Answer:
a) There is suggestive evidence the velvet leaf seed is successful at weed control.
b) Lower bound: 3.699 Upper bound: 6.629
c) Since the confidence interval contains the average percent of seeds to be infected by the beetle (5.164), so we fail to reject the null hypothesis at the specified level of significance.
Step-by-step explanation:
See attached picture.
Answer:
P(X is greater than 30) = 0.06
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.5
Sample size = 30
The Binomial can be approximated to normal with:


To find:
P(X> 30)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5
Normal distribution:
x = 30.5,
= 25,
= 3.536
Using the z test statistics;



z = 1.555
The p-value for P(X>30) = P(Z > 1.555)
The p-value for P(X>30) = 1 - P (Z< 1.555)
From the z tables;
P(X> 30) = 1 - 0.9400
Thus;
P(X is greater than 30) = 0.06
Answer:
x=7
Step-by-step explanation:
- 4(x-2) = 2x+3(x-5)
- 4x-8 = 2x+3x-15
- 4x-8 = 5x -15
- -x = -7
- x = 7
Answer:
The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size).
Step-by-step explanation:
The sample mean is the average value for a set of observations which is derived from a population. While the population mean is the average value for the entire set of observation belonging to a particular study of interest.
The set of observation belonging to a population is denoted by 'N' ; while the sample size is denoted as 'n' :
The mean formula is written thus :
Population mean = Σx / N
Sample mean = Σx / n
Where, x = set of values.