Answer:
Step-by-step explanation:
Hello!
The variable of study is X: Temperature measured by a thermometer (ºC)
This variable has a distribution approximately normal with mean μ= 0ºC and standard deviation σ= 1.00ºC
To determine the value of X that separates the bottom 4% of the distribution from the top 96% you have to work using the standard normal distribution:
P(X≤x)= 0.04 ⇒ P(Z≤z)=0.04
First you have to use the Z tables to determine the value of Z that accumulates 0.04 of probability. It is the "bottom" 0.04, this means that the value will be in the left tail of the distribution and will be a negative value.
z= -1.75
Now using the formula of the distribution and the parameters of X you have to transform the Z-value into a value of X
z= (X-μ)/σ
z*σ = X-μ
(z*σ)+μ = X
X= (-1.75-0)/1= -1.75ºC
The value that separates the bottom 4% is -1.75ºC
I hope this helps!
Answer:
At 1% significance level, this difference is considered to be extremely statistically significant.
Step-by-step explanation:
Group Group One Group Two
Mean 41.300 54.800
SD 6.800 6.000
SEM 2.050 1.604
N 11 14
H0: Mean of group I = Mean of group II
Ha: Mean of group I < mean of group II
(Left tailed test at 1% significance level)
The mean of Group One minus Group Two equals -13.500
standard error of difference = 2.563
t = 5.2681
df = 23
p value= 0.00005
Since p < significance level, reject H0
Answer: y = 3
Step-by-step explanation: y−3=2(x+1)
We know that x=-1 and we want to solve for y
Put in x=-1
y-3 = 2(-1+1)
y-3 = 2(0)
y-3=0
Add 3 to each side
y-3+3 = 0+3
y =3
Answer:
Suppose you have a gift certificate worth $20 for one long-distance phone call. If the charge is $1.10 for the first minute and $0.42 for each additional minute , what is the longest that you can talk?
20 - 1.10 = 18.9
18.9 / 0.42
= 45
Step-by-step explanation:
