Business
Engineering
Math
Science
Social ScienceProfessor Smith took a sample of 190 students from her morning class and a sample of 169 students from her evening class. On Exam 1, all those sampledfrom the morning class got a 68 while those sampled from the evening class averaged a 70 with a variance of 142. If Professor Smith combines these twosamples..Question 2What is the combined Exam 1 average?68.9415Question 3AWhat is the combined Exam 1 median?Question 3BWha is the shape of the combined Exam 1 grade distribution?Question 4What is the combined Exam 1 standard deviation?
How to solve for question 2-4?
Image Transcriptionclose
Professor Smith took a sample of 190 students from her morning class and a sample of 169 students from her evening class. On Exam 1, all those sampled from the morning class got a 68 while those sampled from the evening class averaged a 70 with a variance of 142. If Professor Smith combines these two samples.. Question 2 What is the combined Exam 1 average? 68.9415 Question 3A What is the combined Exam 1 median? Question 3BWha is the shape of the combined Exam 1 grade distribution? Question 4 What is the combined Exam 1 standard deviation?
Expert Answer
Question 2: Sample statistics of the two samples:
The given statistics for the two randomly selected samples regarding the data of Exam 1 scores of morning class and evening class students for Professor Smith are:
The number of students from the morning class is n1 = 190.
The number of students from the evening class is n2 = 169.
The average score in Exam 1 for the students from evening class is x2bar = 70.
The variance scores of Exam 1 for the students from evening class is s2^2 = 142.
Furthermore, it is given that each student from the morning class has scored 68 in Exam 1.
Mean: Mean is an important measure of center when the data is quantitative. Mean of a data set is the sum of the data set divided by the size.
The average score in Exam 1 for the students from morning class:
Obtain the combined Exam 1 score average.
The average score in Exam 1 for the students from morning class is x1bar = 68 and the average score in Exam 1 for the students from evening class is x2bar = 70.
The combined Exam 1 score average is obtained as xbar = 68.942 from the calculation given below:
Question 3A: Obtain the combined Exam 1 score median.
Median: The medianis the middle value in an ordered sequence of data. If there are no ties, half of the observations will be smaller than the median, and half of the observations will be larger than the median.
In case of discrete data, if the sample size is an odd number then the middle observation of the ordered data is the median and if the sample size is even number then the average of middle two observations of the ord...
Math
Statistics
Measures
Related Statistics Q&A
Q: Use one of the following key terms to answer each of the following questions. KEY TERM BANK (separa...
A: Unvariate Analysis : When the analysis of data has only one variable in such cases we use Univariate...
Q: Do you have a great deal of confidence in the advice given to you by your medical doctor? About 35% ...
A: According to the provided information, sample size (n) = 37 and the population proportion of people ...
Q: Consider the following multiple regression model : y hat = -6.72 + 0.51x1 - 0.69x2 + 1.452x...
A: The given multiple regression model is as follows:
Q: Suppose 230 subjects are treated with a drug that is used to treat pain and 54 of them developed nau...
A: Given hypothesis testNull Hypothesis : p = 0.20Alternative Hypothesis : p > 0.20The sample size n...
Q: What does it mean when two variables are described as “positively correlated”?
A: In statistical analysis to measure the relation between two bivariate data, then if the change of a ...
Q: Consider the following data on x= height of a building and y = number of stories for nine notable bu...
A: Given data of x= height of building and y = number of stories for nine notable buildings as shown be...
Q: See attachment for question.
A: Given information:Here, it is given that Xi is a random variable.The probabilities of a random varia...
Q: In a recent court case it was found that during a period of 11 years 851 people were selected for gr...
A: It is given that a particular ethnicity in the population is 40%. From that ethnicity, 80% of 851 pe...
Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). T...
A: Confidence interval when population standard deviation is not known:The formula of confidence interv...
