(Test on a Mean, Sigma Unknown): A random sample of 12
first-year university students enrolled in MATH 1051H was drawn. At
the course's completion, each student was asked how many hours he
or she spent doing homework in statistics. The data are listed
below.
(28, 36, 38, 37, 32,36), (31, 31, 40, 40, 41, 36)
You estimate that the population standard deviation is 7. The
instructor has recommended that students devote 3 hours per week
for the duration of the 12-week semester, for a total of 36 hours.
Test to determine whether there is evidence at the 0.01
significance level that the average student spent less than the
recommended amount of time. Write a complete hypothesis test
solution?
using R Studio, please
R code:
x=c(28, 36, 38, 37, 32,36,31, 31, 40, 40, 41, 36)
popsd=7
mu=36 #hypothesized value
z_score <- round((mean(x)-mu)/(popsd/sqrt(length(x))),3)
p_value <- round(pnorm(z_score),3)
z_score #test statistic
p_value #p-value
Output:
> z_score #test statistic
[1] -0.247
> p_value #p-value
[1] 0.402
Since p-value>0.01, so we reject H_{0} at 1% level of significance and conclude that there is insufficient evidence to conclude that the average student spent less than the recommended amount of time.
(Test on a Mean, Sigma Unknown): A random sample of 12 first-year university students enrolled in...
4. A random sample of 12 second-year university students enrolled in a business statistics course was drawn. At the course's completion, each student was asked how many hours he or she spent doing homework in statistics. The data are listed below. It is known that the population standard deviation is o= 8.0. The instructor has recommended that students devote 3 hours per week for the duration of the 12-week semester, for a total of 36 hours. At 10% significance level...
A random sample of 12 second-year university students enrolled in a business statistics course was drawn. At the course's completion, each student was asked how many hours he or she spent doing homework in statistics. The data are listed below. 40, 34, 41, 29, 29, 37, 30, 41, 31, 37, 31, 40, 40, 41, 29, 30, 31, 31, 34, 29, 37, 41, 37, 40 It is known that the population standard deviation is 8. The instructor has recommended that students...
(4 points) A random sample of 12 second-year university students enrolled in a business statistics course was drawn. At the course's completion, each student was asked how many hours he or she spent doing homework in statistics. The data are listed below. 51 64 63 54 63 52 63 57 55 65 59 58 It is known that the population standard deviation is 7. The instructor has recommended that students devote 5 hours per week for the duration of the...
conducted to determine success rates of students enrolled in the Statistics courses offered at South Plains College for the fall semester of 2015. A random sample of 14 students was taken, and we recorded each student's age, final average, gender, # hours worked per week, race, and t attended this semester). Use the results from the following table to answer all parts of #2. he attendance record (# of classes not Age 20 18 19 Final Average Gender # Hrs...
Please answer the marked questions.......... Please show your work............. that all young adult men is greater the IC than 50 min d the 65 74 66 37 45 68 64 50 48 65 58 55 52 63 59 57 74 65 the 11.38 1138 The club professional at a difficul that his course is so tough that t course boasts average golfer loses a dozen or more golf balls d ng a round of golf. A dubious golfer sets out...
Question 2 (15 marks in total] University students are expected to attend all classes within a course. But university administrators and teaching staff are aware that student attendance can be adversely impacted by a variety of factors including travel time. Also, when attendance rates drop, there are often concerns expressed that it is students most at risk of performing poorly who are not attending class. To better understand some of these issues, a sample of undergraduate students was drawn from...
Budgeting for an Academic Department at a State University: Can You Believe the Numbers? INTRODUCTION You are the senior accounting faculty member in the business school and your dean, Dean Weller, is asking for help. She is very discouraged after a midyear budget meeting with the Vice President of Finance. The college's Department of Social Work has a large budget deficit, and because of this the VP is inclined towards closing the department entirely or closing its bachelor's program. The...
Actions that damage a company and its employees should be stamped out, everyone would agree. But should the people responsible be stamped out, too? HBR CASE STUDY The Reign of Zero Tolerance by Ben Gerson "Mr. Pemberton?" manager. The guards had radioed her that the "Yes, that's me," Simon replied distractedly, his back turned. target wasn't putting up much resistance. "Your personal belongings will be messen The two burly gentlemen who had suddenly gered to your home later today," Sallie...