Assume that you have a sample of n 1 equals 6, with the sample mean Upper X overbar 1 equals 50, and a sample standard deviation of Upper S 1 equals 7, and you have an independent sample of n 2 equals 5 from another population with a sample mean of Upper X overbar 2 equals 38 and the sample standard deviation Upper S 2 equals 8. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that mu 1 greater than mu 2?

Since the p value is higher than the significance level given of 0.01 we don't have enough evidence to conclude that the true mean for group 1 is significantly higher thn the true mean for the group 2.

Step-by-step explanation:

Data given

represent the sample size for group 1

represent the sample size for group 2

represent the sample mean for the group 1

represent the sample mean for the group 2

represent the sample standard deviation for group 1

represent the sample standard deviation for group 2

System of hypothesis

The system of hypothesis on this case are:

Null hypothesis:

Alternative hypothesis:

We are assuming that the population variances for each group are the same

The statistic for this case is given by:

The pooled variance is:

We can find the pooled variance:

And the pooled deviation is:

The statistic is given by:

The degrees of freedom are given by:

The p value is given by:

Since the p value is higher than the significance level given of 0.01 we don't have enough evidence to conclude that the true mean for group 1 is significantly higher thn the true mean for the group 2.

the answer is 8

step-by-step explanation:

3.14 x 8x8

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .