Joe drove 48 miles using 7 gallons of gas. At this rate, how many miles would he drive using 60 gallons of gas?

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

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

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

6 0

3 years ago

Determine if the functions are even, odd or neither.

marusya05 [52]

I'm pretty sure its neither just substitute the x for -2 and solve. There has to be a consistency in the values 3 times for there to be a pattern.

5 0

3 years ago

The sign of the product of –35 and –625 is

Anarel [89]

Step-by-step explanation:

The mathematical sign for the operation is subtraction.

To Solve This You Will Need To;

1] The sign of the product of -35 and -625 is;

It's going to be;

-35--625

The negative sign will turn into addition sign before you can operate it. So it's going to be;

-35+625=590(positive)

It's just like subtracting 35 from 625.

2] The sign of the product of 263 and 0 is;

263-0

With this no quantity is going to be subtracted so the 263 will remain the same. 

So 263-0=263(positive)

3] The sign of the product of -21 and 451 is;

-21-451

With this you won't subtract but rather you'll add and when you add the answer is going to be -472

-472(negative)

4] The sign of the product of -350 and 89 is;

-350-89

With this you will add it but you won't subtract the negatives so it's going to be;

-350-89=-439(negative)

Hope I am Correct I didn't really understand your question well. But Good Luck:)

3 0

3 years ago

Read 2 more answers

Find the distance between the points (13,20) and (18,8)

steposvetlana [31]

Answer:

(5,12)

Step-by-step explanation:

because 18-13=5 and 20-8=12

5 0

4 years ago

Read 2 more answers

An operations analyst counted the number of arrivals per minute at an ATM in each of 30 randomly chosen minutes. The results wer

liraira [26]

Step-by-step explanation:

since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is

$\hat{\lambda}=\bar{x}=\frac{\sum x}{n}=\frac{30}{30}=1$

So probabaility for $\mathrm{X}=1$ is

$P(X=1)=\frac{e^{-\lambda} \lambda^{x}}{x !}=\frac{e^{-1} \cdot 1^{1}}{1 !}=0.3679$

So expected frequency for $X=1$ is $0.3679^{*} 30=11.037$ (or $\left.11.04\right)$ .

8 0

3 years ago