Heights of females follow a normal distribution with mean 64.5 inches in the United States. (a) You take a sample of 15 female students at UNC and observe the sample mean of heights to be 65.73 inches and the sample standard deviation to be 2.5 inches. Is this strong enough evidence that the average height of female students at UNC is higher than national average? (I) State the hypothesis. Ο H0: μ=64.5, Ha: μ+ 64.5 Ο Ho: μΕ64.5, Ha: μ< 64.5 Ο Hρ: μ-64.5, Ha: μ > 64.5 (II) Compute the test statistic. (Answer to two decimal places) t = (III) Compute the p-value. (Answer to four decimals) (IV) State your conclusion at the 5% significance level. O Reject Ho O Fail to reject Ho

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.