A hospital has a main campus and three satellite locations. Management wants to reduce waiting time for ER cases. A random sample of 11 ER cases at each location was selected, and the waiting time was measured. (The table of data at the very end may be copied and pasted directly into Excel.) Complete parts (a) through (d) to determine if there is statistical evidence of a difference in the mean waiting times betweeen the four locations. Part 1 a. State the two hypotheses. Choose the correct answer below. A.H0:μ1=μ2=•••=μ4H1:Not allμjare equal (where j=1,2,...,4) B.H0:μ1=μ2=•••=μ4H1:μ1≠μ2≠•••≠μ4 C.H0:μ1=μ2=•••=μ11H1:μ1≠μ2≠•••≠μ11 D.H0:μ1=μ2=•••=μ11H1:Not allμjare equal (wherej=1,2,...,11) b. At the 0.05 level of significance, state the test statistic. (Round to two decimal places to the right of the decimal point as needed.) A.FSTAT = 0.005, from the first row of the ANOVA table B.FSTAT = 4.91, from the first row of the ANOVA table C.FSTAT = 2.05, from the first row of the ANOVA table D.FSTAT = 2.84, from the first row of the ANOVA table c.For a level of significance of 0.05, state thep-value. (Round to three decimal places to the right of the decimal point as needed.) A.p-value = 0.120 , from the first row of the ANOVA table B.p-value = 0.011 , from the first row of the ANOVA table C.p-value = 0.005 , from the first row of the ANOVA table D.p-value = 2.839 , from the first row of the ANOVA table Since the p-value is ▼less/greater than α,▼reject/do not reject H0. There is▼ sufficient/insufficient statistical evidence to conclude that there is a difference in the mean waiting time in the four locations. Main Campus Satellite #1 Satellite #2 Satellite #3 75.6 32.28 38.89 52.06 59.98 58.96 72.4 26.74 91.44 42.02 63.1 44.15 70.21 26.21 58.9 34.9 77.7 65.69 51.45 61.22 95.96 39.74 61.01 38.15 65.18 49.13 74.59 63.4 61.32 72.82 49.2 54.79 79.94 66.3 47.58 46.6 47.82 35.02 70.76 48.81 43.15 58.08 83.13 71.68

A hospital has a main campus and three satellite locations. Management wants to reduce waiting time for ER cases. A random sample of 11 ER cases at each location was selected, and the waiting time was measured. (The table of data at the very end may be copied and pasted directly into Excel.) Complete parts (a) through (d) to determine if there is statistical evidence of a difference in the mean waiting times betweeen the four locations. Part 1 a. State the two hypotheses. Choose the correct answer below. A.H0:μ1=μ2=•••=μ4H1:Not allμjare equal (where j=1,2,...,4) B.H0:μ1=μ2=•••=μ4H1:μ1≠μ2≠•••≠μ4 C.H0:μ1=μ2=•••=μ11H1:μ1≠μ2≠•••≠μ11 D.H0:μ1=μ2=•••=μ11H1:Not allμjare equal (wherej=1,2,...,11) b. At the 0.05 level of significance, state the test statistic. (Round to two decimal places to the right of the decimal point as needed.) A.FSTAT = 0.005, from the first row of the ANOVA table B.FSTAT = 4.91, from the first row of the ANOVA table C.FSTAT = 2.05, from the first row of the ANOVA table D.FSTAT = 2.84, from the first row of the ANOVA table c.For a level of significance of 0.05, state thep-value. (Round to three decimal places to the right of the decimal point as needed.) A.p-value = 0.120 , from the first row of the ANOVA table B.p-value = 0.011 , from the first row of the ANOVA table C.p-value = 0.005 , from the first row of the ANOVA table D.p-value = 2.839 , from the first row of the ANOVA table Since the p-value is ▼less/greater than α,▼reject/do not reject H0. There is▼ sufficient/insufficient statistical evidence to conclude that there is a difference in the mean waiting time in the four locations. Main Campus Satellite #1 Satellite #2 Satellite #3 75.6 32.28 38.89 52.06 59.98 58.96 72.4 26.74 91.44 42.02 63.1 44.15 70.21 26.21 58.9 34.9 77.7 65.69 51.45 61.22 95.96 39.74 61.01 38.15 65.18 49.13 74.59 63.4 61.32 72.82 49.2 54.79 79.94 66.3 47.58 46.6 47.82 35.02 70.76 48.81 43.15 58.08 83.13 71.68

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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A hospital has a main campus and three satellite locations. Management wants to reduce waiting time for ER cases. A random sample of 11 ER cases at each location was selected, and the waiting time was measured. (The table of data at the very end may be copied and pasted directly into Excel.) Complete parts (a) through (d) to determine if there is statistical evidence of a difference in the mean waiting times betweeen the four locations.

Part 1

a. State the two hypotheses. Choose the correct answer below.

A.H0:μ1=μ2=•••=μ4H1:Not allμjare equal (where j=1,2,...,4)

B.H0:μ1=μ2=•••=μ4H1:μ1≠μ2≠•••≠μ4

C.H0:μ1=μ2=•••=μ11H1:μ1≠μ2≠•••≠μ11

D.H0:μ1=μ2=•••=μ11H1:Not allμjare equal (wherej=1,2,...,11)

At the 0.05 level of significance, state the test statistic. (Round to two decimal places to the right of the decimal point as needed.)

A.FSTAT = 0.005, from the first row of the ANOVA table

B.FSTAT = 4.91, from the first row of the ANOVA table

C.FSTAT = 2.05, from the first row of the ANOVA table

D.FSTAT = 2.84, from the first row of the ANOVA table

c.For a level of significance of 0.05, state thep-value.

(Round to three decimal places to the right of the decimal point as needed.)

A.p-value = 0.120 , from the first row of the ANOVA table

B.p-value = 0.011 , from the first row of the ANOVA table

C.p-value = 0.005 , from the first row of the ANOVA table

D.p-value = 2.839 , from the first row of the ANOVA table

Since the p-value is

▼less/greater than α,▼reject/do not reject H0. There is▼ sufficient/insufficient

statistical evidence to conclude that there is a difference in the mean waiting time in the four locations.

Main Campus	Satellite #1	Satellite #2	Satellite #3
75.6	32.28	38.89	52.06
59.98	58.96	72.4	26.74
91.44	42.02	63.1	44.15
70.21	26.21	58.9	34.9
77.7	65.69	51.45	61.22
95.96	39.74	61.01	38.15
65.18	49.13	74.59	63.4
61.32	72.82	49.2	54.79
79.94	66.3	47.58	46.6
47.82	35.02	70.76	48.81
43.15	58.08	83.13	71.68

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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