Test of Significance should include all of the following:
-Null and alternative hypothesis stated
-Level of significance stated, graph draw with critical region shaded and critical value indicated. (This is related to the lever of significance testing)
-Appropriate descriptive statistics of data.
-Test statistics (include formula)
-test statistic marked on graph
-Decision based on p-value.
-Non-technical sentence of conclusion and summary.
Part 1
Intelligence and the IQ test:
A persons IQ was initially defined as follows: Mental age/chronological age *100
Thus an IQ of 100 implies one's mental age is in agreement with one's actual age in years so such a person is very normal and of average intelligence. A 10-year old with an IQ of 130 has the intelligence level of a typical 13-year old. Over the years, researchers in education and psychology have debated the issues associated with the accurate determination and interpretation of a person's IQ. One of the earliers accepted standards was the Stanford-Binet IQ test which arose from work by the French psychologist Alfred Binet later modeffied by psychologists at Stanford University. In the mid-twentieth century, the Wechsler Adult Intelligence Scale (WAIS) developed by David Wechsler, was introduced and is favored today. At the Data and Story Library site. (htt://lib.stat.cmu.edu/DASL/) you will find a summary of an experiment designed to study the correlation (if any) between brain size and IQ. We are not interested in the correlation experiment inself but the associated data file provides a set of Wechsler IQ scores that you will work with in the exercises. Visit the DASL site, locate the data file for this experiment, and be sure you understand the meaning of the individual data point continuing to the exercises.
#1. Wechsler IQ scores for adults typically follow a distribution with mean 100 and standard deviation 15. Using the Full Scale IQ scores for females. Test the hypothesis that the mean of Female IQ scores is less than 115. Use a 0.05 level of significance.
Test of Significance should include all of the following: -Null and alternative hypothesis stated -Level of...
The Wechsler Adult Intelligence Scale (WAIS) is the most common "IQ test." The scale of scores is set separately for each age group and is approximately normal, with mean 100 and standard deviation 15. People with WAIS scores below 70 are generally considered eligible to apply for Social Security disability benefits. By this criterion, what percent of adults are in this IQ category?
2) Which of the following IQ tests was specifically designed to attempt to overcome ethnic and cultural biases that may exist in other IQ tests? A) the Wechsler-Bellevue Scale B) the WPPSI-R C) the Raven Progressive Matrices Test D) the Remote Associates Test 3) Luis completes a Wechsler scale and his overall score is 90. What may we conclude about Luis? A) He has an intellectual disability. B) His IQ is barely within the normal range C) His IQ is...
Question 13 20 pts Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Various temperature measurements are recorded at different times during the summer in Holtville on n-60 days. The mean of 8 = 100°F is obtained, with 0 - 10°F. Using the 0.05 significance level, test the claim that the mean temperature is over 995 Hop-100; Hy w 100. Test statistic: 2-0.77. P-value: 0.7794. Because the...
QUESTION 14 7 y Use the given set of points to test the null hypothesis Ho-B1 = 0 versus H:8, +0. Use the a=0.01 level of significance 14 15 10 9 6 14 15 32 17 36 26 21 15 34 37 Based on the data, the following are computed x = 90, y = = 218, x2 = 1108, y2 = 6476, and xy = 2677 Test statistic is 20.215. Reject Ho Test statistic is 2.069 Reject Ho Test...
2. A study of the relationship between age and blood pressure yielded the following data Blood Pressure (Y 126 131 161 128 1489 140 148 Test using a significance level of 5% whether there is an increasing linear relationship Age(X) 23 27 45 3 536 37 37 a. between age and blood pressure. Parameter: A- slope of regression line for blood pressure vs.age. Hypotheses: Test Statistic: t.A-A d.f- with the same variance. Rejection Region: Calculated Test: Conclusion P-value. b. Find...
You wish to test the following claim (Ha) at a significance level of a = 0.001. For the context of this problem, Hd = 42 Hy where the first data set represents a pre-test and the second data set represents a post-test. H:d=0 H:Hd < 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 21 subjects. The average difference (post- 4.2...
3. [25 marks] Some female psychology students were investigating whether intelligence depends on brain size. They each took a standard test that measured verbal IQ and also underwent an MRI scan to measure their brain size. The resulting data is below, file named IQBrain.csv. IQ BrainV 132 816.932 132 951.545 90 928.799 136 991.305 90 854.258 129 833.868 120 856.472 100 878.897 71 865.363 132 852.244 112 808.02 129 790.619 86 831.772 90 798.612 83 793.549 126 866.662 126 857.782...
Refer to the table of estimated regressions below, computed using data for 1999 from all 420 K-6 and K-8 districts in California, to answer the following question. The variable of interest, test scores, is the average of the reading and math scores on the Stanford 9 Achievement Test, a standardized test administered to fifth-grade students. School characteristics (average across the district) include enrollment, number of teachers (measured as "full-time equivalents"), number of computers per classroom, and expenditure per student. Results...
Hypothesis Problems For the following hypothesis tests: a. State the null (Ho) and alternative (Hi) hypotheses b. State the type of test (right-tailed, left-tailed, or two-tailed) c. State the multiplier for an a (level of significance) of .05. The Chamber of Commerce states that only 15% of Boston tourists stay more than 2 days. A new chamber employee feels that the percentage staying more than 2 days is greater than 15%, and plans to sample a set of tourists to...
READ THE DIRECTIONS PLEASE 6) Make your own word problem of the form of this problem. Your word problem should apply directly to biology major. State the null and alternative hypotheses and alpha (α) . (Since you don’t have any data, you need not actually conduct the hypothesis test). Please make a word problem stated above and answer all the parts based on the question below. 2 A data set includes data from student evaluations of courses. The summary statistics...