Is there a difference in the amount of airborne bacteria between carpeted and uncarpeted rooms? in an experiment, 7 rooms were carpeted and 7 were left uncarpeted. the rooms are similar in size and function. after a suitable period of time, the concentration of bacteria in the air was measured (in units of bacteria per cubic foot) in all of these rooms. assume the populations are normally distributed. the data and summaries are provided:

x s

carpeted rooms: 184 22.0

uncarpeted rooms: 175 16.9

15. a 95% confidence interval for the difference in mean bacterial concentration in the air of carpeted rooms versus uncarpeted rooms is (use 11 degrees of freedom).

a. –7.47 to 31.47.

b. –18.89 to 42.89.

c. –16.66 to 34.66.

d. –14.02 to 32.01.

16. the researcher wants to investigate whether carpet makes a difference (either increases or decreases) in the mean bacterial concentration in air. the numerical value of the two-sample t statistic for this test is

a. 0.414

b. 3.818

c. 1.312

d. 0.858.

17. the p-value for the test described above is approximately 0.42, what can be concluded from the hypothesis test.

a. there is no evidence of a difference between the average amount of bacteria in the carpeted and uncarpeted rooms.

b. fail to reject the null hypothesis at a significance level of 0.05.

c. the null hypothesis is true.

d. both a and b are true.

can you provide the steps

The size of your deposit should be $13,023.92.

Step-by-step explanation:

First, the real interest has to be calculated using the following formula:

r = [(1 + i) / (1 + inf)] - 1 (1)

Where;

i = market interest rate = Interest rate on the account = 12%, or 0.12

r = real interest rate = ?

inf = inflation rate = 10%, or 0.10

Substituting the values into equation (1) and solve for r, we have:

r = [(1 + 0.12) / (1 + 0.10)] - 1 = 0.0181818181818183

Since you will need to pay ksh144,000 at beginning of first in a 4- year program, this implies that the relevant to use in calculating the size of the deposit is the formula for calculating the Future Value (FV) of an Annuity Due as follows:

FV = P * (((1 + r)^n - 1) / r) * (1 + r) (2)

Where,

FV = Future value or the amount needed to pay on the 20th birthday = ksh144,000

P = Fixed annual payment or size of the deposit = ?

r = real interest rate = 0.0181818181818183

n = number of years = 20 - 10 = 10 (Since you will make a deposit 1 year from today annually and continue to make an identical deposit each year up to and including the year you begin college.)

Substituting the values into equation (2) and solve for P, we have:

144,000 = P * (((1 + 0.0181818181818183)^10 - 1) / 0.0181818181818183) * (1 + 0.0181818181818183)

144,000 = P * 10.8591414092614 * 1.0181818181818183

144,000 = P * 11.0565803439752

P = 144,000 / 11.0565803439752

P = $ 13,023.92

Therefore, the size of your deposit should be $13,023.92.