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3 years ago

In interval estimation, the t distribution is applicable only when

Mathematics

1 answer:

almond37 [142]3 years ago

7 0

Answer:

b. the sample standard deviation is used to estimate the population standard deviation.

Correct since that's the best approximation in order to use the t distribution to estimate the mean

Step-by-step explanation:

For this problem let's analyze the possible options:

a. the population has a mean of less than 30.

False since the mean can be any value and not makes sense

b. the sample standard deviation is used to estimate the population standard deviation.

Correct since that's the best approximation in order to use the t distribution to estimate the mean

c. the variance of the population is known.

False if the variance is know we can use the z distribution for the confidence interval and is not neccessary the t distribution

d. the mean of the population is unknown.

False we create the confidence interval since we don't know the true mean beacuse if we know the mean we don't need to create an interval

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IgorLugansk [536]

Answer: The answers are in the steps.

Step-by-step explanation:

A) 4 $\frac{1}{2}$ = 9/2 * 13 = 117/2

B ) 13 ( 58 + 1/2)

= 754 + 6.5

= 760.5

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3 years ago

19. Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withdrawals. What will Heather’s

denis-greek [22]

Answer:

$\$5,828.28$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=5\ years\\ P=\$4,900\\ r=0.035\\n=2$

substitute in the formula above

$A=\$4,900(1+\frac{0.035}{2})^{2*5}$

$A=\$4,900(1.0175)^{10}=\$5,828.28$

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3 years ago

(g + a)2<br> g = -5 and a = 25 <br> Evaluate expression:

agasfer [191]

-5+25 is (20) and it’s in the parenthesis so it’s still connected by multiplication. your answer is 40.

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3 years ago

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A crane is lowering a concrete block from a height of 270 feet above the ground at a constant rate of 2.5 feet per second. Which

iogann1982 [59]

The function would be h = 270 - 2.5s, where h is the height (in feet) and s it the time (in seconds) that has passed.

The 270 represents the initial value, which is given. We are told that the initial height of the block is 270 feet.

2.5s represents the feet that it has descended. We know the block is lowered at a rate of 2.5 feet per second. Multiplying this by s, the time, will give us how much it has descended.

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3 years ago

The base of a square fountain has an area of 144 ft2. What length of fence is needed to create a border for the fountain?

PtichkaEL [24]

Answer:

Step-by-step explanation:

Area of a square = length of side squared

square root of 144 is 12

four equal sides in a square

12 * 4 = 48

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3 years ago

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