In order to test the city efficiency of the 10 Toyota Prius vehicles, the following data were collected (in mpg units):

a) Compute a sample mean and a sample standard deviation for data collected.

b) Suppose that the data set in part a) is used to determine that the Toyota hybrid is more efficient than a Honda hybrid. For a random sample of 12 Honda hybrid vehicles the average consumption was estimated 47.6 mpg with the sample standard deviation s of 0.3 mpg. Use α = 0.05

I. List data assumptions.

II. State H0 and Ha.

III. Calculate the test statistic.

IV. Make decision using the p-value approach.

V. Draw conclusion.

c) Compute 95% confidence interval for the difference in mean mpgs between a Toyota hybrid and a Honda hybrid.

The position of a particle moving along the x-axis is given by x(t) = t^3 + 9t^2 − 21t with t is in [0, 2]. (a) Find the velocity and acceleration of the particle.

(b) For what t-values is the velocity 0? (Enter your answers as a comma-separated list.)

(c) When is the particle moving to the left (velocity is negative)? (Enter your answer using interval notation.)

When is the particle moving to the right (velocity is positive)? (Enter your answer using interval notation.) (

d) What is the farthest the particle gets to the left? What is the farthest the particle gets to the right?

(e) When is the velocity increasing? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) When is the velocity decreasing? (Enter your answer using interval notation. If an answer does not exist, enter DNE.)

(f) What is the maximum velocity of the particle? v =

Write your response in the text box. If graph is required, attach image or scan of your graph using the "v" like icon in the text response box, or use the embed image icon to attach your photo/scan of your graph. Answer each prompt in one paragraph/bullet format (where asked to "list")

QUESTION: Prescription drug prices in the United States are often substantially higher than in Canada, the United Kingdom and in India. Today, pharmacies in these countries fill millions of low-cost prescriptions through the mail to U.S. citizens. Given that the pharmaceutical industry cannot prevent the resale of these drugs,

A) are the industry’s effort to price-discriminate useless? Explain your answer

B) GRAPH the condition(s) of price-discrimination in this market structure. Remember to label curves and attach your graph to this response box or use the prompts below to attach your graph - submit graph

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 3.1, 2.6, 2.9, 4.2, 3.9, 1.9, 0.6, 2.4, 0.8, 2.7, 4.3, 3.7, 2.1 What can be concluded at the α α = 0.05 level of significance? a.For this study, we should use Select an answer z-test for a population proportion t-test for a population mean b.The null and alternative hypotheses would be: H0: H0: ? p μ ? ≠ < = > H1: H1: ? μ p ? ≠ > < = c.The test statistic ? t z = (please show your answer to 3 decimal places.) d.The p-value = (Please show your answer to 4 decimal places.) e.The p-value is ? ≤ > α α f.Based on this, we should Select an answer fail to reject reject accept the null hypothesis. g.Thus, the final conclusion is that ... The data suggest the population mean is not significantly more than 2 at α α = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is equal to 2. The data suggest that the population mean study time per unit for statistics students is not significantly more than 2 at α α = 0.05, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the populaton mean is significantly more than 2 at α α = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is more than 2. h.Interpret the p-value in the context of the study. There is a 2.53303373% chance that the population mean study time per unit for statistics students is greater than 2. There is a 2.53303373% chance of a Type I error. If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students then there would be a 2.53303373% chance that the population mean study time per unit for statistics students would be greater than 2. If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students then there would be a 2.53303373% chance that the sample mean for these 13 statistics students would be greater than 2.71. i.Interpret the level of significance in the context of the study. There is a 5% chance that the population mean study time per unit for statistics students is more than 2. There is a 5% chance that students just don't study at all so there is no point to this survey. If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is more than 2. If the population mean study time per unit for statistics students is more than 2 and if you survey another 13 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is equal to 2.

A random sample with 150 students has 45 female students. Estimate the population proportion of female students at the 99% level of confidence.

a. Find the right boundary of the estimation?

b. Find the margin of error.

A research found that 45% of Wawasan College’s students used mobile phone. If a sample of 200 students is selected at random, find the probability of the proportion of students used a mobile phone are less than 80?

A survey sent to 483 university students found 597 of these students admitted to texting during class. Construct a 99% confidence interval for the proportion of all university students who text during class.

Suppose that at a large university 30% of students are involved in intramural sports. If we randomly select 12 students from this university, what is the probability that no more than 4 of these students are involved in intramural sports?

8. Elena just got engaged to be married. She posts a message about the engagement on Facebook. Three of her friends, Alicia, Barbara, and Charlene, will click “like" on her post. Use X, Y, and Z (respectively) to denote the waiting times until Alicia, Barbara, and Charlene click “like" on this post, and assume that these three random variables are independent. Assume each of the random variables is an Exponential random variable that has an average of 2 minutes.

8a. Find P(X<1).

8b. Use your answer to 8a to find the probability that all 3 friends “like" the post within 1 minute.

8c. Use your answer to 8a to find the probability that none of the 3 friends “like" the post within 1 minute.

8d. Use your answer to 8a to find the probability that exactly 1 of the 3 friends “likes" the post within 1 minute.

8e. Use your answer to 8a to find the probability that exactly 2 of the 3 friends “like" the post within 1 minute.

8f. Let V denote the number of friends (among these 3) who “like" the post within 1 minute. Then V is a discrete random variable. What kind of random variable is V? [Hint: In 8b, we have P(V=3); in 8c, we have P(V=0); in 8d, we have P(V=1); in 8e, we have P(V=2). Your answers in 8b, 8c, 8d, 8e should sum to 1.]

a.Bernoulli random variable

b.Binomial random variable

c.Geometric random variable

d.Poisson random variable

(i) Consider a CMOS inverter supplied at V_DD= 5V with transistor parameters of K_N=K_P=50µA/V² and V_TN=-V_TP=1V. Then consider another CMOS inverter supplied at V_DD= 10V with the same transistor parameters. Draw the VTC of both inverters showing all regions of operation and the middle voltage VM. Verify your results using PSpice.

            (ii) Draw the square root of the CMOS inverter current versus the input voltage for the two CMOS inverters in given in part (i) biased at either V_DD=5 V or V_DD=10 V. Determine the peak current of the CMOS inverter at V_DD=5 V & V_DD=10 V. Verify your results using PSpice.

(iii) Consider NMOS inverter supplied at V_DD= 5V with transistor parameters of K_Driver=10 K_Load=100µA/V² and V_T =0.7V. Calculate the power dissipated for the following input conditions: Vin= 0.25 V and Vin=4.3 V.

(iv) If two NOR gates based on the CMOS inverter given in part (i) which supplied at V_DD= 5V are connected to realize an SR Flip Flop. Sketch the NOR gate and sketch the complete circuit of the SR Flip Flop indicating the S and R inputs a well as the Q output. What are the logic”0” and logic “1” levels of this Flip Flop?

(v) If two NOR gates based on the NMOS inverter given in part (iii) are connected to realize an SR Flip Flop. Sketch the NOR gate and sketch the complete circuit of the SR Flip Flop indicating the S and R inputs a well as the Q output. What are the logic”0” and logic “1” levels of this Flip Flop?