As the degrees of freedom increase, what distribution does the Student\'s t dist

Question

As the degrees of freedom increase, what distribution does the Student's t distribution become more like? uniform binomial chi-square standard normal The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1278 1180 1306 1180 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year bar x and sample standard deviation s, (Round your answers to the nearest whole number.) bar x = A.D. s = yr (b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (Round your answers to the nearest whole number.) lower limit A.D. upper limit A.D.

Explanation / Answer

Please post 1 Qn at a time, according to forum rules.

Taking up Q1:

As the df increases the number of data points also increase
df = n-1
df increases, n-1 also increases

This means that n increases. As n increases the t distribution points towards Standard normal distribution.

Hence, the answer is Standard Normal distribution.

( So, t-dist is just a normal 'like' looking with fatter at tails and more flatter mode)

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