Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 100g
For the alternative hypothesis,
µ < 100g
Due to the <, It means that it is left tailed test.
Since the number of samples is large, the population standard deviation is given, the z test would be used. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 100g
x = 99 g
σ = 1g
n = 30
z = (99 - 100)/(1/√30) = - 5.48
Looking at the normal distribution table, the probability corresponding to the z score is less than 0.00001
P value < 0.00001
Answer:
b. 2.01 < σ < 2.81
Step-by-step explanation:
The 90% confidence interval for the population standard deviation is calculated as:
< σ < 
Where n is equal to 51, s is equal to 2.34,
is 10%,
is the value for the Chi squared distribution with n-1 degrees of freedom that has a probability of
in the right tail and
is the value for the Chi squared distribution with n-1 degrees of freedom that has a probability of
in the right tail.
So, replacing n by 51, s by 2.34,
by 67.50 and
by 34.76, we get that the The 90% confidence interval is equal to:
< σ <
2.01 < σ < 2.81
Answer: yes
Step-by-step explanation: think about it
Answer:
9x^2+24x+16
Step-by-step explanation: