Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as
here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.
Answer:
the x would equal to 11 ,so x=11
Answer:
30%
Step-by-step explanation:
10-7=3
3/10×100
=30%
Answer:-2-5÷4-1=-1
Step-by-step explanation:
Answer:
Check the explanation
Step-by-step explanation:
(a)
P-value of income and size is 0.0003 and 0.0001 respectively. Both are less than 0.05 level of significance. So these are significant ot the model. Option D is correct.
(b)
The model is
House_size = -1.6335+0.4485*income + 4.2615*family_size -0.6517*school
Here we have income = 85600/1000 = 85.6
family_size = 6
school = 13
So the predicted house size is
House_size = -1.6335+0.4485*85.6 + 4.2615*6 -0.6517*13=53.855
the predicted house size (in hundreds of square feet) is 53.86. hence, option B is correct.
3)
Here we have income = 100000/1000 = 100
family_size = 10
school = 16
So the predicted house size is
House_size = -1.6335+0.4485*100 + 4.2615*10 -0.6517*16=75.40
Residual : observed value- predicted value = 70 - 75.40 = -5.40
Option C is correct.
