Answer:
Check the explanation
Step-by-step explanation:
Hypotheses are:
![H_{0}:\mu_{1}=\mu_{2},H_{1}:\mu_{1}\neq \mu_{2}](https://tex.z-dn.net/?f=H_%7B0%7D%3A%5Cmu_%7B1%7D%3D%5Cmu_%7B2%7D%2CH_%7B1%7D%3A%5Cmu_%7B1%7D%5Cneq%20%5Cmu_%7B2%7D)
Following is the output of t test:
Hypothesis Test: Independent Groups (t-test, pooled variance)
X1 X2
12 15.5 mean
3.6591 3.6839 std. dev.
10 15 n
23 df
-3.5000 difference (X1 - X2)
13.4999 pooled variance
3.6742 pooled std. dev.
1.5000 standard error of difference
0 hypothesized difference
-2.33 t
.0287 p-value (two-tailed)
The p-value is:
p-value = 0.0287
Since p-value is less than 0.05 so we reject the null hypothesis. That is we can conclude that the exercise program have a significant effect.
(b)
The cohen's d is
![d=\left |\frac{\bar{x}_{1}-\bar{x}_{2}}{s_{p}} \right |=\left |\frac{12-15.5}{3.6742 } \right |=0.95](https://tex.z-dn.net/?f=d%3D%5Cleft%20%7C%5Cfrac%7B%5Cbar%7Bx%7D_%7B1%7D-%5Cbar%7Bx%7D_%7B2%7D%7D%7Bs_%7Bp%7D%7D%20%5Cright%20%7C%3D%5Cleft%20%7C%5Cfrac%7B12-15.5%7D%7B3.6742%20%7D%20%5Cright%20%7C%3D0.95)
Answer:
Step-by-step explanation:
The answer is b (1,-1)
Answer:
a) when x approaches negative infinity, A(x) approaches positive infinity and when x approaches infinity, A(x) approaches positive infinity
Step-by-step explanation:
there are 2 ways to figure this out:
1. when you multiply the factors together, you end up with
. use the end behavior chart to figure out the end behavior.
look at the
. the exponent is even and the coefficient is positive. therefore, the graph's end behavior goes towards infinity in both directions
2. graph problem and look at the end behavior
Answer:
a) 14960 bottles
b) 502 bottles
Step-by-step explanation:
Given that:
Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces
a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).
Therefore 68% fall within 0.14 ounces of the mean
the number of bottle = 22,000*68% = 14960 bottles
b) To solve this we are going to use the z score equation given as:
where x is the raw score = 23.72
![z=\frac{x-\mu}{\sigma}=\frac{23.72-24}{0.14} =-2](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B23.72-24%7D%7B0.14%7D%20%3D-2)
From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228
The number of rejected bottles = 22000 × 0.0228 = 502 bottles