Answer:
Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week
Step-by-step explanation:
Information given
represent the sample mean for the growth
represent the sample standard deviation
sample size
represent the value to check
represent the significance level
t would represent the statistic
represent the p value for the test
System of hypothesis
We want to verify if the true mean for the growth us less than 3cm per week, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviation so we can use the t statistic:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case would be given by:
Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week
Answer:
10^-5 or 1/100,000
Step-by-step explanation:
That probability of 5 events in a row is the 5th power of the probability of one of them, assuming they are independent.
0.1^5 = (10^-1)^5 = 10^-5
The answer to your question is -102
Answer: 0.15 m
Step-by-step explanation:
Using the small angle formula
D= kd/206265 where
k= 22 and d= 1400
D= 22 x 1400/206265
D=0.149 m
Hence the linear diameter is 0.15 m.
Answer:
x^2 + y^2 = r^2
Step-by-step explanation:
See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.
