PLEASE HELP FAST IF YOU ARE GOOD AT GEOMETRY:<br> AREA OF THESE SHAPES::

A random sample of n = 40 observations from a quantitative population produced a mean x = 2.2 and a standard deviation s = 0.29.

zmey [24]

Answer:

$t=\frac{2.2-2.1}{\frac{0.29}{\sqrt{40}}}=2.18$

$df=n-1=40-1=39$

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

$p_v =P(t_{(39)}>2.18)=0.0177$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and then the population mes seems to be higher than 2.1 at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X=2.2$ represent the sample mean

$s=0.29$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =2.1$ 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)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 2,1, the system of hypothesis would be:

Null hypothesis: $\mu \leq 2.1$

Alternative hypothesis: $\mu > 2.1$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{2.2-2.1}{\frac{0.29}{\sqrt{40}}}=2.18$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=40-1=39$

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

$p_v =P(t_{(39)}>2.18)=0.0177$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and then the population mes seems to be higher than 2.1 at 5% of significance

7 0

3 years ago

Karen used one-third of her total stamps on a campaign for charity. Karen used 60 stamps on the charity campaign.

UkoKoshka [18]

I assume the answer is 180 but u have not put a question

7 0

2 years ago

Bla lee la. la la lee bla

eimsori [14]

Answer:laaa vidas so las vi vi ras ony laa viras so las vi vi ras

Step-by-step explanation:laaaa vidas so las vi vi ras boty hastice hastice sola vi vi rasss*birb falling*

6 0

3 years ago

*The rectangle to the left is divided into 12 shapes. One of them is a rectangle labeled with #1 and the remaining 11 shapes are

Mandarinka [93]

Given that the length of side of shaded area is 1 ft.

Making equal square of size of shaded area we have:

Horizontally number of shaded area are 12

Vertically number of shaded area are 11

So, the horizontal length of big rectangle is 12 ft.

The vertical length of big rectangle is 11 ft.

Area of big rectangle is 12*11

Area of given rectangle is 132 sq.ft.

6 0

3 years ago

What is another way to write x 4/3

zloy xaker [14]

Answer:

1.3333333333333333 or 1 1/3

Step-by-step explanation:

What is the x?

4 0

3 years ago

PLEASE HELP FAST IF YOU ARE GOOD AT GEOMETRY: AREA OF THESE SHAPES::