}=1.68$ since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4

Part b

The p value would be given by:

$p_v =P(t_{(44)}>2.744)=0.0044$

5 0

4 years ago

Noah raised $54 to support the animal shelter, which is 60% of his fundraising goal. What is Noah's fundraising goal?

Alenkinab [10]

Answer:

90$

Step-by-step explanation:

yeah he needs 90$ and he already has 54, so he only needs 36 left

7 0

3 years ago

team has a 75% chance to win each of the 3 games they will play this week. Clare simulates the week of games by putting 4 pieces

kaheart [24]

Answer: 88

Step-by-step explanation:

check google if its wrong :)

6 0

3 years ago

Y= x - 4<br> 5x+y=-34<br> How would I do this in steps ?

Lostsunrise [7]

Answer:

x = -5 y = -9

Step-by-step explanation:

y = x -4

5x + y = - 34

substitute x-4 in for y to solve for x

5x + x - 4 = 34

solve for x . . . add 5x + x = 6x

so you now have 6x-4 = -34

add 4 to both sides of the equation

6x-4 + 4 = -34+ 4

6x = -30

divide both sides by 6

6x/6 = -30/6

x= -5

then you plug -5 for x in the first equation

y = x - 4

y= -5 -4

y =-9

x= -5 y= -9

8 0

3 years ago

What is 2×4÷6 (8×3)-6=Y

Lyrx [107]

To solve this problem, you need to do it in this order: PEMDAS

(Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

2 × 4 ÷ 6(8 × 3) - 6 = Y First simplify inside the ( ), and multiply 8 by 3

2 × 4 ÷ 6(24) - 6 = Y Now multiply 6 and 24

2 × 4 ÷ 144 - 6 = Y Multiply 2 and 4

8 ÷ 144 - 6 = Y Divide 8 and 144

18 - 6 = Y Subtract 18 and 6

12 = Y

5 0

3 years ago