Answer:
0.1169
Step-by-step explanation:
We solve the question using the z score formula
z = (x-μ)/σ/√n where
x is the raw score = 4800 miles
μ is the population mean = 4550 miles
σ is the population standard deviation = 1470 miles
n is the random number of samples = 49 drivers
Greater than sign = >
For x > 4800 miles
z = 4800 - 4550/1470/√49
= 4800 - 4550/1470/7
= 4800 - 4550/210
= 1.19048
Probability value from Z-Table:
P(x<4800) = 0.88307
P(x>4800) = 1 - P(x<4800)
P(x>4800) = 1 - 0.88307
P(x>4800) = 0.11693
Approximately to 4 decimal places = 0.1169
Therefore, the probability that these drivers have a sample mean greater than 4800 miles is 0.1169
Answer:
b
Step-by-step explanation:
is the proper answer
Answer:
b. Hannah is likely to be incorrect because 9 is not contained in the interval.
Step-by-step explanation:
Hello!
Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.
The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.
In this example, the 99%CI resulted [0.4;8.0]hs
Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.
Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9
Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed
H₀: μ₁ - μ₂ ≤ 9
H₁: μ₁ - μ₂ > 9
And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.
I hope this helps!
Answer: 0.03538944
Step-by-step explanation:
Given, The accuracy of missile = 96%
i.e. The probability that it will hit the shot = 0.96
Probability of missing the shot = 1-0.96= 0.04
Now, each missile is independent of other.
Therefore, the probability only the second one misses = (probability that first will hit the shot) x (probability that second one misses ) x (probability that third will hit the shot)x (probability that fourth will hit the shot)
Thus, the probability only the second one misses is
Hence, the required probability = 0.03538944
Answer:
Is you divided that by the number it times you can get the answer for your question
Step-by-step explanation: