Answer:
Test statistic = 1.3471
P-value = 0.1993
Accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4
Sample mean,
= 4.8
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 2.3
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have

Now, we calculate the p-value.
P-value = 0.1993
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.
The answer to this is irrational
Answer: 13:15
26:30
39:45
52:60
Step-by-step explanation:
Answer:
d) 7(30 + 9) = 7(30) + 7(9)
Step-by-step explanation:
<u>Distributive method</u>:
<u>Here given</u>:
Among the option's:
<u>1st option</u> (7 + 3) (7 + 9) is wrong, changes <u>final answer</u>.
<u>2nd option</u> (7 × 30) + 9 is wrong, changes <u>final answer</u>.
3rd option 39 × 7 shows commutative property of multiplication.
<u>4th option</u> show distributive method.
Putting both equations into standard form, we have the system
x -2y = 4
x -2y = -12
The lines these equations describe are
parallel.