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ozzi
2 years ago
7

True or False

Mathematics
1 answer:
BigorU [14]2 years ago
3 0

Answer:

1. false

2. true

3. true

4. true

5. true

6. false

Step-by-step explanation:

sub to tapl :L

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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
3 years ago
4.
Simora [160]
M >= 85. The >= sign means greater than or equal to.
8 0
2 years ago
Write an equation of the line that has a slope of 2 and y-intercept 1 in slope-intercept form.
Vlada [557]
Y = mx + b

in this case m = 2 and b = 1 so
equation
y =2x + 1

hope this helps
4 0
3 years ago
Read 2 more answers
2x -y +z = 7<br> 2x + 4y - 2z = 0<br> x-y + 3z = 2
djyliett [7]
The first one y = 2/3
8 0
3 years ago
Read 2 more answers
Jake is choosing between 2 cell phone plans. Plan A costs $15 per month plus $0.08 per minute. Plan B costs $35 per month for un
Alex73 [517]

Answer:

The system of equations is

y=0.08x+16

y=35

Step-by-step explanation:

Let

x ----> the number of minutes of calling time

y ----> the monthly cost of the calling plan

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

In this problem

Plan A

m=0.08\\b=16

substitute

y=0.08x+16 ----> equation A

Plan B

m=0\\b=35

substitute

y=35 ----> equation B

therefore

The system of equations is

y=0.08x+16

y=35

5 0
3 years ago
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