MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Find the p-value:

Mutual funds are classified as load or no-load funds. Load funds require an investor to pay an initial fee based on a percentage of the amount invested in the fund. The no-load funds do not
require this initial fee. Some financial advisors argue that the load mutual funds may be worth the extra fee because these funds provide a higher mean rate of return than the no-load mutual
funds. A sample of 30 load mutual funds and a sample of 30 no-load mutual funds selected for analysis are contained in the Excel Online file below. Data were collected on the annual return for
the funds over a five-year period. Construct a spreadsheet to answer the following questions.
х
Open spreadsheet
a. Formulate
Но and
H, such that rejection of
Ho leads to the conclusion that the load mutual funds have a higher mean annual return over the five-year period.
Η0: μιοad
Uno-load
Ha : Hload
Uno-load
b. Use the 60 mutual funds in the table above to conduct the hypothesis test. What is the p-value?
p-value is
(to 4 decimals)
At a =
.05, what is your conclusion?
Can conclude
that the mutual funds with a load have a greater mean rate of return.
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Transcribed Image Text:Mutual funds are classified as load or no-load funds. Load funds require an investor to pay an initial fee based on a percentage of the amount invested in the fund. The no-load funds do not require this initial fee. Some financial advisors argue that the load mutual funds may be worth the extra fee because these funds provide a higher mean rate of return than the no-load mutual funds. A sample of 30 load mutual funds and a sample of 30 no-load mutual funds selected for analysis are contained in the Excel Online file below. Data were collected on the annual return for the funds over a five-year period. Construct a spreadsheet to answer the following questions. х Open spreadsheet a. Formulate Но and H, such that rejection of Ho leads to the conclusion that the load mutual funds have a higher mean annual return over the five-year period. Η0: μιοad Uno-load Ha : Hload Uno-load b. Use the 60 mutual funds in the table above to conduct the hypothesis test. What is the p-value? p-value is (to 4 decimals) At a = .05, what is your conclusion? Can conclude that the mutual funds with a load have a greater mean rate of return.
Н
Mutual Funds - Load
Load Return
Mutual Funds - No Load
No Load Return
Part b
Formula
2
American National Growth
17.11
Amana Income Fund
11.24
T Test: Two-Sample Assuming Unequal Variances
3
Arch Small Cap Equity
15.07
Berger One Hundred
10.13
4
Bartlett Cap Basic
17.43
Columbia Intemational Stock
10.17
Load Return
11.24
Calvert World International
9.31
Dodge & Cox Balanced
14.06
Mean
16.23566667
13.78965517
6.
Colonial Fund A
17.43
Evergreen Fund
15.61
Variance
17.19126678
11.15521773
Common Sense Growth
16.34
Fidelity Fund
18.61
Observations
30
29
Hypothesized Mean Difference
Corefund Core Equity
9.
19.17
Forthis Advtg Cap App
11.38
Davis Convert Seurities
18.51
Founders Blue Chip Fund
15.15
df
55
10
t Stat
2.499439548
Deleware Small Cap
11
18.97
Goldman Core Fixed Income
8.38
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
0.007726349
Dreyfus Premium Value
12
11.65
Heartland Value
16.15
Federated Stocks & Bonds
14.81
Janus Fund
13.82
1.673033907
13
First Invest FD for Income
10.94
Manstay Cap Appriciation
15.29
0.015452698
14
2.004044732
Flag Inv Emerging Growth
15
16.09
Merrill Spec Value
14.42
Fortis Equity Capital
11.56
Mutual Beacon
17.49
16
FPA Capital
24.66
Oberweis Emerging Growth
9.06
17
Franklin STR GL UT
17.38
Paine Webber Growth & Income
11.89
Significance Level (Alpha)
0.05
18
Gabelli Value Fund
24.05
Pimco Total Return
6.43
Can we conclude that the mutual funds with
a load have a greater mean rate of return?
(Enter "Can conclude" or "Cannot
conclude").
