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viva [34]
3 years ago
12

Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 3​%

. a​ mutual-fund rating agency randomly selects 27 months and determines the rate of return for a certain fund. the standard deviation of the rate of return is computed to be 2.19​%. is there sufficient evidence to conclude that the fund has moderate risk at the alpha equals 0.05 level of​ significance? a normal probability plot indicates that the monthly rates of return are normally distributed.
Business
1 answer:
marusya05 [52]3 years ago
8 0

Answer:

There is sufficient evidence to conclude that the fund has moderate risk at the 0.05 level of significance

Explanation:

Given:

Sample size = 27months

n = 27

Let sigma = population standard deviation

Sigma = 3% = 0.03

s = sample standard deviation

s =2.19% = 0.0219

Alpha = 0.05

The mutual fund manager claims that his fund has moderate risk.

Hypothesis:

H0: Population standard deviation is equal to sample standard deviation.

H0 = sigma = 0.03

H1: Population standard deviation is not equal to sample standard deviation.

Alternative hypothesis:

H0< sigma = H0 <0.03

Degree of freedom = n-1 = 27-1 = 26

We would use the chi-square test to check if the standard deviation of a population is equal to a particular value

The test statistic:

x^2 = [(n-1)s^2]/ sigma^2

x^2 = [(27-1)*0.0219^2]/0.03^2

x^2 = [(26)*0.00047961]/0.03^2

x^2 = (0.01246986/0.03^2)

x^2 = 0.01246986/ 0.0009

x^2 = 13.8554

You can compare the value of your x^2 to a (degrees of freedom, alpha) chi squared critical value from a table (you can find such table online) or use an EXCEL formula

Using EXCEL formula to find p-value:

CHISQ.DIST(13.8554, 26, TRUE)

Type in the value of chi square as x,

Degree of freedom as = 26 and

TRUE (cumulative distribution function)

p-value = 0.025143

The level of significance = Alpha = 0.05

The decision rule states:

If p-value is less than or equal to level of significance, reject the null hypothesis.

Otherwise, do not reject the null hypothesis.

Since p-value is less than level of significance, we would reject the null hypothesis.

0.025143 < 0.05

Conclusion:

There is sufficient evidence to conclude that the fund has moderate risk at the 0.05 level of significance.

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Beasley Company currently sells its products for​ $30 per unit. Management is contemplating a​ 10% increase in the selling price
Ray Of Light [21]

Answer:

Explanation:

Selling price per unit (next year) = 30 + 10 % of 30 = $33

Variable cost per unit (next year) = 30 * 40 % = $12

Contribution per unit (next year) = Selling price per unit (next year) - Variable cost per unit (next year) = 33 - 12  = $21

Fixed expenses = $68,250

Break even point (in units) = Fixed expenses / Contribution per unit.

Break even point (in units) = 68,250 / 21 = $3,250

7 0
2 years ago
Colliers, Incorporated, has 100,000 shares of cumulative preferred stock outstanding. The preferred stock pays dividends in the
VladimirAG [237]

a. The amount that will go to the preferred stockholders is $400,000.

b. The amount of the declared dividend that will be available for common stock dividends is $200,000 ($600,000 - $400,000).

Data and Calculations:

Cumulative Preferred Stock Outstanding = 100,000 shares

Dividends per share = $2

Cumulative Preferred Dividend last year = $200,000 (100,000 x $2)

Preferred Dividend this year = $200,000 (100,000 x $2)

Total preferred dividend to be paid this year = $400,000

Thus, the Preferred Stockholders will be paid $400,000 ($200,000 for last year and $200,000 for this year).

Learn more: brainly.com/question/24297088

6 0
2 years ago
Blake and Matthew are partners who agree that Blake will receive a $103,000 salary allowance and that any remaining income or lo
Sedaia [141]

Answer:

total net income = $109,000

Explanation:

given data

Blake receive = $103,000

Matthew capital account is credited = $3,000

solution

we know that both partner get equal part in  remaining loss or income

so here Blake get $3,000 as share of the net income

so that here net income for the period, that will Blake's salary allowance +  amount shared in both persons of net income

as that

total net income = $103,000 + $3,000 +$3,000

total net income = $109,000

7 0
2 years ago
Explain why the offer price is used to calculate the investment in a load mutual fund instead of the net asset value.
tatuchka [14]
When purchasing load mutual funds, you are charged a fee, or commission, which is added to the fund's net asset value.
6 0
3 years ago
Read 2 more answers
If you put $700 in a savings account with a 10% nominal rate of interest compounded monthly, what will the investment be worth i
aksik [14]
<span>To find the compound interest of an investment you have to use this formula, A = P(1 + r/n)^nt, where A is the total amount you have after the investment period, P is the amount you invest or the amount you put in, r is the rate of the of the compound interest in this case 10%, n is the amount of time the interest will be compounded for example, 4 months a year(quarterly) or 6 months a year(semi annually), and t is the amount of time you invest in years. So in this case you are going to substitute everything in the formula with their given value. So P = $700, r = 10%, n = 21 (because it is the number of months we invest for), and t = 2 years (because 21 months fit perfectly in 2 years, and t must always be in years). The resulting formula will be A = $700(1 + 0.1/21)^(21 x 2), which will give you an answer of $855 rounded to the nearest dollar.</span>
8 0
3 years ago
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