Answer: We will reject the null hypothesis.
Step-by-step explanation:
Since we have given that
Mean μ = 71.5 lbs
Standard deviation σ = 7.5 lbs
So, the hypothesis are given below:
Since α = 5% level of significance = 0.05
So, there is two tail test.
Critical values of z are 1.96 and -1.96.
So, we will reject H₀ if z<-1.96 or z>1.96
So, first we will find the value of z.
According to test statistic approach:
Since z >1.96
as 4.39>1.96
So, we will reject the null hypothesis.
Answer:
Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.
Step-by-step explanation:
The distance of Tasha's balloon from the town is represented by the function y = 8x+ 20 ............. (1)
Where y is the distance in miles from the town and x represents the time of fly in hours.
So, at the start of the journey i.e. at x = 0, y = 20 miles {From equation (1)} from the town.
Again, Tasha's balloon is traveling at a rate of 8 miles per hour.
Now, Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours.
So, Henry's balloon traveling with the speed of miles per hour.
Therefore, Henry's balloon was farther from the town at the beginning i.e. 30 miles from the town. And Henry's balloon traveled more quickly i.e at the rate of 9 miles per hour. (Answer)