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 = 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

Since n is less than 30 and population sd unknown, utilizing t test for single mean.

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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the mean IQ…

A: Given that Sample size n =21 Sample mean =115 Standard deviation=11

Q: Women's heights are normally distributed with mean 63.8in and standard deviation 2.6in. The U.S.…

A: Given that the men heights are normally distributed with mean 69.5 in and standard deviation 2.4…

Q: Unlike most packaged food products, alcohol beverage container labels are not required to show…

A: The summary of statistics is,

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

Q: A study of all widgets from a factory showed the mean age of widgets to be 22.2 years with a…

A: A parameter is a descriptive measure that is calculated for the entire population. Generally, we…

Q: A researcher studying stress is interested in the blood pressure measurements of chief executive…

A: 1) The researcher is testing whether mean is different from 136. Hence, the null hypothesis and…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Z-score = (X-mean)/Standard deviation Put given values in formula : Given information : Mean =…

Q: he effects of mentoring on intelligence scores. He wanted to know as a baseline what the averag

A: mean(μ)=100standard deviation(σ)=16 n=50 let X~N(100,16)

Q: The height of students at the SFSU dormitory is normally distributed with a population mean of 66…

A: For the given distribution of heights (in inches) of the students, it is given that:The mean,…

Q: The National Health Statistics Reports published in 2018 reported that a sample of 360 ten-year- old…

A: Null and alternate hypotheses: The investigator is specifically interested to test whether the mean…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given that, Mean = 130 Standard deviation = 20 Raw score = 156

Q: Many high school students take either the SAT or the ACT. However, some students take both. Data…

A: For ACT:n = 100 = 20 = 5For SAT:n = 100 = 920 = 170Also, the correlation coefficient between SAT and…

Q: Show and explain all steps in calculating the mean and standard deviation of the data set assigned…

A: The question is about descriptive statistics Given data : To explain : 1 ) importance of dividing…

Q: 1. The mean serum level measured in 12 patients twenty-four hours after they received a newly…

A: Hypothesized Population Mean (µ) = 1 mg/dl The provided sample mean is = 1.2 mg/dl Sample standard…

Q: The average annual rainfall in a town recorded over a century is known to be 90mm with a standard…

A: Solution : Given that, The average annual rainfall in a town recorded over a century is known to be…

Q: his assignment (and the questions that follow) focuses on the "age" variable in spss, which was…

A: Given: SPSS output for the data for the variable age.

Q: The results of a common standardized test used in psychology research is designed so that the…

Q: according to CDC the mean cholerestol for men between 20-29 is 180 mg/dL with a standard deviation…

Q: A data set has a mean of 40 and standard deviation of 8. -2 standard deviation = -1 standard…

A: From the provided information, Mean of the data set (µ) = 40 Standard deviation (σ) = 8 Using…

Q: is 80 a suspect outlier

A: Here given, One indicator of an outlier is that an observation is more than 2.5 standard deviations…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given,mean(μ)=170standard deviation(σ)=10A raw score(X)=198

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Consider X be a random variable which follows normal distribution indicating the score earned on a…

Q: aul received a score of 70 on a history test for which the class meam ass? biology test O history…

A: Concept: A z-score is known as the standard score that determines how much the data point deviates…

Q: The Pearson correlation between a driver’s age and the cost of car insurance is -.81. i.…

A: Scatterplot is the plot of the pairs of observations where the independent variable plotted on…

Q: How does the curve change when the standard deviation is the same and the mean changes?

A: The mean is the center of symmetry of a curve or normal density curve.

Q: Look at your height, either on your Driver's License or ID card or actually measured. Calculate the…

Q: Robert finished a triathlon in 64.5 minutes. Among all men in the race, the mean finish time was…

A: formula for z-score is

Q: The cholesterol levels of a group of young women at a university are normally distributed, with a…

A: Given μ=190σ=37 Let X: Random variable for the cholesterol level of young women Then X~N(190,372)

Q: People who diet can expect to lose an average of 3kg in a month. In a book, the authors claim that…

A: given data claim : μ <3 n = 180 x¯ = 2.7 s = 2.8 α = 0.05

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given Data; x¯=165σ=50x=145

Q: A study was done for the job satisfaction. In the first study, an Engineer was score 72 with a mean…

A: Given data, For first studyScore (x)=72μ=80σ=12For second studyScore (x)=19μ=20σ=5

Q: I wanted to test if the mean Exam 3 score in this course was different than the mean Exam 2 score.…

Q: The mean total serum cholesterol level in women free of cardiovascular disease is 205 with a…

A: The independent variable is total serum cholesterol level in women free of cardiovascular disease.…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Formula for z-score is,

Q: Grade 6 and Grade 8 students were asked how long it takes them to get to school in the morning. The…

A: The measure of the centre is calculated using the observations such as mean, median and mode. The…

Q: According to the data, the mean quantitative score on a standardized test for female college-bound…

A: given data normal distributionμ = 500σ = 100P(x>725) = ?

Q: The distribution of scores has a mean of 92 and standard deviation of 6. Explain why these scores…

A: A normal distribution has 15.86 percentage values more than one standard deviation units above the…

Q: The mean score on a driving exam for a group of driver's education students is 64 points, with a…

A: Mean()=64standard deviation()=3k=2

Q: tod er m Goozen (2013) studied the exter Hdlers could predict aggression in ported that the…

A: We have a formula to find standardized beta coefficient usign r and R^2

Q: A data set has a mean of 40 and standard deviation of 8. -2 standard deviation = -1 standard…

A: It is given that the mean is 40 and the standard deviation is 8.

Q: fter finding the range for the age variable, you worry that perhaps this value is being influenced…

A: Given: SPSS output for the variable age,

Q: Two thousand students took an exam. The scores on this exam are Normally distributed with mean =81…

A: Given data, mean =81 points standard deviation =15 points. Find the middle 50% of the exam scores…

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.

- 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 =

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

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Method

VIEW

Solution

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The distribution of weights for newborn babies is approximately normally distributed with a mean of 7.3 pounds and a standard deviation of 0.7 pounds. The middle 95% of newborn babies weigh between , and , pounds. What percent of newborn babies weigh less than 5.9 pounds? Approximately 50% of newborn babies weigh more than , pounds
For item 4 to 6. Table 3.8 shows the heights of a sample of 12 fathers and their oldest adult sons. Find the coefficient of rank correlation in two decimal places. Height of father(inches) 65 63 67 64 68 62 70 66 68 67 69 71 X Height of 68 66 68 65 69 66 68 65 71 67 68 70 son(inches) Y sample answer. 0.15 -0.65
Pls help ASAP
Raul received a score of 77 on a history test for which the class mean was 70 with a standard deviation of 9. He received a score of 75 on a biology test for which the class mean was 70 with standard deviation 4. On which test did he do better relative to the rest of the class
please give some detailed solution and please do not copy other's work,thanks!! According to a union agreement, the mean income for all senior-level assembly-line workers in a large company is $500 per week. A representative of a women's group decides to analyse whether the mean income for female employees matches this norm. For a random sample of 50 female employees, the mean is $410 and the SD is $90. Test with a-0.05, whether the mean income of female employees differs from $500 per week. What is the probability of the Type II error in this case?
I wanted to test if the mean Exam 3 score in this course was different than the mean Exam 2 score. To conduct this test I used the 30 students in my course last semester as my sample. I first calculated the difference in scores between Exam 2 and Exam 3 ("Exam 2 score - Exam 3 score"). The sample mean of these differences is 2.0 and the sample standard deviation of the differences is 3.0. What is your decision for this test? Group of answer choices 1. Reject the null hypothesis 2. Retain the null hypothesis
In the past lessons, you have collected real data set to be described using statistical values. Using the same or similar data set, formulate a problem which you will solve using the normal curve concepts. Discuss your procedure with your classmates.
The results of a common standardized test used in psychology research is designed so that the population mean is 155 and the standard deviation is 30. A subject earns a score of 194. What is the z-score for this raw score?z-score =
Please
Konstantinos participates in a bowling league each summer and again each autumn. In Summer 2021, his mean score for the year was 160. For the whole league, the mean score was 158 with a standard deviation of 6. For Autumn 2021, his mean score was 164. The mean for the entire Autumn league was 160 with a standard deviation of 4.5. In which league (summer or autumn) did Konstantinos perform better relative to his peers? please explain your response and round any numeric answers to three (3) decimal places
Please do not give solution in image format thanku.