Using the data presented, answer the questions below. A researcher is interested if the number of pets people own (the \( x \)-variable) is related to their stress on a scale of 0-60 (the \( y \)-variable). Note: Please enter all values as numbers (1,2,3), not words (one, two). Please include at least three places after the decimal point in all your work and answers (where relevant), to avoid rounding error. A data table for \( X \) and \( Y \) variables \[ x=\text { pets } \quad y=\text { stress } \] Person 1 Person 2 1 50 Person 3 3 30 Person 4 3 60 Person 5 4 40 What is total N? \( \square \) - The mean for pets \( (\mathrm{x}): \hat{\mathrm{x}}=2.2 \) - What is the mean for stress \( (y): \bar{y}= \) \( \square \) - The standard deviation for stress \( (\mathrm{y}): \mathrm{S}_{\mathrm{y}}=11.402 \)
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Step 1: Determine the total number of observations (N) From the data provided, count the number of persons listed: - Person 1 - Person 2 - Person 3 - Person 4 - Person 5 Thus, the total number of observations (N) is 5. Show more…
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To examine the effects of pets and friends in stressful situations, researchers recruited 45 people to participate in an experiment. Fifteen of the subjects were randomly assigned to each of three groups to perform a stressful task alone (control group), with a good friend present, or with their dog present. Each subjects mean heart rate during the task was recorded. Higher heart rates mean more stress. Use an alpha of .05. Control n1 = 20 M1 = 97.65 s1 = 9.24 SS1 = 1622.17 Pets n2 = 15 M2 = 85.4 s2 = 6.54 SS2 = 598.8 Friends n3 = 20 M3 = 100.43 s3 = 11.81 SS3 = 2650.05 SSBetween = 2106.92 a) What are the hypotheses for this test? b) What is the critical value? c) Complete the necessary calculations (include post hocs if necessary). d) Report your results in APA style e) Interpret the results and include a source table.
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You are conducting a survey on the number of pets per household in your region. From a sample with $n=40,$ the mean number of pets per household is 2 pets and the standard deviation is 1 pet. Using Chebychev's Theorem, determine at least how many of the households have 0 to 4 pets.
Descriptive Statistics
Measures of Variation
ANOVA: To examine the effects of pets and friends in stressful situations, researchers recruited 45 people to participate in an experiment. Fifteen of the subjects were randomly assigned to each of three groups to perform a stressful task alone (control group), with a good friend present, or with their dog present. Each subject's mean heart rate during the task was recorded. Test the appropriate hypotheses at the 0.05 significance level to decide if the mean heart rate differs between the groups. Use the graph below and your statistical knowledge: n Mean Std.Dev. Control 15 82.52 9.24 Pets 15 73.48 9.97 Friends 15 91.325 8.34
Lien L.
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Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
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