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

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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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