Comparing fractions explain how you know that 21/30 is greater than 2/3

Male cardinal birds sing to attract females. An ornithologist wants to test the claim that the true mean duration of songs sung

Inessa05 [86]

Answer:

$t=\frac{6.31-6}{\frac{1.2}{\sqrt{35}}}=1.5283$

d. 1.5283

Step-by-step explanation:

Data given and notation

$\bar X=6.31$ represent the sample mean

$s=1.2$ represent the sample standard deviation

$n=35$ sample size

$\mu_o =6$ represent the value that we want to test

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 6 seconds, the system of hypothesis are :

Null hypothesis: $\mu \leq 6$

Alternative hypothesis: $\mu > 6$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{6.31-6}{\frac{1.2}{\sqrt{35}}}=1.5283$

d. 1.5283

8 0

3 years ago

Henry says that his set of numbers includes all integers. Iliana argues that he is wrong.

Rudiy27

B. Iliana is correct because Henry included a fraction. Fractions are not integers.

5 0

3 years ago

Read 2 more answers

Determine whether each function is even, odd, or neither.

Ede4ka [16]

Answer:

a) f(x) = x² -9

function is an even function

b) g(x) = |x -3|

function is an even function

c) f(x)= x / x²-1

function is odd function

d) g(x) = x + x²

Given function is not an even not odd function

This function is neither even or odd

Step-by-step explanation:

Explanation:-

a) Given f(x) = x² -9

Even function

If f(-x) = f(x) , then the function is even function.

f(-x) = (-x)² -9

= x² -9

= f(x)

f(-x) = f(x)

∴ Given function is an even function

b)

Given g(x) = |x -3|

Even function

If g(-x) = g(x) , then the function is even function.

g(-x) = |-(x-3)|

= |x-3|

g(-x) = g(x)

∴ Given function is an even function

c)

odd function

If f(-x) =- f(x) , then the function is odd function.

f(-x) = $f(-x) = \frac{-x}{(-x)^{2}+1 } = \frac{-x}{x^{2}+1 } = - f(x)$

= -f(x)

f(-x) = -f(x)

∴ Given function is odd function

d)

If g(-x) = g(x) , then the function is even function.

g(x) = x + x²

g(-x) = -x + (-x)²

= - (x - x²)

This is not either even or odd function

∴ Given function is neither function

8 0

3 years ago

Can someone help me?It's urgent and thank you!

Svetach [21]

Answer:

575.71

Step-by-step explanation:

Year 1: 960 x .88 (100%-12%)=844.80

Year 2: 844.80 x .88 =743.424

Year 3: 743.424x.88=654.21

Year 4: 654.21 x .88=575.71

5 0

3 years ago

gordon june and sushil share some sweets in the ratio 3:5:2 gordon gets 42 sweets how many did sushil get (answer asap)

gregori [183]

Answer: 28

It’s a ratio of Gordon to Sushil to 3:2
=> 3/2 = 42/x
=> 3x = 84
=> x = 28

6 0

4 years ago