For a random sample of Harvard University psychology majors, the responses on political ideology had a mean of 3.18 and standard deviation of 1.72 for 51 nonvegetarian students and a mean of 2.22 and standard deviation of .67 for the 20 vegetarian students. When we use software to compare the means with a significance test, we obtain the following printout. Variances T DF Prob>|T|Unequal 2.9146 41.9 0.006Interpret the P-value, in context, based on its definition.

From the test give in the question it is obvious that  there is enough evidence to show that population mean varies for vegetarian and non-vegetarian

The P-value helps affirm the null hypothesis claims,The P-value attains  values relatively as large as that which exists in the sample given,if the null hypothesis is right

Step-by-step explanation:

From the question we are told that

Sample mean

Standard deviation

Sample size

Sample mean

Standard deviation

Sample size

Generally this is a two tailed test

therefore

   Null hypothesis  =

  Alternative hypothesis

From the test give in the question it is obvious that  there is enough evidence to show that population mean varies for vegetarian and non-vegetarian

The P-value helps affirm the null hypothesis claims,The P-value attains  values relatively as large as that which exists in the sample given,if the null hypothesis is right

i'm sorry mate, but i am not seeing any figures. i am unable to solve this for you.

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.