Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂
Where;
= 13.5
= 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;
We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
Y=12
The angles are 45°, 114°,105°,96° & 84°
Answer:
hahahahahahaa that's truly
The two numbers are 8 and 12.
When added, you get a sum of 20.
When multiplied, you get a product of 96.
Answer:
The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.
Step-by-step explanation:
The probability, in this case, has to be calculated using the sum rule because the events are independent.
P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it.
Facts:
P(men) = 60% = 99/165
P(non-fiction) = 40% = 66/165
P(men non-fiction) = 40/165
P = P(men) + P(non-fiction) – P(men non-fiction)
P = 99/165 + 66/165 – 40/165
P = 125/165
P = 0.758 or 75.8%
