Probability that the population variance

Reference no: EM13154813

5.A car manufacturer claims that its vehicles average at least 25 miles per gallon, with a population standard deviation of σ=4. We take a sample of n=36 cars to test fuel efficiency, and with to performance a one-sided hypothesis test of the manufacturer's claim at a level of α=.025.??
a. What is the critical value for the sample mean????
b. Suppose the answer to part a is 23 (it is not, but assume it is to do part b). If the true value of efficiency in the population is 22.75, what is the power of this hypothesis test??

6.Suppose there are two types of Penn State Sports fans: Rabid (R), and Casual (R'). These fans either view a big game Live (L) or at Home (L'). Suppose 15% of Penn State fans are both Casual and watch the games at Home. If a fan watches at Home, the probability that he/she is Casual is 80%. Finally, suppose 10% of fans are Rabid.???
a. What is the probability of any fan watching the game at Home????
b. If a fan watches the game Live, what is the probability that they are Rabid??

7.Suppose a random sample of size 21 is taken, and the variance of the sample is calculated to be 5.??
a. What is (approximately) the probability that the population variance σ² is less than 4???
b. There is a 10% chance the population variance σ² will be greater than ___.?

8.There is a wide disparity between education systems across the world. Suppose we have a dataset for 42 countries. The variable X is the average years of formal education for a person in a country, and Y is the per capita income (in thousands of dollars) in that country. We find a positive relationship between the two variables. Additionally, our regression shows the following results:??
a. According to the regression results above, what percentage of the variation in income is explained by the education level?????
b. What is the value of b1 in the regression Y=b0+b1X? (Hint: what is SSR and how is that related to b1?)????
c. Suppose the answer to part b is b1=4 (it is not, but to avoid compounding any mistakes, assume it is to answer the following). What is the value of b0?????
d. Continue to assume that b1=4. What is the 90% confidence interval for the true population slope coefficient β1?

Reference no: EM13154813

Questions Cloud

Describe the industry and explain the general pattern : Describe the industry and explain the general pattern of change of the particular market model and hypothesize the basic short-run and long-run behaviors of the model in the industry you have chosen in a "market economy."

Explain the lowest vapor pressure at room temperature : which one of the liquids would you expect to have the lowest vapor pressure at room temperature?

What happens to prices and output in the short run : the short-run equilibrium values; and vi. the long-run equilibrium values. State in words what happens to prices and output in the short run and the long run.

Conversion costs during particular month : Mahaska estimates the ending work-in process (EWIP) inventory to be 20% complete with respect to conversion costs. (Because all materials are added at the start of the process, ending WIP is 100% complete with respect to materials). Finally, Mahas..

Probability that the population variance : Suppose a random sample of size 21 is taken, and the variance of the sample is calculated to be 5.??a. What is (approximately) the probability that the population variance σ² is less than 4?

How much heat is absorbed by water : How much heat is absorbed by 15.5g of water when its temperature is increased 20.0C to 50.0C?The specific heat of water is 4.184J/(g.C)

Budgeting activity play in managerial compensation : 1-What role does the budgeting activity play in managerial compensation and performance evaluation?

Explain the mass spectrum of an organic compound shows : The mass spectrum of an organic compound shows the relative abundances of M to be 85.12% and M+1 to be 0.9206%. Assuming the peaks are caused by C-12 and C-13 isotopes

Two elementary schools in a county : Suppose there are two elementary schools in a county. One school (A) loans all its students a laptop computer for use in classes. The other (B) does not

User Account

All Pages