Discuss the below:
Probahility & Sampling Distribution: Mutual Funds
Q1) BusinessWeek published information on 283 equity mutual funds (BusinessWeek, January 26, 2004). A sample of 40 of those funds is contained in the data set MutualFund. Use the data set to response the following questions.
a. Develop a point estimate of the proportion of the BusinessWeek equity funds that are load funds.
b. Develop a point estimate of the proportion of funds that are classified as high risk.
c. Develop a point estimate of the proportion of funds that have a below-average risk rating. (Excel File attached)
Q2) The price of a particular brand of jeans has a mean of $37.99 and a standard deviation of $7. A sample of 49 pairs of jeans is selected.
Use Excel to answer the following questions.
a.What is the probability that the sample of jeans will have a mean price less than $40?
b.What is the probability that the sample of jeans will have a mean price between $38 and $39?
c.What is the probability that the sample of jeans will have a mean price within $3 of the population mean?
| FUND |
Load/No Load |
Risk Level |
| AIM Opportunities II A |
Load |
Average |
| Alpine U.S. Real Est. Equity Y |
No load |
Average |
| Am. Century Value Inv. |
No load |
Low |
| Atalanta/Sosnoff |
No load |
Average |
| Bjurman Micro Cap Growth |
No load |
Average |
| Brazos Micro Cap Y |
No load |
High |
| Bruce |
No load |
Low |
| CNI Charter RCB Small Cap. Value |
Load |
Low |
| Clipper |
No load |
Very low |
| Columbia Acorn Z |
No load |
Low |
| Delaware Emerging Markets A |
Load |
Average |
| Dreyfus Premier Emerging Mkts A |
Load |
Average |
| Eaton Vance Emerging Mkts A |
Load |
Average |
| Evergreen Precious Metals Hlds. A |
Load |
High |
| Exeter Tax Managed A |
No load |
Low |
| Federated Capital Appreciation A |
Load |
Average |
| First Eagle Overseas A |
Load |
Very low |
| Fremont U.S. Micro Cap |
No load |
High |
| Goddman Sachs Small Cap Value |
Load |
Low |
| Growth Fund of America A |
Load |
Average |
| Hotchkis & Wiley Mid Cap Value I |
Load |
Low |
| Icon Energy |
No load |
Average |
| Invesco Energy Inv. |
No load |
Average |
| Janus Advisor Growth & Income I |
No load |
Average |
| Mutual Discovery Z |
No load |
Very low |
| Nuveen NWQ Multi Cap Value R |
No load |
Low |
| Oppenheimer Developing Markets A |
Load |
Average |
| Phoenix-Duff & Phelps Real Est. Sec. A |
Load |
Very low |
| T. Rowe Price Capital Appreciation |
No load |
Very low |
| Prudent Bear |
No load |
High |
| RS Global Natural Resources |
No load |
Low |
| Security Mid Cap Value A |
Load |
Low |
| Smith Barney Security & Growth A |
Load |
Very low |
| Strong Large Company Growth Inv. |
No load |
Average |
| TCW Galileo Opportunity N |
Load |
Low |
| Thompson Plumb Balanced |
No load |
Low |
| Touchstone Emerging Growth A |
Load |
Average |
| U.S. Global Accolade Eastern European |
No load |
Average |
| USAA Precious Metals & Minerals |
No load |
High |
| Van Eck International Investors Gold A |
Load |
High |