19
IDS New Dimensions
19.68
Prudential Equity
16.29
#N/A
20
John Hancock Growth & Income
16.46
Putnam Growth & Income
15.80
21
Lord Abbett Dev Growth
23.05
Royce FD Micro-Cap
15.05
22
Merrill Basic Value
22.15
Scudder Development
10.80
23
MFS World Tot Return
12.19
Smith Barney Appreciation
13.09
24
New England Growth Opp
25
Stein Roe Capital Oppty
18.06
17.70
T Rowe Price Balanced
Oppenhmr Quest Small Cap
26
14.97
11.57
Phoenix Worldwide
14.48
Thompson Plumb Growth
16.58
27
Princor Bond
7.90
USAA Growth & Tax Strat
9.89
28
Stagecoach Disd Income
29
14.82
Vanguard Equity Income
17.00
Vanguard Windsor
Vontobel Intl Equity
United Contl Income
12.19
18.71
30
Victory OH Regional
31
17.64
11.56
Zweig SR TR Apprec
32
13.00
Weith Value
17.82
ш
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Transcribed Image Text:Н Mutual Funds - Load Load Return Mutual Funds - No Load No Load Return Part b Formula 2 American National Growth 17.11 Amana Income Fund 11.24 T Test: Two-Sample Assuming Unequal Variances 3 Arch Small Cap Equity 15.07 Berger One Hundred 10.13 4 Bartlett Cap Basic 17.43 Columbia Intemational Stock 10.17 Load Return 11.24 Calvert World International 9.31 Dodge & Cox Balanced 14.06 Mean 16.23566667 13.78965517 6. Colonial Fund A 17.43 Evergreen Fund 15.61 Variance 17.19126678 11.15521773 Common Sense Growth 16.34 Fidelity Fund 18.61 Observations 30 29 Hypothesized Mean Difference Corefund Core Equity 9. 19.17 Forthis Advtg Cap App 11.38 Davis Convert Seurities 18.51 Founders Blue Chip Fund 15.15 df 55 10 t Stat 2.499439548 Deleware Small Cap 11 18.97 Goldman Core Fixed Income 8.38 P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0.007726349 Dreyfus Premium Value 12 11.65 Heartland Value 16.15 Federated Stocks & Bonds 14.81 Janus Fund 13.82 1.673033907 13 First Invest FD for Income 10.94 Manstay Cap Appriciation 15.29 0.015452698 14 2.004044732 Flag Inv Emerging Growth 15 16.09 Merrill Spec Value 14.42 Fortis Equity Capital 11.56 Mutual Beacon 17.49 16 FPA Capital 24.66 Oberweis Emerging Growth 9.06 17 Franklin STR GL UT 17.38 Paine Webber Growth & Income 11.89 Significance Level (Alpha) 0.05 18 Gabelli Value Fund 24.05 Pimco Total Return 6.43 Can we conclude that the mutual funds with a load have a greater mean rate of return? (Enter "Can conclude" or "Cannot conclude"). 19 IDS New Dimensions 19.68 Prudential Equity 16.29 #N/A 20 John Hancock Growth & Income 16.46 Putnam Growth & Income 15.80 21 Lord Abbett Dev Growth 23.05 Royce FD Micro-Cap 15.05 22 Merrill Basic Value 22.15 Scudder Development 10.80 23 MFS World Tot Return 12.19 Smith Barney Appreciation 13.09 24 New England Growth Opp 25 Stein Roe Capital Oppty 18.06 17.70 T Rowe Price Balanced Oppenhmr Quest Small Cap 26 14.97 11.57 Phoenix Worldwide 14.48 Thompson Plumb Growth 16.58 27 Princor Bond 7.90 USAA Growth & Tax Strat 9.89 28 Stagecoach Disd Income 29 14.82 Vanguard Equity Income 17.00 Vanguard Windsor Vontobel Intl Equity United Contl Income 12.19 18.71 30 Victory OH Regional 31 17.64 11.56 Zweig SR TR Apprec 32 13.00 Weith Value 17.82 ш
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