An advertisement claims that Fasto Stomach Calm will provide relief from indigestion in less than 10 minutes. For a test of the claim, 35 randomly selected individuals were given the product; the average time until relief was 9.25 minutes. From past studies, the standard deviation of the population is known to be 2 minutes. Can you conclude that the claim is justified? Find the P-value and let a = 0.05.

Answers

Answer 1

Answer:

Answer:

$z=(9.25-10)/((2)/(√(35)))=-2.219$

$p_v =P(z<-2.219)=0.0132$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v<\alpha$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.

Step-by-step explanation:

Data given and notation

$\bar X=9.25$ represent the sample mean

$\sigma=2$ represent the population standard deviation

$n=35$ sample size

$\mu_o =10$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z 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 less than 10 minutes, the system of hypothesis would be:

Null hypothesis: $\mu \geq 10$

Alternative hypothesis: $\mu < 10$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=(\bar X-\mu_o)/((\sigma)/(√(n)))$ (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".

Calculate the statistic

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

$z=(9.25-10)/((2)/(√(35)))=-2.219$

P-value

Since is a left tailed test the p value would be:

$p_v =P(z<-2.219)=0.0132$

Conclusion

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What will the time be after 1 hour 5 minutes from 8:15 am

Answers

Answer:

9:20 am

Step-by-step explanation:

Add 1 hour

8:15 to 9:15

Add 5 minutes

9:15 to 9:20

Answer:

9:20 am

Step-by-step explanation:

So, lets go over two things.

Minutes and hours.

Minutes changes the second number.

You know how when a number goes from 9 to 10 how the ones place is set to 0, and the tens place goes up? Its the same with time, only when the number goes from 59 to 60, the hour goes up.

Hours changes the hours place, and when it hits 12, it resets to 1, and the words am go to pm, or pm goes to am.

In this case. we are moving the minutes place up by 5:

15+5=20

So the minutes place is 20, and does not change the hours place since it is below 60.

Next we have a increase in hours by 2:

8+1=9

So the hours place is 9, and does not reset or change the pm/am since its below 12.

Answer:

9:20am

Hope thias helps!

According to CNN business partner Careerbuilder, the average starting salary for accounting graduates in 2018 was at least $57,413. Suppose that the American Society for Certified Public Accountants planned to test this claim by randomly sampling 200 accountants who graduated in 2018. State the appropriate null and alternative hypotheses.

Answers

Answer:

Null hypothesis: The American Society for Certified Public Accountants says the average starting salary of accountants who graduated in 2018 is $57,413

Alternate hypothesis: The American Society for Certified Public Accountants says the average starting salary of accountants who graduated in 2018 is less than or equal to $57,413

Step-by-step explanation:

A null hypothesis is a statement from a population parameter that is subject to testing. It is expressed with equality.

An alternate hypothesis is also a statement from the population parameter that negates the null hypothesis. It is expressed with inequality

Solve the equation for the value of x-6=x/-4

Please show your work, thank you.

Answers

Answer: x=24

x=-6*-4=24

The tree diagram represents anexperiment consisting of two trials.
.4
.5
.6
D
.3
С
.5
.7
D
Þ(B and D) = [?]
ter

Answers

Answer:

0.35

Step-by-step explanation:

.5x.7

1.) The island shown has a population of 12,175 people. Find the populationdensity in people per square kilometer.

18.5 km

11.1 km

Answers

Answer:

Population density = $148.22\ \text{people per square kilometer}$

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

$H^2=B^2+P^2$

H is Hypotenuse, B is base and P is perpendicular

$B=√(H^2-P^2) \n\nB=√((18.5)^2-(11.1)^2) \n\nB=14.8\ km$

Area of triangle is given by :

$A=(1)/(2)* b* P\n\nA=(1)/(2)* 14.8* 11.1\n\nA=82.14\ km^2$

$\text{Population density}=\frac{\text{Total population}}{\text{land area}}\n\n=(12175 )/(82.14)\n\n=148.22\ \text{people per square kilometer}$

Hence, the population density is $148.22\ \text{people per square kilometer}$ .

John invests $15,000 in a savings account that pays 2.5% simple interest. If John makes nowithdrawals or deposits into the account, how much will be in the account after 9 years?

Answers

Answer:

18,375

Step-by-step explanation:

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