Q1.1 Conditions A study explores weight changes in high school students during the pandemic. Let X = change in weight (positive means weight gain). For a sample of n = 19 teens, the changes in weight during the study were: -8, -6, -6, -4, -3, 0, 3, 6, 6, 8, 10, 11, 13, 13, 14, 14, 15, 16, 16 with x = 6.21 lbs and s-8.37 lbs Hypotheses: Hoμ = 0 (The average change is zero) Ha 0 (The average change is not zero) Where μ = mean change in weight for all high school students during the pandemic Conditions We will assume that this is a random sample and it seems likely that 19 is less than 10% of the population of high school students. On your own paper, use a dotplot and explain how the sample data indicates that it is reasonable to assume that the population weight change is approximately normal. Take a picture of your work and upload it where indicated. (After upload, make sure that the orientation is appropriate!) Please select file(s) Select file(s) Save Answer Q1.2 Mechanics Mechanics Because the population standard deviation is unknown, we must use a t-procedure. In the space below write the formula for the t-statistic with appropriate values in place of all variables. Then use your calculator test menu to find the ultimate value of t and the associated P-value. Save Answer Q1.3 Decision Linked in Context Make your decision linked in context (use alpha = 1%): Save Answer Q1.4 95% Confidence Interval Use your calculator to find a 99% confidence interval to estimate the mean change in weight and write the interval in the space below. (All you have to write is the interval!)

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Q1.1 Conditions
A study explores weight changes in high school students during the pandemic.
Let X = change in weight (positive means weight gain).
For a sample of n = 19 teens, the changes in weight during the study were:
-8, -6, -6, -4, -3, 0, 3, 6, 6, 8, 10, 11, 13, 13, 14, 14, 15, 16, 16
with x=6.21 lbs and s-8.37 lbs
Hypotheses:
Hoμ = 0 (The average change is zero)
Ha μ0 (The average change is not zero)
Where μ = mean change in weight for all high school students during the pandemic
Conditions
We will assume that this is a random sample and it seems likely that 19 is less than 10% of the
population of high school students. On your own paper, use a dotplot and explain how the sample
data indicates that it is reasonable to assume that the population weight change is approximately
normal. Take a picture of your work and upload it where indicated. (After upload, make sure that
the orientation is appropriate!)
Please select file(s) Select file(s)
Save Answer
Q1.2 Mechanics
Mechanics
Because the population standard deviation is unknown, we must use a t-procedure. In the space
below write the formula for the t-statistic with appropriate values in place of all variables. Then use
your calculator test menu to find the ultimate value of t and the associated P-value.
Save Answer
Q1.3 Decision Linked in Context
Make your decision linked in context (use alpha = 1%):
Save Answer
Q1.4 95% Confidence Interval
Use your calculator to find a 99% confidence interval to estimate the mean change in weight and
write the interval in the space below. (All you have to write is the interval!)
Transcribed Image Text:Q1.1 Conditions A study explores weight changes in high school students during the pandemic. Let X = change in weight (positive means weight gain). For a sample of n = 19 teens, the changes in weight during the study were: -8, -6, -6, -4, -3, 0, 3, 6, 6, 8, 10, 11, 13, 13, 14, 14, 15, 16, 16 with x=6.21 lbs and s-8.37 lbs Hypotheses: Hoμ = 0 (The average change is zero) Ha μ0 (The average change is not zero) Where μ = mean change in weight for all high school students during the pandemic Conditions We will assume that this is a random sample and it seems likely that 19 is less than 10% of the population of high school students. On your own paper, use a dotplot and explain how the sample data indicates that it is reasonable to assume that the population weight change is approximately normal. Take a picture of your work and upload it where indicated. (After upload, make sure that the orientation is appropriate!) Please select file(s) Select file(s) Save Answer Q1.2 Mechanics Mechanics Because the population standard deviation is unknown, we must use a t-procedure. In the space below write the formula for the t-statistic with appropriate values in place of all variables. Then use your calculator test menu to find the ultimate value of t and the associated P-value. Save Answer Q1.3 Decision Linked in Context Make your decision linked in context (use alpha = 1%): Save Answer Q1.4 95% Confidence Interval Use your calculator to find a 99% confidence interval to estimate the mean change in weight and write the interval in the space below. (All you have to write is the interval!)
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