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Here is some information about the heights and weights of a random sample of 25 male students at a high school. Here are the scatter

Here is some information about the heights and weights of a random sample of 25 male students at a high school. Here are the scatter plot, the residual plot, a histogram of the residuals, and the regression analysis for the data we collected from them. Use this information to analyze the association between heights and weights. Use a 5% level of significance.

Perform a significance test and state your conclusion in context.

  • The population is the 25 male students who were measured- the parameter is the relationship between height and weight for the 25 male students at this school
  • The population is male students at this high school- the parameter is the relationship between height and weight for male students at this school

Ho:?

B =

=

p =

Ha:?

B

B >

B <

Choose the conditions which must be met:

  • n
  • 30
  • n30
  • or normal population.
  • n
  • p
  • 10
  • np10
  • Linear Scatterplot
  • Randomly Sampled
  • n
  • (
  • 1
  • p
  • )
  • 10
  • n(1-p)10
  • No pattern in residuals-randomly scattered about the line
  • n
  • (
  • 1
  • p
  • )
  • 10
  • n(1-p)10
  • Residuals approximately normal
  • n
  • (
  • p
  • )
  • 10
  • n(p)10
  • N
  • 10
  • n
  • N10n

  • Name the test:1 Prop. Z Test
  • Matched Pairs T Test
  • 1 Sample T Test
  • 2 Prop. Z Test
  • Chi Square GOF Test
  • Linear Regression T Test
  • Chi Square Independence
  • 2 Sample T Test

Test Statistict =

The P-value is

  • less than alpha
  • greater than alpha

  • Make a decision:Because our P-value is greater than alpha - we fail to reject the Ho.
  • Because our P-Value is less than alpha - we fail to reject the Ho.
  • Because our P-value is greater than alpha - we reject the Ho.
  • Because our P-value is less than alpha - we reject the Ho.

  • State the conclusion:We have enough evidence to say there is an association between height and weight in males at this school
  • We do not have enough evidence to say there is an assocaition between height and weight in males at this school

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