Answer:
Step-by-step explanation:
Hello!
You are asked to test the difference of the population means of the opinion of men and women over a constitutional amendment to ban burning the national flag.
Population 1 (women)
Sample n₁= 400
X[bar]₁= 80.6
Population 2 (men)
n₂= 586
X[bar]₂= 77.6
σ₁= σ₂ = σ =3.5
To test whether there is a difference between the opinion of people about the amendment regarding their gender the hypothesis is:
H₀: μ₁ - μ₂ = 0
H₁: μ₁ - μ₂ ≠ 0
α: 0.05
The statistic to use is a pooled Z:
Z=<u> (X[bar]₁ - X[bar]₂) - (μ₁ - μ₂) </u> ~N (0;1)
σ*√(1/n₁ + 1/n₂)
The critical region for this hypothesis is two tailed:


Z=<u> (X[bar]₁ - X[bar]₂) - (μ₁ - μ₂) </u> = <u> (80.6-77.6) - 0 </u> = 13.215
σ*√(1/n₁ + 1/n₂) 3.5√(1/400 + 1/586)
Since the calculated Z-value is greater than the right critical value -81.96) the decision is to reject the null hypothesis. There is significant evidence to conclude that there is no difference between the population means of the opinion about the constitutional amendment to ban the burning of the national flag of women and men.
I hope it helps!
172 ÷ 4 = 43 miles per hour
43 ÷ 5 = 10.75 miles per 12 minutes
Answer:
g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12?
Step-by-step explanation:
The average mean is equal to the sum of numbers divided by the total numbers, which means that the mean of 230 with 80 numbers gives that the sum is 230*80 = 18400, if you apply the formula described in the beginning. Since 4 numbers are known and are<span> 145,156,210, and 255, their sum is </span>766. The sum of the list is equal to the sum of the numbers without the sum of 4 known numbers, so it's equal to 18400 - 766 = 17634, from which we can see that the Mean = (Sum Of List)/(80 - 4)
= 17634/76
= 232.02