Find a basis and the dimension of the subspace:

V = {(x₁, x₂, x₃, x₄)| 2x₁ = x₂ + x₃, x₂ − 2x₄ = 0}

How can the prediction error concept (lambda minus V) from the Rescorla-Wagner model be applied to operant conditioning?

Question 3)The final grades in Math class of 80 students at State University are recorded in the accompanying table.

A.The given data set is in ascending order. If class interval size is 3 for the constructed 14 classes, find “m”.(Note: This section is not related with section B)

B.Construct a frequency table with 8 classes and find its frequencies.

i)Find median class

ii)Sketch the ogive curves by using either the cumulative frequency or the cumulative relative frequency.

iii)Using the ogive curve find the following probabilities:

P(x<76.5)=

P(x>88.5)=

P(x>84)=

P(x<90)=

P(74<x<92)=

P(x=78)=

iv)Find interquartile range (IQR)

v)Sketch box and whisker plot.

vi)Comment on skewness.

vii)The standard deviation and mean of another math class of 49 students from Technology University is 10.3 and 88.6, respectively. Compare the Math class in State University with Math class in Technology University, which one is more consistent? In other words which Math class has less spread of values around its mean? Show your work and explain why?Note: You can find the necessary parameters for the State University either from raw data given or from the frequency table you constructed.

During spring break, students have an elasticity of demand for a trip to Florida of -3, while senior citizens have an elasticity of demand for a trip to Florida of -6. What pricing insight does this give to the airline companies?

Group of answer choices

Charge a lower price to the senior citizens because they have a relatively more elastic demand.

Charge a lower price to the students because they have a relatively more inelastic demand.

Charge a higher price to the senior citizens because they have a relatively more inelastic demand.

Charge a higher price to the students because they have a relatively more elastic demand.

An insurance company would like to test the hypothesis that a difference exists in the proportion of students in 12th grade who text while driving when compared to the proportion of 11th

grade drivers who text. A random sample of 160 12th grade students found that 84 texted while driving. A random sample of 17511th grade students found that 70 texted while driving. Assume Population 1 is defined as 12th grade drivers and Population 2 is defined as 11th grade drivers. What is the​ p-value for this hypothesis​ test?

A.

0.0220

B.

0.1610

C.

0.0418

D.

0.1850

The administration at GSU wants to estimate the number of parking spaces they will need next year. They survey 80 students; 75 of the students in the sample drive to campus by themselves each day. Which of the following is a reason the administration should not calculate a confidence interval for the proportion of all students who drive to campus? Check all that apply. The sample needs to be random but we don’t know if it is. The actual count of drivers is too small. The actual count of those who do not drive to campus is too small. n ^ p is not greater than 10. n ( 1 − ^ p ) is not greater than 10.

Full-time college students report spending a mean of 26 hours per week on academics activities, both inside and outside the class room. Assume the standard deviation of time spent on academic activities is 5 hours. If you select a random sample of 16 Full-time college students, what is the probability that the mean tie spent on academics is at least 24 hours per week? b. If you select a random sample of 16 full-time college students, there is an 87% chance that the sample mean is less than how many hours per week?

1. Is it true that the majority of North campus students text while driving? In a survey of 60 students at North Campus, 45 indicated that they often text while driving.   Using a .05 significance level, test the claim that the proportion of students at North Campus who text while driving is greater than 50%. Show all steps in the hypothesis testing procedure. Clearly enumerate the null and alternative hypotheses. Show calculation of test statistic and p-vale. Give wording of the final conclusion using figure 8-7 on page 403 of your textbook. State final conclusion.

1. Is it true that the majority of North campus students text while driving? In a survey of 60 students at North Campus, 45 indicated that they often text while driving.   Using a .05 significance level, test the claim that the proportion of students at North Campus who text while driving is greater than 50%. Show all steps in the hypothesis testing procedure. Clearly enumerate the null and alternative hypotheses. Show calculation of test statistic and p-vale. Give wording of the final conclusion using figure 8-7 on page 403 of your textbook. State final conclusion.

1. Is it true that the majority of North campus students text while driving? In a survey of 60 students at North Campus, 45 indicated that they often text while driving.   Using a .05 significance level, test the claim that the proportion of students at North Campus who text while driving is greater than 50%. Show all steps in the hypothesis testing procedure. Clearly enumerate the null and alternative hypotheses. Show calculation of test statistic and p-vale. Give wording of the final conclusion using figure 8-7 on page 403 of your textbook. State final conclusion.