A health educator wants to evaluate the effect of a dental film on the frequency with which children brush their teeth. Eight randomly chosen kids are measured on the number of times they brushed their teeth for one month before viewing the dental film and again for a month after the film. Child Before After 1 23 27 2 28 29 3 22 25 4 30 30 5 26 25 6 24 28 7 25 28 8 22 24 Therefore, the research hypothesis is that the dental film is effective at changing the frequency with which children brush their teeth. Hint: Make sure you do After-Before. Step 1. Express the substantive question as two statistical hypotheses. H0: Answer Answer Answer H1: Answer Answer Answer Step 2. Draw the sampling distribution under the null hypothesis using the p < .05 as the criterion for statistical significance to determine the critical values. What is the center of the distribution? Answer Answer Answer What are the critical values? ± Answer 3 decimal places Step 3. Report all values (excluding critical values) to TWO decimal places. Report actual p-value to THREE decimal places. MD Answer Actual p-value Answer nD Answer dfD Answer SED = Answer tobs = Answer What can we say about the tobs in relation to the p-value and significance? p Answer .05 Our observation Answer statistically significant. We Answer. 95% CI around mean difference = (Answer , Answer) What can we say about the CI in relation to the center of the distribution and significance? The 95% CI Answer include zero. Our observation Answer statistically significant. We Answer. dz = Answer Step 4. Write an APA conclusion using your by-hand work. Report all values to TWO decimal places. On average, compared to before watching a dental film, children brush their teeth Answer times per month after watching a dental film (MD = Answer; SDD = 1.85). A Answer showed that the mean difference Answer statistically significant, (t (Answer) = Answer , p Answer Answer). Also, the 95% CI around the mean difference Answer include zero, (Answer , Answer). The d-effect size indicated there was a Answer treatment effect (dz = Answer).

A health educator wants to evaluate the effect of a dental film on the frequency with which children brush their teeth. Eight randomly chosen kids are measured on the number of times they brushed their teeth for one month before viewing the dental film and again for a month after the film. Child Before After 1 23 27 2 28 29 3 22 25 4 30 30 5 26 25 6 24 28 7 25 28 8 22 24 Therefore, the research hypothesis is that the dental film is effective at changing the frequency with which children brush their teeth. Hint: Make sure you do After-Before. Step 1. Express the substantive question as two statistical hypotheses. H0: Answer Answer Answer H1: Answer Answer Answer Step 2. Draw the sampling distribution under the null hypothesis using the p < .05 as the criterion for statistical significance to determine the critical values. What is the center of the distribution? Answer Answer Answer What are the critical values? ± Answer 3 decimal places Step 3. Report all values (excluding critical values) to TWO decimal places. Report actual p-value to THREE decimal places. MD Answer Actual p-value Answer nD Answer dfD Answer SED = Answer tobs = Answer What can we say about the tobs in relation to the p-value and significance? p Answer .05 Our observation Answer statistically significant. We Answer. 95% CI around mean difference = (Answer , Answer) What can we say about the CI in relation to the center of the distribution and significance? The 95% CI Answer include zero. Our observation Answer statistically significant. We Answer. dz = Answer Step 4. Write an APA conclusion using your by-hand work. Report all values to TWO decimal places. On average, compared to before watching a dental film, children brush their teeth Answer times per month after watching a dental film (MD = Answer; SDD = 1.85). A Answer showed that the mean difference Answer statistically significant, (t (Answer) = Answer , p Answer Answer). Also, the 95% CI around the mean difference Answer include zero, (Answer , Answer). The d-effect size indicated there was a Answer treatment effect (dz = Answer).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A health educator wants to evaluate the effect of a dental film on the frequency with which children brush their teeth. Eight randomly chosen kids are measured on the number of times they brushed their teeth for one month before viewing the dental film and again for a month after the film.

Child	Before	After
1	23	27
2	28	29
3	22	25
4	30	30
5	26	25
6	24	28
7	25	28
8	22	24

Therefore, the research hypothesis is that the dental film is effective at changing the frequency with which children brush their teeth.

Hint: Make sure you do After-Before.

Step 1. Express the substantive question as two statistical hypotheses.

H₀: Answer Answer Answer

H₁: Answer Answer Answer

Step 2. Draw the sampling distribution under the null hypothesis using the p < .05 as the criterion for statistical significance to determine the critical values.

What is the center of the distribution? Answer Answer Answer

What are the critical values? ± Answer 3 decimal places

Step 3.

Report all values (excluding critical values) to TWO decimal places.

Report actual p-value to THREE decimal places.

M_D	Answer
Actual p-value	Answer
n_D	Answer
df_D	Answer

SE_D = Answer

t_obs = Answer

What can we say about the t_obs in relation to the p-value and significance?

p Answer .05
Our observation Answer statistically significant. We Answer.

95% CI around mean difference = (Answer , Answer)

What can we say about the CI in relation to the center of the distribution and significance?

The 95% CI Answer include zero.
Our observation Answer statistically significant. We Answer.

d_z = Answer

Step 4. Write an APA conclusion using your by-hand work.

Report all values to TWO decimal places.

On average, compared to before watching a dental film, children brush their teeth Answer times per month after watching a dental film (M_D = Answer; SD_D = 1.85). A Answer showed that the mean difference Answer statistically significant, (t (Answer) = Answer , p Answer Answer). Also, the 95% CI around the mean difference Answer include zero, (Answer , Answer). The d-effect size indicated there was a Answer treatment effect (d_z = Answer).

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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