1. False
In this scenario, through the result it is established that the mean GPA of graduate students who have taken up honors program is 4.4, i.e. more than the mean GPA of 4.3 required. This establishes the fact that the students who enroll for honors program have higher GPA than the students who do not enroll for honors program, which also establishes that the students who enroll for honors program are more intelligent than other students.
2. True
The alternative hypothesis in this scenario typically agrees with the status quo that the students who do not study harder do not make better grades. This is proven through the results carried out as well.
A university is interested in promoting graduates of its honors program by establishing that the mean...
A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 4.3. A sample of 44 honors students is taken and is found to have a mean GPA equal to 4.4. The population standard deviation is assumed to equal 0.40. The parameter to be tested is O the mean GPA of 4.4 for the 44 selected honors students the mean GPA of all university students the proportion of honors students...
A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 3.50. A sample of 36 honors students is taken and is found to have a mean GPA equal to 3.4. The population standard deviation is assumed to equal 0.40. a. Construct the hypotheses H0 and HA b. What is the p-value if a =0.05? c. At the 5% significance level, does the university reject the null hypothesis?
A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 3.50. A sample of 36 honors students is taken and is found to have a mean GPA equal to 3.60. The population standard deviation is assumed to equal 0.40. To establish whether the mean GPA exceeds 3.50, the appropriate hypotheses are Multiple Choice HoX3.50, HA : X < 3.50 Ho : μ>3.50, HA : μ < 3.50 Ho :...
A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.20. In a sample of 200 graduates, 30 students have a GPA of 3.00 or below. In testing the university's belief, the appropriate hypotheses are Multiple Choice H. :p -0.15, HP 0.15 O H.:P <0.20, HAP >0.20 O Ha :P> 0.15, HP< 0.16 O HP 20.20, HAP<0.20