A new post-surgical treatment is being compared with a standard treatment. Seven subjects receive the new treatment, while seven others (the controls) receive the standard treatment. The recovery times, in days, are given below. Treatment: 12 13 15 19 20 21 22.00 Control: 18 23 24 30 32 35 39 Let μx represent the population mean for the control patients and let μy represent the population mean for the treated patients. Find a 98% confidence interval for the difference μx - My. (Round the final answers to three decimal places.)

A new post-surgical treatment is being compared with a standard treatment. Seven subjects receive the new treatment, while seven others (the controls) receive the standard treatment. The recovery times, in days, are given below. Treatment: 12 13 15 19 20 21 22.00 Control: 18 23 24 30 32 35 39 Let μx represent the population mean for the control patients and let μy represent the population mean for the treated patients. Find a 98% confidence interval for the difference μx - My. (Round the final answers to three decimal places.)

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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Question

HINT: How can we compute the confidence interval for the difference between the means?

A new post-surgical treatment is being compared with a standard treatment. Seven subjects receive the new treatment, while seven
others (the controls) receive the standard treatment. The recovery times, in days, are given below.
Treatment: 12 13 15 19 20 21
22.00
Control: 18 23 24 30 32 35 39
Let μx represent the population mean for the control patients and let μy represent the population mean for the treated patients.
Find a 98% confidence interval for the difference μxy. (Round the final answers to three decimal places.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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