The formula for the slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is m=?

(1 point) The effectiveness of a new bug repellent is tested on 18 subjects for a 10 hour period. Based on the number and locati

jolli1 [7]

Answer:

z=1.59

If we compare the p value and the significance level given $\alpha=0.025$ we see that $p_v>\alpha$ so we can conclude that we fail to reject the null hypothesis, so we can conclude that the mean repellency of the new bug repellent is greater than 89% at 0.025 of signficance.

Step-by-step explanation:

1) Data given and notation

$\bar X=0.92$ represent the mean effectiveness of a new bug repellent for the sample

$\sigma=0.08$ represent the population standard deviation for the sample

$n=18$ sample size

$\mu_o =0.89$ represent the value that we want to test

$\alpha=0.025$ 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 determine if the mean repellency of the new bug repellent is greater than 89% or 0.89, the system of hypothesis would be:

Null hypothesis: $\mu \leq 0.89$

Alternative hypothesis: $\mu > 0.89$

We don't know the population deviation, and the sample size <30, so for this case 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:

$t=\frac{0.92-0.89}{\frac{0.08}{\sqrt{18}}}=1.59$

Calculate the P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=18-1=17$

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

$p_v =P(t_{17}>1.59)=0.065$

In Excel we can use the following formula to find the p value "=1-T.DIST(1.59;17;TRUE)"

Conclusion

If we compare the p value and the significance level given $\alpha=0.025$ we see that $p_v>\alpha$ so we can conclude that we fail to reject the null hypothesis, so we can conclude that the mean repellency of the new bug repellent is greater than 89% at 0.025 of signficance.

6 0

3 years ago

What is converse inverse and contrapostive?

Rufina [12.5K]

rhythm of the falling rain answered 6 yearGiven an if-then statement "if p, then q", we can create three related statements:

A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause.

For instance, “If it rains, then they will cancel school.”
“It rains, “is the hypothesis.
“They will cancel school,” is the conclusion.

To form the converse of the conditional statement, interchange the hypothesis and the conclusion.

The converse of “If it rains, then they will cancel school.” is
“If they cancel school, then it rains.”

To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.

The inverse of “If it rains, then they will cancel school” is “If it does not rain, then they do not cancel school.”

To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement.

The contrapositive of “If it rains, then they will cancel school” is “If they do not cancel school, then it does not rain.”

Summary:
Statement If p, then q.
Converse If q, then p.
Inverse If not p, then not q.
Contrapositive If not q, then not p.

If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true.

Example:
Statement If a person is 18 years old, then he is a legal adult.
Converse If a person is a legal adult, then he is 18 years old.
Inverse If a person is not 18 years old, then he is not a legal adult.
Contrapositive If a person is not a legal adult, then he is not 18 years old.

7 0

3 years ago

Find an equivalent system of equations for the following system: 2x + 4y = 4 -5x + 5y = 5

tamaranim1 [39]

Answer:

x+2y=2

-1x+1y=5

Step-by-step explanation:

Any system whose equations have the following characteristic

x+2y=2

-1x+1y=1

Is equivalent to the original system, since the differ in a number, the first equation is divided by 2 and the second by 5, we can say any system is equivalent to the original when it is escalated by a factor between its functions.

5 0

3 years ago

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Please solve and explain how you got your answer. (Thank you, MARKING BRAINIEST!!)

denpristay [2]

Answer:

The total square kilometers is 299.

Step-by-step explanation:

Area equals length times width.

3 0

3 years ago

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