Лабораторна робота № 2 СТАТИСТИЧНА ПЕРЕВІРКА ГІПОТЕЗ Мета роботи: - поглибити теоретичні знання з теми: «Статистична перевірка гіпотез» - прищепити практичні навички аналізу даних; - навчити знаходити точкові оцінки параметрів генеральної сукупності; - навчити висувати та записувати гіпотези; - робити висновки на основі статистичних даних. 3міст роботи: - висунути гіпотези, сформулювати основну та альтернативну гіпотези; - знайти точкові оцінки математичного сподівання, і середньоквадратичного відхилення; - знайти теоретичні ймовірності; - побудувати статистику \( t \) - зробити висновки користуючись критерієм Пірсона.

\#2 A survey was taken comparing the number of hours per week students spent studying and their performance on an exam. If a linear regression was performed and the correlation coefficient was -0.017 , what can be said about these results? a. As the number of hours spent studying increases, student exam performances will likely not change. b. As the number of hours spent studying inrceases, student exam performances will probably increase. c. As the number of hours spent studying increases, student exam performances will probably decrease. d. There is little evidence of a linear relationship between the number of hours spent studying and student exam performances.

\#7 A set of data has correlation coefficient \( r \). For which value of \( r \) would the average magnitude of the residuals be the smallest? a. \( r=-0.034 \) b. \( r=0.472 \) c. \( r=0.908 \) d. \( r=0.952 \)

\#3 A set of data has correlation coefficient \( r \). For which value of \( r \) would the average magnitude of the residuals be the largest? a. \( r=-0.516 \) b. \( r=-0.445 \) c. \( r=0.875 \) d. \( r=0.158 \)

In a class, there are 750 learners in 1st year, 420 learners in 2 nd year. Draw a pie graph to represent the numbers of learners in these groups.

3 Get a similar questlon You can retry this question below A sample of size \( n=10 \) is drawn from a population. The data is shown below. \( \begin{array}{lllll}102.8 & 115.4 & 98.2 & 96.2 & 93.3 \\ 115.4 & 81.8 & 76.1 & 115.4 & 88.9\end{array} \) What is the range of this data set? range \( =\begin{array}{ll}39.3\end{array} \) What is the standard deviation of this data set? (Round to 2 decimal places) stdev \( =16.03 \)