An experiment was conducted to test the effect of a new dietary supplement for weight loss. Ten men and ten women were given the supplement daily for a month; then the amount of weight each person lost was determined. A significance test was conducted at the α = 0.05 level for the mean difference in the number of pounds lost between men and women. The test resulted in t = 2.178 and p = 0.03. If the alternative hypothesis in question was Ha: μm − μw ≠ 0, where μm equals the mean number of pounds lost by men and μw equals the mean number of pounds lost by women, what conclusion can be drawn? (2 points) options:

There is not a significant difference in mean weight loss between men and women.

There is sufficient evidence that there is a difference in mean weight loss between men and women.

There is sufficient evidence that, on average, men lose more weight than women.

The proportion of men who lost weight is greater than the proportion of women.

There is insufficient evidence that the proportion of men and women who lost weight is different.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

21

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.