There is not enough evidence at the 0.02 level that the doors are either too long or too short. So, the null hypothesis is accepted.
<h3>How to decide whether the null hypothesis is rejected or accepted?</h3>
Using the p-value approach for the hypothesis test, whether the null hypothesis is rejected or accepted.
- If the p-value is greater than the significance level then the null hypothesis is accepted.
- If the p-value is less than the significance level then the null hypothesis is rejected.
<h3>Calculation:</h3>
It is given that,
Sample size n = 17
Sample mean X = 2069
Standard deviation σ = 24
Population mean μ = 2058
Significance level α = 0.02
Hypothesis:
The null hypothesis: H0: μ = 2058
The alternative hypothesis: Ha: μ ≠ 2058
So, the z-test score for the given distribution is,
z-score = (X - μ)/(σ/√n)
On substituting,
z-score = (2069 - 2058)/(24/√17)
= 11/5.82
= 1.89
Thus, the p-value for the z-score of 1.89 is 0.0587 ≅ 0.06.
Since 0.06 > 0.02(significance level), the null hypothesis is accepted. So, there is no sufficient evidence that the doors are either too long or too short.
Learn more about p-value approaches for hypothesis testing here:
brainly.com/question/14805123
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F(x) has a greater slope.
Explanation: when graphing g(x) on a graphing calc, you will see that the slope is 2/2, which is less than a slope of 4.
Hope this helps!!
I can't exactly SHOW you where to put the numbers, but I can teach you the process of how you'd do it.
First off, label your number line from 0-15, as it is the simplest. (You'd be counting by 1 per each line). Then, follow this process:
1) Look at the first digit of your value. Place your number according to your first digit. (So, you'd put 0.365 at the 0 line and 3.521 at the 3 line)
2) Look at the second digit of your value. Imagine that between the two main lines (0-1 and 3-4) that there is 10 smaller lines. Then, you can place your number according to your second digit. (So, you'd put 0.365 at the 0.3 line and 3.521 at the 3.5 line).
3) Look at the third digit of your value. Imagine that between the two smaller lines (0.3-0.4 and 3.5-3.6) that there is 10 smaller lines. Then, you can place your number according to your third digit. (So, you'd put 0.365 at the 0.36 line and 3.521 at the 3.52 line).
4) Look at the fourth digit of your value. Imagine that between the two even smaller lines (0.36-0.37 and 3.52-3.53) that there is 10 smaller lines. Then, you can place your number according to your fourth digit. (So you'd place 0.365 at the 0.365 line and 3.521 at the 3.521 line)
Answer: 1. 10
2. an = an - 1 + 7 where a1 = -10
Step-by-step explanation:
B) Since 80% is orange juice so you know that 20% is water. And it says there is 1L water. Therefore 20% = 1. (4) X 20%=1 X (4) The answer is 4L of orange juice.
A) I am not sure Sorry.
