Answer: the difference is 3
Step-by-step explanation: give question
Answer: Reject the eight- ounces claim.
Step-by-step explanation:
For left tailed test , On a normal curve the rejection area lies on the left side of the critical value.
It means that if the observed z-value is less than the critical value then it will fall into the rejection region other wise not.
As per given ,
Objective : A coffee-dispensing machine is supposed to deliver eight ounces of liquid or less.
Then ,
, since alternative hypothesis is left-tailed thus the test is an left-tailed test.
the critical value for z for a one-tailed test with the tail in the left end is -1.645 and the obtained value is -1.87.
Clearly , -1.87 < -1.645
⇒ -1.87 falls under rejection region.
⇒ Decision : Reject null hypothesis.
i.e. we reject the eight- ounces claim.
Answer:
Step-by-step explanation:
V, r, h are the volume, radius, and height, respectively.
V = πr²h = 9πr²
The only error in your previous answers was that you forgot the π.
if r = 1, V = 9π1² = 9π ≅ 28 in³
if r = 2, V = 9π2² = 36π ≅ 113 in³
if r = 3, V = 9π3² = 81π ≅ 254 in³
Answer: The p-value is 0.154.
Step-by-step explanation:
Since we have given that
We claim that
Null hypothesis :

Alternate hypothesis :

Population mean = 20 hours
Sample mean = 18.5 hours
Sample standard deviation = 4.3 hours
Sample size n = 35
So, test statistic would be

So, the p value would be 0.154.
Hence, the p-value is 0.154.