Two samples of data, A and B, with the sample means x¯A=1 and x¯B=10, are taken from population with the population mean µ. The null hypothesis is that the population mean µ is equal to the value of x¯A. The alternative hypothesis is that the population mean µ is greater than the value of x¯A. Which of the samples (if any) provides evidence to refute the null hypothesis and support the alternative hypothesis.

Sample A provides evidence to reject the null hypothesis and support the alternate hypothesis.

Step-by-step explanation:

Since the sample mean of A is taken from the population mean, it implies that the population mean would be greater than the sample mean of A which has a value of 1.

The statement that the population mean is greater than the sample mean of A is contained in the alternate hypothesis.

Therefore, the null hypothesis is rejected.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.