A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Upper H Subscript 0 Baseline colon mu equals 12 against Upper H Subscript 1 Baseline colon mu less-than 12 using a random sample of n equals 4 specimens. Calculate the P-value if the observed statistic is x overBar equals 11.1.

Calculate the P-value    

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

Step-by-step explanation:

Data given and notation    

represent the sample mean

represent the population 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 determine if the mean is equal to 12 or not, the system of hypothesis would be:    

Null hypothesis:    

Alternative hypothesis:    

We know the population deviation, and the sample size <30, 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:    

(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:    

Calculate the P-value    

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

there will be 35 boys in each team. : )

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.