William Gosset was an English chemist who worked at the Guinness Brewery in Ireland. During the 1906-07 academic year, he was sent to work at Karl’s Pearson’s laboratory at the University of London. There Gossett developed the student-t distribution. Discuss the following: a. What are the differences between a student-t distribution and a normal distribution? b. What are the characteristics of a t-distribution? c. When constructing confidence intervals for the population mean, what distribution do we use: t-values or z-values?
William Gosset was an English chemist who worked at the Guinness Brewery in Ireland. During the 1906-07 academic year, he was sent to work at Karl’s Pearson’s laboratory at the University of London. There Gossett developed the student-t distribution. Discuss the following:
a. What are the differences between a student-t distribution and a
b. What are the characteristics of a t-distribution?
c. When constructing confidence intervals for the population mean, what distribution do we use: t-values or z-values?
d. What happens to confidence intervals when t-values are used instead of z-values?
e. Today t-values are used more often than z-values. Karl Pearson, the leading statistician of the day, learned about t-distributions from Gossett, yet he refused to use them. Why?
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