Each person in random samples of 227 male and 293 female working adults living in a certain town in canada was asked how long, in minutes, his or her typical daily commute was. (use a statistical computer package to calculate the p-value. use μmales − μfemales. round your test statistic to two decimal places, your df down to the nearest whole number, and your p-value to three decimal places.)

the 95% confidence interval would be given by  

Step-by-step explanation:

Previous concepts  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

represent the sample mean 1  (males)

represent the sample mean 2  (females)

n1=227 represent the sample 1 size (males)  

n2=293 represent the sample 2 size (females)

sample standard deviation for sample 1  (males)

sample standard deviation for sample 2 (females)

represent the population standard deviation

parameter of interest.

Confidence interval

The confidence interval for the difference of means is given by the following formula:  

(1)  

The point of estimate for is just given by:

Since the sample size is large enough we can assume that th t distirbution is approximately equal to the normal distribution in order to find the quantile.

Let's assume a Confidence is 0.95 or 95%, the value of and , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that  

The standard error is given by the following formula:

And replacing we have:

Confidence interval

Now we have everything in order to replace into formula (1):  

So on this case the 95% confidence interval would be given by  

R code

> barmale=30.2

> barfemale=27.9

> diff=barmale-barfemale

> smale=24

> sfemale=24.3

> nmale=227

> nfemale=293

> SE=sqrt((smale^2)/nmale +(sfemale^2)/nfemale)

> ME=qnorm(1-0.025)*SE

> lower=diff-ME;lower

[1] -1.882018

> upper=diff+ME;upper

[1] 6.482018

And we got the same results.

y= -

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.