−2x (x + 5 ) for x = −3

Last summer, winky's waterpark kept track of the number of park visitors each day.

Montano1993 [528]

As per the given data 100, 150, 200, 250, 300, 350 the range of the data set is 250.

<h3>What is range?</h3>

It is defined as the difference between the maximum value in the data set to the minimum value in the data set.

We have:

Last summer, Winky's watermark kept track of the number of park visitors each day.

The data given:

100, 150, 200, 250, 300, 350

As we know range is a statistical measure which is the difference between maximum and minimum value.

Range = maximum value in data set—minimum value in data set

Range = 350 - 100 = 250

Thus, as per the given data 100, 150, 200, 250, 300, 350 the range of the data set is 250.

Learn more about the range here:

brainly.com/question/17553524

#SPJ1

5 0

1 year ago

Is the dilation from A to B a reduction or enlargement?

WITCHER [35]

Answer:

This is actually a reduction, and the scale factor of this dilation is 0.5.

8 0

2 years ago

Read 2 more answers

In a period of 2 and one-fourth hours, 5 and one-half gallons of water leaked from a water tank. How much water did the tank los

Neko [114]

Answer:

A) $\frac{9}{4}$ ÷ $\frac{11}{2}$

Step-by-step explanation:

6 0

3 years ago

Read 3 more answers

Mr. Wells tells his class of 24 that when

abruzzese [7]

Answer:

About 10 people

Step-by-step explanation:

40% is 0.4. 24 × 0.4 = 9.6 which is approximately 10.

3 0

2 years ago

According to sleep researchers, if you are between the ages of 12 and 18 years old, you need 9 hours of sleep to be fully functi

Alexxx [7]

Answer:

d) H0:μ=9 and Ha:μ<9

$t=\frac{7.9-9}{\frac{2.1}{\sqrt{28}}}=-2.77$

$p_v =P(t_{(27)}$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, we can conclude that the true mean is significantly lower than 9 hours at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=7.9$ represent the sample mean

$s=2.1$ represent the sample standard deviation

$n=28$ sample size

$\mu_o =9$ represent the value that we want to test

$\alpha$ 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 students at this high school are getting too little sleep, the system of hypothesis would be:

Null hypothesis: $\mu \geq 68$

Alternative hypothesis: $\mu < 68$

If we analyze the size for the sample is < 30 and 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".

The best option for this case would be:

d) H0:μ=9 and Ha:μ<9

Calculate the statistic

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

$t=\frac{7.9-9}{\frac{2.1}{\sqrt{28}}}=-2.77$

P-value

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

$df=n-1=28-1=27$

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

$p_v =P(t_{(27)}$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, we can conclude that the true mean is significantly lower than 9 hours at 5% of signficance.

8 0

3 years ago