Some psychologists studied the bullying behaviour by...

Some psychologists studied the bullying behaviour by elementary school-aged children as it occurred during school recess. They found that Multiple Choice the observations made during the research permitted causal conclusions about bullying behaviour the research methods did not influence the children's behaviours the schoolmates were frequently present during bullying episodes but rarely intervened

Transcript

00:01 Hey guys in this question we have been given that the sample mean sample mean x x1 bar equals to 40 .1 and the sample is standard sample one is standard deviation s1 equals to 10 .1 and sample one size n1 equals to 23 and for sample 2 mean is mean x2 bar is given 46 .8 and standard deviation s2 is given 1 .11 .6 and sample 2 size n2 is given 28.

00:37 So as population population variants are not equal we can assume there are these are the independent samples not degree of freedom for dependent sample is so the formula for degree of freedom is equal to s1 squared by n1 plus s2 square divided by n2 and this is whole square and this whole divided by s1 squared by n1 whole square divided by n1 minus 1 plus h2 squared divided by n2 whole square divided by n 2 2 minus 1 so after putting all this value so the degree of freedom will be 49 and so step 1 will be the null hypothesis s not is null hypothesis null hypothesis null hypothesis mu 1 minus mu 2 equals to 0 and alternate hypothesis h1 so this is h0 and h1 h a alternative higher processes is mu1 minus me 2 is not equal to 0 mu 1 minus mu 2 is not equals to 0 so this is even equal to mu and minus me 2 equals to 0 so this is two tail test so we can say that we will use sample t statistics so the formula for sample t statistics will be t test t test equals to x1 bar minus x2 bar minus nu 1 minus new 2 divided by under root s1 bar divided by n1 plus s2 bar divided by n2 so this is going to be after putting all these values so this is the t test so let me just write that t test t test is going to be minus 2 .20 this is our test statistics and p value so the p value is, so p value is, we can find out p value.

02:51 So p value is given by p of probability of t is less than minus 2 .20 and this is going to be 0 .0324.

03:04 So using t table or t dish, we can find out.

03:09 So the significance level alpha is, so this is 3 to 4.

03:14 So let me write that.

03:16 So significance level alpha equals rule is always 0 .05...

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