A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision to the approval ratings after the decision. If we let d=approval rating after−approval rating before, based on the data below, what are the test statistic and degrees of freedom of an appropriate hypothesis test? Assume that the approval ratings are normally distributed. Round the test statistic to three decimal places.Approval Rating Before (percent)Approval Rating After (percent)58.956.254.752.152.149.650.249.354.354.150.748.661.254.749.646.1Provide your answer below: t= , df= A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test thisclaim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decisionto the approval ratings after the decision. If we let d approval rating after - approval rating before, based on thedata below, what are the test statistic and degrees of freedom of an appropriate hypothesis test? Assume that the approvalratings are normally distributed. Round the test statistic to three decimal places.Approval Rating Before(percent)Approval Rating After(percent)56.258.954.752.152.149.650.249.354.154.350.748.661.254.746.149.6Provide your answer below:,df =

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Description: A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the d

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A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision to the approval ratings after the decision. If we let d=approval rating after−approval rating before, based on the data below, what are the test statistic and degrees of freedom of an appropriate hypothesis test? Assume that the approval ratings are normally distributed. Round the test statistic to three decimal places.

Approval Rating Before (percent)	Approval Rating After (percent)
58.9	56.2
54.7	52.1
52.1	49.6
50.2	49.3
54.3	54.1
50.7	48.6
61.2	54.7
49.6	46.1

Provide your answer below:

t= , df=

A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this
claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision
to the approval ratings after the decision. If we let d approval rating after - approval rating before, based on the
data below, what are the test statistic and degrees of freedom of an appropriate hypothesis test? Assume that the approval
ratings are normally distributed. Round the test statistic to three decimal places.
Approval Rating Before
(percent)
Approval Rating After
(percent)
56.2
58.9
54.7
52.1
52.1
49.6
50.2
49.3
54.1
54.3
50.7
48.6
61.2
54.7
46.1
49.6
Provide your answer below:
,df =

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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