Answer:
H0: The new cancer drug increases the mean survival time by 30 days
Ha: The new cancer drug increases the mean survival time by 30 or more than 30 days.
If fail to reject H0 (the null hypothesis), the conclusion is that the new cancer drug increases the mean survival time by 30 days.
Step-by-step explanation:
The null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.
The alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.
The test is a two-tailed test because the alternate hypothesis is expressed using more than or equal to.
If I fail to reject H0, it means the test statistic falls within the region bounded by the critical values.
It would therefore be concluded that the new cancer drug increases the mean survival time by 30 days.
Answer:
x = 2
Step-by-step explanation:
(x + 50)/2 = 13x, first multiply both sides by 2
x + 50 = 26x, next subtract x from both sides
50 = 25x, finally divide both sides by 25
2 = x
Answer:
The answer is "8".
Step-by-step explanation:
Let the number are a, b, c then value is as follows:
a= 3
b= 5
c= 7
The addition of equation ⇒ a+b+c =15....................(i)
multiply by the value ⇒ 3a + 5b + 7c = 75
...............(ii)
let b= 15-a-c which subtract from equation (ii)
equation:
⇒ 3a + 5b + 7c = 75
⇒ 3a + 5(15-a-c) + 7c = 75
⇒ 3a +75-5a-5c+7c = 75
⇒ 3a -5a-5c+7c = 75-75
⇒ -2a + 2c = 0
⇒ 2(c-a) = 0
⇒ (c-a) = 0
⇒ c=a
if we put value in between 0 to 7 from it satisfies the two equations, with c=a and b = 15 - a - c. So, the correct answer is 8.
Answer: 32
Step-by-step explanation:
1. cos of 58 deg= 0.529919264
2. sin^-1 (0.529919264)= 31.999... = 32
Answer:
14t + 58 ≤ 150
Step-by-step explanation:
If she cannot spend more than what she has, which is 150, the inequality sign has to be "less than or equal to". It's ok if she spends less than 150, but not ok if she spends more, because she doesn't have it to spend.
We know the cost of 1 pair of jeans is 58. Now she wants to make up the difference by getting as many $14 shirts as possible (the number of shirts being our unknown).
That means that the cost of the jeans PLUS the unknown number of shirts cannot exceed 150.
Therefore, the inequality is:
14t + 58 ≤ 150
