A researcher reports that the average IQ level of students in Alaminos City  National High School (ACNHS) is 110. A sample of 20 students has a mean IQ  level of 106 with a standard deviation of 9. At 5% level of significance, test the  claim that the IQ level of students in ACNHS is 110.

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A researcher reports that the average IQ level of students in Alaminos City 
National High School (ACNHS) is 110. A sample of 20 students has a mean IQ 
level of 106 with a standard deviation of 9. At 5% level of significance, test the 
claim that the IQ level of students in ACNHS is 110.

- please use the diagram

Solution:
Given:
x =
μ = 110
S =
α =
Step 1:
Ho: μ = 110
Ha: μ ‡ 110
Step 2: Determine the test statistic, then compute its value. Since n < 30, we will
use
x-μ
t =
9
√20
9
2.25
t =
Step 3:
From the t-value table at 0.05 level of significance, the critical value is
||
df =
| 15
n =
Transcribed Image Text:Solution: Given: x = μ = 110 S = α = Step 1: Ho: μ = 110 Ha: μ ‡ 110 Step 2: Determine the test statistic, then compute its value. Since n < 30, we will use x-μ t = 9 √20 9 2.25 t = Step 3: From the t-value table at 0.05 level of significance, the critical value is || df = | 15 n =
Acceptance Region
or Non-Rejection
Region
-2.093
2.093
Step 4: Draw a conclusion.
Since it is a left-tailed test and the t-computed value is
than the critical value of
we
therefore conclude that
25
Rejection Region
which is
the null hypothesis. We
Transcribed Image Text:Acceptance Region or Non-Rejection Region -2.093 2.093 Step 4: Draw a conclusion. Since it is a left-tailed test and the t-computed value is than the critical value of we therefore conclude that 25 Rejection Region which is the null hypothesis. We
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