Please find the sample size that would allow the graduate student below to draw a conclusion with 95% confidence and a power level of 0.85. Scenario: A graduate student has administered a pro-inflammatory substance, lipopolysaccharide (LPS), to humans in the form of a pill (2 doses – 0mg or placebo and 15mg; n=35 patients per group). She then determines the blood concentration (in pg/ml) of a particular protein that is known to be upregulated due to LPS called Inflammotin using ELISA (hint: pick the correct test – remember the power table depends on the alpha value and the test type). The effect size (difference in population means) she would like to detect is 70 pg/ml of Inflammotin and the population standard deviation (estimated from a pilot study) for both groups is 100 pg/ml of Inflammotin.
(10 points)What is α? __________________________________
(10 points)What is β? __________________________________
(10 points)What is the appropriate test? _____________________________________________________________
(25 points)What is the normalized difference? (Show work.)
(25 points)What is the appropriate sample size (or number of sample per group) that would allow us to draw conclusions about the aforementioned experiment with 95% confidence and a power level of 0.85? ______________________________________________
(20 points)Has the graduate student selected the appropriate sample size for our power and confidence criteria? Why or why not? ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Please find the sample size that would allow the graduate student below to draw a conclusion...
Pg 417 6.47 For a hypothesis test H0: p = 0.3 Ha: p < 0.3 a random sample of size n 200 is taken and the sample proportion p = 0.21 (a) Determine whether it is appropriate to use the normal distribution to estimate the p-value. (b) If it is appropriate to use a normal distribution, complete the test for a significance level of 5% Pg 418 6.55 Home Field in Baseball 2009 There were 2430 Major League Baseball games played in 2009, and the home team won the...
8. A two-tailed hypothesis test for a repeated-measures design Аа Аa A graduate student is interested in whether journaling can affect grief and healing. For his study, he selects a random sample of 64 adults who have been widowed within the past 10 to 14 months. The subjects complete a battery of psychological questionnaires before and after spending two months journaling about their emotions. Before the two months of journaling, the mean score on the impact of event scale-avoidance subscale,...
A graduate student in education has developed an mathematical intervention program for under-performing school children. To test the effectiveness of his intervention he administers a math skills assessment at the beginning of the school year to a sample of n-25 students. He then implements the program throughout the year and re-assess the students again at the end of the school year. On average there was a 3 point difference between time 1 and time 2, with a variance value of...
SHOW HOW TO FIND THE SAMPLE SIZE WITH TI 83 STEPS
An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 7 IQ points of the true mean Assume a :21 and determine the required sample size using...
1. The Graduate Management Admission Test (GMAT) is a test
required for admission into many masters of business administration
(MBA) programs. Suppose a random sample of 8 students took the
test, and their scores are given below.
699, 560, 414, 570, 521, 663, 727, 413
a. Find a point estimate of the population mean.
b. Write a sentence about how you can verify the data could come
from a population that is normally distributed, using the graph
below.
c. Construct...
Suppose a population has a standard deviation of 6. You draw a random sample of size 97 and test the null hypothesis that the population mean is 95. If the true population mean is 97, what is the probability of making a Type 2 error? How large a sample size would you need to have power of 80% in a one-sided test?
A graduate student believed that, on the average, college students spend more time on the Internet compared to the rest of the population. She conducted a study to determine if her hypothesis was correct. The student randomly surveyed 25 students and found that the average amount of time spent on the Internet was 8.75 hours per week with a SD = 3 hours. The last census found that, on the average, people spent 11 hour per week on the Internet....
Using the dataset that you used for the midterm (Find it on the Blackboard), do the following: 1) (4 points) Submit the values for items a to e in the table below: mean, sample size, standard deviation, and 95% confidence interval for mean. (SPSS Command: Analyze/Descriptive Statistics/Explore) Variable Statistic Height Mean 71.2 Sample Size N 999 Standard Deviation 2.913 95% Confidence Interval for Mean Lower Bound 71.02 Upper Bound 71.38 2) (4 points) Assume that you want to test whether...
What would be the effect size for the effect of the new learning tool on San Diego Community College student learning outcomes given the difference between the population average of 80 and the sample of students who showed a mean test score of 83 and that the population standard deviation was 6? Use Cohen’s d to compute the effect size and identify the correct magnitude of the effect. Choose the answer that is entirely correct. Group of answer choices Cohen’s...
1. In a study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the results is listed below (1equals=not attractive; 10equals=extremely attractive). Construct a confidence interval using a 99% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult females? 6, 8, 1, 10, 7, 5, 8, 9, 7, 10, 3, 9 What is the confidence interval for the population mean muμ?...