Answer:
Kindly check explanation
Step-by-step explanation:
H0 : μ = 15.7
H1 : μ < 15.7
This is a one sample t test :
Test statistic = (xbar - μ) ÷ (s/√(n))
n = sample size = 33
Using calculator :
The sample mean, xbar = 15.41
The sample standard deviation, s = 0.419
Test statistic = (15.41 - 15.70) ÷ (0.419/√(33))
Test statistic = - 3.976
Using the Pvalue calculator :
Degree of freedom, df = n - 1 ; 33 - 1 = 32
Pvalue(-3.976, 32) = 0.000187
Decison region :
Reject H0 if Pvalue < α
Since Pvalue < α ; we reject H0
There is significant evidence to conclude that the true average height of the seedlings treated with an extract from Vinca minor roots is less than 15.7 cm.
Remark
The key step is just to subtract 5 from both sides. The pointed of the inequality still points away from the variable and towards the number. As long as that remains true, the correct answer can be found.
Solution
2.7 ≤ b + 5 Subtract 5 from both sides.
2.7 - 5 ≤ b
- 2.3 ≤ b Write with the variable on the left.
b ≥ - 2.3 <<<< answer
Answer:
25.1325
Step-by-step explanation:
16/2= radius of 8. pi*r^2 for 8 is 201.06. 201.06/8(slices) = 25.1325
Answer:
Step-by-step explanation:
Add 5 to both sides
x = 6
Add 3 to both sides
x = -15 +3
x = -12
Answer:
Step-by-step explanation:
9. discount is 9 dollars. sale price is 36 dollars
10. discount is 135 dollars sale price is 315
11. discount is 7.20 dollars, sale price is 41.80
12. discount is 37.50. sale price is 112.50
13. discount is 590. sale price is 870
14. discount is 42. sales price is 42
15. discount is 32.50. sales price is 292.50
16. discount is 29.75. sales price is 56.25
17. The similarities is that there's a difference in the original price, usually in a percentage. The difference is that a markup is a increase whereas a discount is a decrease
