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:
(a) Each piece is “berry or cherry” with probability p = 1/2. The proba-
bility of only berry or cherry pieces is p
12 = 1/4096.
Step-by-step explanation:
(b) Each piece is “not cherry” with probability 3/4. The probability all 12
pieces are “not pink” is (3/4)12 = 0.0317.
(c) For i = 1, 2, . . . , 6, let Ci denote the event that all 12 pieces are flavor i.
Since each piece is flavor i with probability 1/4, P[Ci
] = (1/4)12. Since
Ci and Cj are mutually exclusive,
P[F1] = P[C1 ∪ C2 ∪ · · · ∪ C4] = X
4
i=1
P[Ci
] = 4 P[C1] = (1/4)11
.
Answer/Step-by-step explanation:
#8. Using the geometric mean theorem formula, h = √xy, where,
h = x
x = 4 and y = 16
Plug in the values
x = √(4*16)
x = 8
#9. Using the geometric mean formula, h = √xy, where,
h = y
x = 5 and y = 8
Plug in the values into the formula:
y = √(5*8)
y = √40
y = 6.3 (nearest tenth)
#10. Using the geometric mean formula, h = √xy, where,
h = 18
x = 12 and y = y = ???
Plug in the values into the formula:
18 = √(12*y)
Square both sides
18² = 12y
324 = 12y
Divide both sides by 12
27 = y
y = 27
Answer:
8
Step-by-step explanation:
