In which of the following scenarios will conducting a two-sample t-test for means be appropriate? Check all that apply. A. To test if there is a difference between the proportion of low-income families in British Columbia and a known national proportion.
B. To test if the mean annual income of Ontarians is higher than that of British Columbians.
C. To test if there is a difference between the mean annual income of husbands and that of wives in Canada.
D. To test if the proportion of low-income families is higher than that of high-income families in British Columbia.
E. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.
F. To test if there is a difference between the mean annual income of British Columbians and a known national mean.
G. None of the above

B. To test if the mean annual income of Ontarians is higher than that of British Columbians

E. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.

Explanation:

The options chosen have two populations that are independent. For example in option B, the annual income of Ontarians is a different population from annual income of British Columbians and they are also independent. The two sample t test can only be used when the populations are independent, it can also be used when computing difference between the means of two populations

answer4 to the second power is 16

and 4 to the third power is 64,

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)