What expression represents x less than 5 times y

A zoologist is studying four very closely related feline species. She wishes to compare their gestation periods. An observationa

diamong [38]

Answer:

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different, NOT to conclude that the all the means are different.

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

Solution to the problem

The hypothesis for this case are:

Null hypothesis: $\mu_{A}=\mu_{B}=\mu_{C}= \mu_D$

Alternative hypothesis: Not all the means are equal $\mu_{i}\neq \mu_{j}, i,j=A,B,C,D$

In order to find the mean square between treatments (MSTR), we need to find first the sum of squares and the degrees of freedom.

If we assume that we have $p=4$ groups and on each group from $j=1,\dots,p$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}$

And in order to test this hypothesis we need to ue an F statistic and for this case the p value calculated is

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different NOT to conclude that the all the means are different.

8 0

4 years ago

Which best describes the strength of a model with an r value of 0:29?

Stells [14]

The correct answer is C

3 0

3 years ago

in the table are shown the number of hours. Wendy works an amount of pay she receives. Dose this table show direct variation? if

ankoles [38]

Yes, it does because all of those can be multiplied by 9. So, H*9=P. And It means for every hour of work she gets paid 9 dollars. Or 9 dollars an hour.

5 0

3 years ago

PLZZZ HELLP 3+7 − 1/2 is an example of

notsponge [240]

Answer:

C. a numerical expression.

Step-by-step explanation:

Right away, what you should know is that this is an expression. Equations are expressions, except wiht an equal sign. This is not algabraeic though, since there is no valuable (for example 3x, or 7a). So, through the process of elimination, the answer would be a numerical expression.

Hope this helps!

4 0

3 years ago

Solve this equation: –9h – 6 + 12h + 40 = 22.

olga_2 [115]

Let's solve your equation step-by-step.−9h−6+12h+40=22Step 1: Simplify both sides of the equation.−9h−6+12h+40=22Simplify: (Show steps)3h+34=22Step 2: Subtract 34 from both sides.3h+34−34=22−343h=−12Step 3: Divide both sides by 3.3h3=−123h=−4Answer:h=−4

6 0

3 years ago

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