Assume that thermometer readings are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C.
1 answer:
Answer:
The probability of getting a reading between -1.42 degree C and 1.61 degree C is 0.8685.
Step-by-step explanation:
We are given that
degree C
Standard deviation, degree C
We have to find the probability of the reading between -1.42 and 1.61.
Using the formula
Hence, the probability of getting a reading between -1.42 degree C and 1.61 degree C is 0.8685.
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Answer:
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 447.0 gram setting.
So, Null hypothesis :
It is believed that the machine is under filling the bags
So, Alternate hypothesis :
n = 41
Population standard deviation =
x = 443
We will use z test since n > 30 and we are given the population standard deviation.
Formula :
Use z table to find p value
p value = 0.1131
α = 0.02
p value > α
So, we fail to reject null hypothesis.
So, its bag filling machine works correctly at the 447.0 gram setting.