Colonial Funds claims to have a bond fund which has maintained a mean share price of $14.00. They claim that the variance of the share price is 0.18. To test this claim, the investor randomly selects 12 days during the last year. He finds an average share price of $13.80 with a standard deviation of 0.3905. Can the investor conclude that the share price of the bond fund varies from Colonial Funds claims at a = 0.05? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. Answer Ho H₂ || m Tables Keypad Keyboard Shortcuts

Suppose that replacement times for washing machines are normally distributed with a mean of 8.3 years and a standard deviation of 1.3 years. Find the replacement time that separates the top 18% from the bottom 82%. Round to the nearest tenth. Click to view page 1 of the table. Click to view page 2 of the table, O A. 8.5 years O B. 9.5 years OC. 8.9 years O D. 7.1 years Click to select your answer. tv MacBook Air 4) F7 80 D00 F4 ES esc FI * & # $ % 9 @ 6 7 8 2 3 4 P W E R

The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 4%. The bank will make 2400 loans that are under $10,000 next month. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of defaults on the 2400 loans under $10,000 to be made next month. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 2 0.03), which is the probability that 3% or more of next month's loans under $10,000 will be defaulted on. Round your answer to four decimal places.

An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150.  What would be the variance?

Andrew plans to retire in 40 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the entire 20th century, the real (that is, adjusted for inflation) annual returns on U.S. common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal. What is the probability (assuming that past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 10%? What is the probability that the mean return will be less than 5%?

The shape of the distribution of the time required to get an oil change at a 15​-minute oil-change facility is unknown.​ However, records indicate that the mean time is 16.2 minutes​, and the standard deviation is 4.9 minutes. Complete parts ​(a) through ​(c). ​(c) Suppose the manager agrees to pay each employee a​ $50 bonus if they meet a certain goal. On a typical​ Saturday, the​ oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random​ sample, there would be a​ 10% chance of the mean​ oil-change time being at or below what​ value? This will be the goal established by the manager.   There is a​ 10% chance of being at or below a mean​ oil-change time of _______ minutes? ​(Round to one decimal place as​ needed.)

If you get a sneak peak at the salary list of your job and realize you are in the lowest bracket, which is the lowest 1%, what is your salary if you know that the mean salary is $48,000 and it has a standard deviation of $5500?

A ride-sharing company has computed its mean fare to be $34.00, with a standard deviation of $5.20. Suppose that the fares are normally distributed. Complete the following statements. (a) Approximately 99.7% of the company's rides have fares between $ and $0. (b) Approximately ? of the company's rides have fares between $28.80 and $39.20.

1.Answer the following questions: A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries at these stores with a standard deviation of $22. Assume that the expenses incurred on groceries by all such customers at these stores are normally distributed. What percentage of customers paying by check spend between $59.94 and $114.06 on groceries? Round your answer to two decimal places. % of customers paying by check spend between $59.94 and $114.06 on groceries. At Jen and Perry Ice Cream Company, the machine that fills 1-pound cartons of Top Flavor ice cream is set to dispense 16 ounces of ice cream into every carton. However, some cartons contain slightly less than and some contain slightly more than 16 ounces of ice cream. The amounts of ice cream in all such cartons have a normal distribution with a mean of 16 ounces and a standard deviation of 0.41 ounces. Find the probability that a randomly…

5. The changes in the values of two investment portfolios are modelled as Normal distributions. From day to day, the first investment portfolio changes in value with mean 2.6% and standard deviation 1.8%. From day to day, the second investment portfolio changes in value with mean 2.2% and standard deviation 2.5%. An investor is hoping for growth of at least 4%. Which portfolio is most likely to give growth of 4%?