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before coaching (yards) Tee shot distance after coaching (yards) 218 213 231 224 239 253 246 242 Leo is interested to see whether the mean distance of his tee shots after coaching has increased or not, and decides to use a t-test at the 5% significance level to compare the means of his tee shot distances before and after coaching. (a) Write down an assumption about the distribution of the data so that a t-test can be conducted. (b) State the null hypothesis. (6) State whether this is a one-tailed or two-tailed test. (c) Perform a t-test, writing down the p-value for the test. (d) Justifying your decision, what conclusion should Leo draw about the mean of his tee shot distances before and after coaching?

before coaching (yards) Tee shot distance after coaching (yards) 218 213 231 224 239 253 246 242 Leo is interested to see whether the mean distance of his tee shots after coaching has increased or not, and decides to use a t-test at the 5% significance level to compare the means of his tee shot distances before and after coaching. (a) Write down an assumption about the distribution of the data so that a t-test can be conducted. (b) State the null hypothesis. (6) State whether this is a one-tailed or two-tailed test. (c) Perform a t-test, writing down the p-value for the test. (d) Justifying your decision, what conclusion should Leo draw about the mean of his tee shot distances before and after coaching?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Leo Forest is a keen golfer and would like to improve the distances he achieves with his tee shots (his first shot). In a bid to improve his tee shot distance Leo hires a golf coach. He records the distances, in yards, of his tee shots both before and after coaching, with the results shown in the table below. Tee shot distance 190 196 208 216 201 223 220 230 243 before coaching (yards) Tee shot distance 218 213 231 224 239 253 246 242 after coaching (yards) Leo is interested to see whether the mean distance of his tee shots after coaching has increased or not, and decides to use at-test at the 5% significance level to compare the means of his tee shot distances before and after coaching. (a) Write down an assumption about the distribution of the data so that a t-test can be conducted. (b) ) State the null hypothesis. (1) (i) State whether this is a one-tailed or two-tailed test. (c) Perform a t-test, writing down the p-value for the test. (d) Justifying your decision, what conclusion should Leo draw about the mean of his tee shot distances before and after coaching?
Transcribed Image Text:Leo Forest is a keen golfer and would like to improve the distances he achieves with his tee shots (his first shot). In a bid to improve his tee shot distance Leo hires a golf coach. He records the distances, in yards, of his tee shots both before and after coaching, with the results shown in the table below. Tee shot distance 190 196 208 216 201 223 220 230 243 before coaching (yards) Tee shot distance 218 213 231 224 239 253 246 242 after coaching (yards) Leo is interested to see whether the mean distance of his tee shots after coaching has increased or not, and decides to use at-test at the 5% significance level to compare the means of his tee shot distances before and after coaching. (a) Write down an assumption about the distribution of the data so that a t-test can be conducted. (b) ) State the null hypothesis. (1) (i) State whether this is a one-tailed or two-tailed test. (c) Perform a t-test, writing down the p-value for the test. (d) Justifying your decision, what conclusion should Leo draw about the mean of his tee shot distances before and after coaching?
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