A marketing consultant was in the process of studying the perceptions of married couples concerning their weekly food expenditures. He believed that the husband’s perception would be higher than the wife’s. To judge his belief, he takes a random sample of ten married couples and asks each spouse to estimate the family food expenditure (in dollars) during the previous week. If the test statistic t = 2.776, with a degrees of freedom = 9, what can we conclude at α = .05?

We have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.

Step-by-step explanation:

The hypotheses testing procedure in the given scenario is

H0: Husband’s perception would be similar to the wife’s i.e. μh=μw

Ha: Husband’s perception would be higher than the wife’s i.e. μh>μw

Level of significance: α=0.05

Test statistic: t=2.776

Critical region: t>t(0.05,9)=1.833

Conclusion: As the calculated value of t lies in critical region, so we reject our null hypothesis at 0.05 level of significance. Thus, we have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.