A researcher reports that the average income of system analysts in Makati is P44,000 per month. A sample of 30 system analysts has a mean salary of P45,800 and standard deviation of D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Please answer everything, after all they are connected to one another. Thank you.
A researcher reports that the average
income of system analysts in Makati is
P44,000 per month. A sample of 30
system analysts has a mean salary of
P45,800 and standard deviation of
P5,400.
Is there enough evidence to support the
claim at a = 0.01?
STEP 1:
Claim: The average income of system analysts in
Makati is [a] P44,000 per month.
Ho: The average income of system analysts in
Makati is [b] P44,000 per month.
Ha: The average income of system analysts in
Makati is [c] P44,000 per month.
STEP 2:
Type of test: [d]
Critical value/s: [e]
x = 0.01
STEP 3:
What is the computed test value? [f]
STEP 4:
Decision: [g]
STEP 5:
Transcribed Image Text:A researcher reports that the average income of system analysts in Makati is P44,000 per month. A sample of 30 system analysts has a mean salary of P45,800 and standard deviation of P5,400. Is there enough evidence to support the claim at a = 0.01? STEP 1: Claim: The average income of system analysts in Makati is [a] P44,000 per month. Ho: The average income of system analysts in Makati is [b] P44,000 per month. Ha: The average income of system analysts in Makati is [c] P44,000 per month. STEP 2: Type of test: [d] Critical value/s: [e] x = 0.01 STEP 3: What is the computed test value? [f] STEP 4: Decision: [g] STEP 5:
STEP 5:
Conclusion: [h] (Choose the letter of your answer.)
A. There is a significant difference between the
sample mean and population mean. Thus, there
is an enough evidence to support the claim.
B. There is no significant difference between the
sample mean and population mean. Thus, there
is an enough evidence to support the claim.
C. There is no significant difference between
the sample mean and population mean. Thus,
there is no enough evidence to support the
claim.
D. There is a significant difference between the
sample mean and population mean. Thus, there
is no enough evidence to support the claim.
Transcribed Image Text:STEP 5: Conclusion: [h] (Choose the letter of your answer.) A. There is a significant difference between the sample mean and population mean. Thus, there is an enough evidence to support the claim. B. There is no significant difference between the sample mean and population mean. Thus, there is an enough evidence to support the claim. C. There is no significant difference between the sample mean and population mean. Thus, there is no enough evidence to support the claim. D. There is a significant difference between the sample mean and population mean. Thus, there is no enough evidence to support the claim.
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