The cost of weddings in the United States has skyrocketed in recent years. As a result, many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort recently advertised in Bride Magazine that the cost of a Caribbean wedding was less than $10,000. Listed below is a total cost in $1000s for a sample of 8 Caribbean weddings.
9.1, 9.5, 10.1, 8.8, 8.5, 10.1, 9.8, 9.2
At the .005 significance level, is it reasonable to conclude the mean wedding cost is less than $10,000 as advertised?

If we compare the p value and the significance level assumed we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is lower than 10000 at 5% of signficance.

Step-by-step explanation:

Data given and notation  

We have the following data: 9.1, 9.5, 10.1, 8.8, 8.5, 10.1, 9.8, 9.2

We can calculate the mean and deviation with these formulas:

represent the mean height for the sample  

represent the sample standard deviation  

sample size  

represent the value that we want to test

represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

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 lower than 10000 (10), the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

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:  

 (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:  

P-value

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

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

Conclusion  

If we compare the p value and the significance level assumed we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is lower than 10000 at 5% of signficance.

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.