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At the 0.05 level of significance, can we conclude (by using a sign test) that the median attention span for children playing with this toy is greater than 30 minutes?

At the 0.05 level of significance, can we conclude (by using a sign test) that the median attention span for children playing with this toy is greater than 30 minutes?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A toy manufacturer claims that the median amount of time that their top selling toy captures children's attention is greater than 30 minutes. To test this, a random sample of 19 children is selected and their attention span (in minutes) while playing with this toy is recorded, as shown below. esc 40.9, 34.8, 33.4, 35.2, 39.9, 36.5, 37.3, 40.2, 38.6, 36.4, 33.8, 30.0, 38.0, 40.9, 37.3, 31.2, 25.2, 38.0, 30.0 Send data to calculator At the 0.05 level of significance, can we conclude (by using a sign test) that the median attention span for children playing with this toy is greater than 30 minutes? Perform this hypothesis test by completing the parts below. (If necessary, consult a table with critical values for the sign test.) (a) Find the value of the test statistic. V (b) Find the critical value. (c) Give the decision. (Choose one) (d) Can we conclude that the median attention span for children playing with this toy is greater than 30 minutes? Yes No I Don't Know F1 Submit F2 80 F3 F4 F5 X. Ś MacBook Air F6 F7 F8 F9 F10
Transcribed Image Text:A toy manufacturer claims that the median amount of time that their top selling toy captures children's attention is greater than 30 minutes. To test this, a random sample of 19 children is selected and their attention span (in minutes) while playing with this toy is recorded, as shown below. esc 40.9, 34.8, 33.4, 35.2, 39.9, 36.5, 37.3, 40.2, 38.6, 36.4, 33.8, 30.0, 38.0, 40.9, 37.3, 31.2, 25.2, 38.0, 30.0 Send data to calculator At the 0.05 level of significance, can we conclude (by using a sign test) that the median attention span for children playing with this toy is greater than 30 minutes? Perform this hypothesis test by completing the parts below. (If necessary, consult a table with critical values for the sign test.) (a) Find the value of the test statistic. V (b) Find the critical value. (c) Give the decision. (Choose one) (d) Can we conclude that the median attention span for children playing with this toy is greater than 30 minutes? Yes No I Don't Know F1 Submit F2 80 F3 F4 F5 X. Ś MacBook Air F6 F7 F8 F9 F10
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