Answer:
The p value would be:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we cna conclude that the true mean is less than 60 at 10% of significance.
Step-by-step explanation:
Information given
represent the sample mean of interest
represent the sample standard deviation
sample size
represent the value to check
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test
System of hypothesis
we want to check if the true mean is lower than 60, so thn the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replcing into the formula we got:
P value
The degrees of freedom are given by:
The p value would be:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is less than 60 at 10% of significance.
Answer:
(-4,5)
Step-by-step explanation:
-8-(-6)=2
3-1=2
-8+2=-6
1+2=3
-6+2=-4
3+2=5
(-4,5)
Train A speed= 70 km/h north
Train B speed= 75 km/h south
Opposite directions= add speeds 70+75=145
Distance= 435 Km
Time= d/s; 435/145= 3 hours
It would take 3 hours for the trains to be 435 kilometers apart
Answer:
C
Step-by-step explanation: