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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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Spencer Tools would like to offer a special product to its best customers. However, the firm wants to limit its maximum potentia
pochemuha

Answer:

b. 3,249 units

Explanation:

Step 1. Given information.

Fix costs are 32.000

Depreciation expense 9.700

Contribution margin 9.85

Step 2. Formulas needed to solve the exercise.

Break even point = Fixed cost / contribution per unit

Step 3. Calculation.

Break even point= $32.000/$9.85= 3,248.73 rounded to 3,249

Step 4. Solution.

3.249 units is the minimum number of units to ensure its potential loss does not exceed the desired level

Option B is correct i.e. 3.249 units

6 0
3 years ago
Kay Company budgets overhead cost of $4,104,000 for the next year. The company uses direct labor hours as its overhead allocatio
Kobotan [32]

Based on the fact that Kay Company will use direct labor hours as its overhead allocation base, the overhead for a product with 5 labor hours is $228.

<h3>What is the overhead assigned to the product?</h3>

This can be found as:

= Total overhead cost / Number of labor hours x Product labor hours

Solving gives:

= 4,104,000 / 90,000 x 5

= 45.6 x 5

= $228

Find out more on assigning overhead costs at brainly.com/question/22812280.

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3 0
2 years ago
Harvey Automobiles uses a standard part in the manufacture of several of its trucks. The cost of producing 60,000 parts is $160,
Bas_tet [7]

Answer:

$55,000

Explanation:

The computation of the change in operating income is shown below:

= Buying cost - making cost

where,

Buying cost = Cost of producing parts × outside supplier per unit

                    = 60,000 parts × $3

                    = $180,000

And, the making cost would be

= Variable cost + fixed cost × given percentage

= $110,000 + $50,000 × 30%

= $110,000 + $15,000

= $125,000

So, the operating income would be

= $180,000 - $125,000

= $55,000

3 0
3 years ago
If an investor purchases $1,000 face amount of an 8orporate bond at 93, and the bond is scheduled to mature in 2028, what will t
Nastasia [14]

The amount to be paid on maturity is $100,440

Given that;

Purchase value of 8% corporate bond at 93 = $1,000

Find:

The amount to be paid on maturity

Computation:

Interest amount = Face value of bond × Price × Interest

Interest amount = $1,000 × 93 × 8%

Interest amount = $7,440

The amount to be paid on maturity =  $7,440 + $93,000  

The amount to be paid on maturity = $100,440

In finance, maturity or maturity date is the final payment due date of a loan or other financial instrument such as a bond or term deposit upon which principal (and remaining interest) is paid.

Maturity is the date on which the life of a trade or financial instrument ends, after which it must be renewed or cease to exist. The life of a bond is the period during which its holder receives interest payments on their investment. When the bond matures, the holder will be refunded the face value. The maturity may change if the bond has a put or call option.

Learn more about Maturity here: brainly.com/question/9099365

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7 0
2 years ago
Basecamp is based in Chicago, Illinois. According to the laws of the state of Illinois, employers and employees have the right t
Svetach [21]

If the laws that are existent in the state of Chicago gives the right to end an employment relationship at any time, then Basecamp is headquartered at  an employment at will state.

<h3>What is  an employment at will state?</h3>

This is a term that is used to refer to the states where people can terminate contracts at any time that they want.

The employer can decide to terminate that of the worker when he wants to. The worker on the other hand may decide to call it quits whenever they want to. The only reason that this cannot stand is illegality.

Read more on employment here:

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4 0
2 years ago
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