Random sampling from four normally distributed populations produced the following data: (You may find it useful to reference the E table.) A -7 -13 -16 Treatments B -8 -9 -15 -4 SSTR MSTR Grand mean C -11 -5 D -9 Click here for the Excel Data File a. Calculate the grand mean. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) -16 -17 b. Calculate SSTR and MSTR. (Round Intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
Random sampling from four normally distributed populations produced the following data: (You may find it useful to reference the E table.) A -7 -13 -16 Treatments B -8 -9 -15 -4 SSTR MSTR Grand mean C -11 -5 D -9 Click here for the Excel Data File a. Calculate the grand mean. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) -16 -17 b. Calculate SSTR and MSTR. (Round Intermediate calculations to at least 4 decimal places and final answers to 4 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 2CYU
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Question
![Random sampling from four normally distributed populations produced the following data: (You may find it useful to reference the E
table.)
A
-7
-13
-16
Treatments
B
-8
-9
-15
-4
Grand mean
SSTR
MSTR
C
-8
-11
-5
-9
-4
Click here for the Excel Data File
a. Calculate the grand mean. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
D
-9
-16
-17
b. Calculate SSTR and MSTR. (Round Intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64bd03e5-7334-4f8d-803b-703603d497fd%2Fcab0ba44-a339-4a27-ac40-617e382ef370%2F52ltz96b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Random sampling from four normally distributed populations produced the following data: (You may find it useful to reference the E
table.)
A
-7
-13
-16
Treatments
B
-8
-9
-15
-4
Grand mean
SSTR
MSTR
C
-8
-11
-5
-9
-4
Click here for the Excel Data File
a. Calculate the grand mean. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
D
-9
-16
-17
b. Calculate SSTR and MSTR. (Round Intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
![c. Calculate SSE and MSE. (Round Intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
SSE
MSE
d. Specify the competing hypotheses in order to determine whether some differences exist between the population means.
Hg: HA= B = HC
Hg: HAS HB SHC
Ho: MAZ HB 2 HC
e-1. Calculate the value of the F(df1, df2) test statistic. (Round Intermediate calculations to at least 4 decimal places and final
answer to 3 decimal places.)
Test statistic
HA: Not all population means are equal.
HA: Not all population means are equal.
HA: Not all population means are equal.
e-2. Find the p-value.
p-value 20.10
O 0.05 p-value < 0.10
0.025 s p-value < 0.05
p-value < 0.01
O 0.01 s p-value < 0.025
f. At the 5% significance level, what is the conclusion to the test?
Do not reject He since the p-value is not less than significance level
Relect H₂ since the p-value is less than significance level](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64bd03e5-7334-4f8d-803b-703603d497fd%2Fcab0ba44-a339-4a27-ac40-617e382ef370%2F998uxnt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:c. Calculate SSE and MSE. (Round Intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
SSE
MSE
d. Specify the competing hypotheses in order to determine whether some differences exist between the population means.
Hg: HA= B = HC
Hg: HAS HB SHC
Ho: MAZ HB 2 HC
e-1. Calculate the value of the F(df1, df2) test statistic. (Round Intermediate calculations to at least 4 decimal places and final
answer to 3 decimal places.)
Test statistic
HA: Not all population means are equal.
HA: Not all population means are equal.
HA: Not all population means are equal.
e-2. Find the p-value.
p-value 20.10
O 0.05 p-value < 0.10
0.025 s p-value < 0.05
p-value < 0.01
O 0.01 s p-value < 0.025
f. At the 5% significance level, what is the conclusion to the test?
Do not reject He since the p-value is not less than significance level
Relect H₂ since the p-value is less than significance level
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