You wish to test the following claim (HaHa) at a significance level of ?=0.02?=0
ID: 2948565 • Letter: Y
Question
You wish to test the following claim (HaHa) at a significance level of ?=0.02?=0.02.
Ho:?=55.7
Ha:??55.7
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=13 with mean M=40.1 and a standard deviation of SD=14.8
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
less than (or equal to) ??
greater than ??
This p-value leads to a decision to...
reject the null
accept the null
fail to reject the null
As such, the final conclusion is that...
There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 55.7.
There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 55.7.
The sample data support the claim that the population mean is not equal to 55.7.
There is not sufficient sample evidence to support the claim that the population mean is not equal to 55.7.
Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
? : Mean of population
H0 : ? = 55.7
HA : ? ? 55.7
Hypothesis test results:
Hence,
p - value = 0.0025
p - value is less than (or equal to) ?
reject the null
The sample data support the claim that the population mean is not equal to 55.7. Option C is correct.
Mean Sample Mean Std. Err. DF T-Stat P-value ? 40.1 4.1047815 12 -3.8004459 0.0025Related Questions
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