Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 20 meters below the edge of
a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up 4 meters each second and get out of the volcano safely.
1 answer:
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Answer:
Comparing the p value with the significance level we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.
Step-by-step explanation:
represent the mean for sample 1
represent the mean for sample 2
represent the sample standard deviation for 1
represent the sample standard deviation for 2
sample size for the group 2
sample size for the group 2
Significance level provided
t would represent the statistic (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:
(1)
And the degrees of freedom are given by
t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
With the info given we can replace in formula (1) like this:
P value
Since is a bilateral test the p value would be:
Comparing the p value with the significance level we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.
Answer:
The experimental probability that terry will win their next game is
Step-by-step explanation:
While theoretical probability is the ratio of the number of favourable outcomes to the total number of outcomes, the experimental probability is the ratio of number of times the event is occurring to the total number of trials of the experiment.
Out of 5 games jay wins 3
Now the experimental probability that terry will win their next game
= 1 - Probability of Jay winning the game----------------------(1)
Probability of Jay winning the game =
=> ----------------------------------------------------(2)
Substituting (2) in (1)
=> 1 -
=>
=>