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. Solution:Given:x =μ = 110S =α =Step 1:Ho: μ = 110Ha: μ ‡ 110Step 2: Determine the test statistic, then compute its value. Since n < 30, we willusex-μt =9√2092.25t =Step 3:From the t-value table at 0.05 level of significance, the critical value is||df =| 15n = Acceptance Regionor Non-RejectionRegion-2.0932.093Step 4: Draw a conclusion.Since it is a left-tailed test and the t-computed value isthan the critical value ofwetherefore conclude that25Rejection Regionwhich isthe null hypothesis. We

Given:x¯=106, µ=110 s=9 df=n-1=20-1=19 n=20 α=0.05Step 1:The null and alternative…

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.

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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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Question

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.

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

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