Lewis Harvey
2020-11-08
In a similar study using the same design (sample of
The average number who said they noticed was (population mean) 3.1. Calculate a One Sample t-test using a two-tailed test with
Elberte
Skilled2020-11-09Added 95 answers
Step 1
The null and alternative hypotheses are’
The sample mean is 6.4 and the population mean is 3.1.
Here, and . The estimate of the standard deviation is
.
Therefore, the .
Test statistic:
The test statistic for hypothesis test for mean is given by:
The test statistic is 2.2.
Step 2
Critical value:
Here, sample size is 9.
Thus, the degrees of freedom for the test is .
Therefore, the df is 15.
The critical value is using the excel formula “=(T.INV.2T(0.05,8))”
Decision rule:
Denote t as test statistic value and as the critical value.
Decision rule based on critical approach:
If , then reject the null hypothesis .
If , then fail to reject the null hypothesis .
Conclusion:
The test statistic value is given as 2.2 and critical value is .
Here, .
By the rejection rule fail to reject .
The test statistic value is 2.2.
The critical/cut off values is
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A)
B)
C)
D)
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