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DiKsa [7]
3 years ago
7

Which of the following illustrates the truth value of the given statements? Dogs have four legs, and cats have ten lives. T T →

T F T → F F F → F T F → F
Mathematics
2 answers:
kupik [55]3 years ago
6 0

Solution:

Dogs have four Legs = T

Cats have ten Lives = F

So, Dogs have four legs, and cats have ten lives  = T and F

⇒T and F →→F

So, Option (D) T F → F,

is correct truth value of the Statement that Dogs have four legs, and cats have ten lives.

katovenus [111]3 years ago
5 0

The answer would be T F -> F for dogs have four legs, and cats have ten lives. Have a great day!

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Answer:

t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

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If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

Step-by-step explanation:

Data given and notation  

\bar X=25.02 represent the sample mean

s=4.83 represent the sample standard deviation

n=50 sample size  

\mu_o =26 represent the value that we want to test

\alpha represent the significance level for the hypothesis 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 at least 26 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \geq 26  

Alternative hypothesis:\mu < 26  

If we analyze the size for the sample is > 30 but we don't know the population deviation so 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{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=50-1=49  

Since is a one sided test the p value would be:  

p_v =P(t_{(49)}  

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