The group of students had a test on Statistics. The following student’s blood pressure results are given in the table before and after the test: Student 1 2 3 4 5 6 7 8 before 70 74 73 80 74 85 81 75 after 72 78 75 79 84 88 82 78 а) Find 95% confidence interval for the μd - difference of the student’s blood pressure results before and after the test, b) Do the data support that the blood pressure is changed at the α=0.05? The difference is believed to be approximately normally distributed.

The group of students had a test on Statistics. The following student’s blood pressure results are given in the table before and after the test: Student 1 2 3 4 5 6 7 8 before 70 74 73 80 74 85 81 75 after 72 78 75 79 84 88 82 78 а) Find 95% confidence interval for the μd - difference of the student’s blood pressure results before and after the test, b) Do the data support that the blood pressure is changed at the α=0.05? The difference is believed to be approximately normally distributed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

The group of students had a test on Statistics. The following student’s blood pressure results are given in the table before and after the test:

Student	1	2	3	4	5	6	7	8
before	70	74	73	80	74	85	81	75
after	72	78	75	79	84	88	82	78

а) Find 95% confidence interval for the μ_d- difference of the student’s blood pressure

results before and after the test, b) Do the data support that the blood pressure is changed at the α=0.05? The difference is believed to be approximately normally distributed.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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