Fatima is shaping this model to show 0.08 x 3. shade the correct amount of boxes that will show the product. fatima should shade
______ groups of ______ small squares or_____ small square.
1 answer:
Answer:
Fatima should shade 3 groups of 8 small squares or 24 small squares.
Step-by-step explanation:
Consider the provided information.
Fatima is shading this model to show 0.08 × 3. Shade the correct amount of boxes that will show the product.
Here 3 represents the number of groups and 8 represents the small square.
Multiplication is repeated addition.
We can rewrite the above multiplication as: 0.08 + 0.08 + 0.08
Therefore 0.08 × 3 = 0.24
Here 0.24 represents 24 small squares.
The required model is shown below:
Hence, Fatima should shade 3 groups of 8 small squares or 24 small squares.
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Answer:
e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.
Step-by-step explanation:
Hello!
The study's objective is to test if hypnotism reduces pain.
A sample of n=8 subjects was taken and the pain level was recorded in each subject before and after being hypnotized.
The variable of interest was determined by calculating the difference of pain level after - before hypnosis. This is a paired sample test and the variable can be determined as:
Xd: Difference between pain level felt after hypnosis and pain level felt before hypnosis of a subject.
The sample average and standard deviation obtained were:
Xd= -3
Sd= 3
And the variable is presumed to be approximately normal.
An approximately normal distribution is enough to conduct a paired sample t-test.
If the claim is that hypnosis reduces pain, then the average pain level after hypnosis should be less than the average pain level before hypnosis, then the average difference is expected to be negative, symbolically: μd < 0
The test will be one-tailed and so will be the p-value.
Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).
So first step is to calculate the value of the statistic under the null hypothesis and then you can calculate the p-value.
H₀: μd ≥ 0
H₁: μd < 0
The DF of the t-test are n-1= 7
Then you can calculate the p-value as:
P(t₇≤-2.83)= 0.0127
The level of the test is α: 0.01
The decision rule is:
If p-value ≤ α, reject the null hypothesis.
If p-value > α, do not reject the null hypothesis.
The p-value > α the decision is to not reject the null hypothesis.
Correct option: e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.
I hope this helps!