Evaluate the value of the function at the given point.

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

A fence post is placed into the ground. The height of the fence post above the ground is 6 feet. The depth of the fence post is

Fiesta28 [93]

The answer is option D) The point where the fence post enters the ground.

Step-by-step explanation:

Given,

The fence above the ground= 6 feet

The fence below the ground= 4 feet

Total height of the fence= (6 feet +4 feet)= 10 feet

option A) The middle of the fence is somewhere between 0 feet and 10 feet. It may be any value (example: 2 feet or 5 feet or anything between 0 to 10).

option B) The top of the fence is the topmost point of the fence which is 6 feet from inside the ground and 10 feet from above the ground.

option C) The bottom of the fence is 4 feet from the ground and 10 feet from the top of the fence.

option D) The point where the fence post enters the ground represents the exact point along the ground. The point is a (small dot mark) which is 0 feet.

8 0

3 years ago

Read 2 more answers

2.

Virty [35]

Answer:

1/9 is probably most likely the correct answer

3 0

3 years ago

Attachment look at it

stiks02 [169]

4J-7S
21/7=3

multiply both sides by 3
12J-21S
12 cups of juice to make 21 cups of soda