Asample of a given size is used to construct a 95% confidence interval for the population mean with a known population standard deviation. if a bigger sample had been used instead, then the 95% confidence interval would have been and the probability of making an error would have been

a. wider; smaller

b. narrower; smaller

c. wider; unchanged

d. narrower; unchanged

Option b is right

Step-by-step explanation:

Given that a sample of a given size is used to construct a 95% confidence interval for the population mean with a known population standard deviation.

Now let us assume for no change in std deviation only n increases

Since margin of error is inversely proportional to square root of n, we get as n increases margin of error decreases and as a result the width of confidence interval would decrease.

This will again ensure that type I error decreases.

So correct option would be

narrower: SMALLER

step-by-step explanation:

this is not a question

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.