Mental measurements of young children are often made by giving them blocks and telling them to build a tower as tall as possible. One experiment of block building was repeated a month later, with the times (in seconds) listed in the accompanying table (based on data from "Tower Building", by Johnson and Courtney, Child Development, Vol.3). The previous experiment shows that the times are normally distributed. Use a 0.01 level of significance to test the claim that there is no difference between the two times. Child First Trial Second Trial 30 6 14 8 14 52 14 | 22 17 8 11 A BCDEFGH IJK LMNO | 30 19 19 23 29 178 42 20 12 39 14 81 17 31 52 30 14 17 15 Solve first for the mean and standard deviation first. Use the standard deviation formula with n-1 as the denominator. a. Claim (in symbolic form): Ho: На: b. level of significance: c. Decision Rule: Reject Ho if, test-statistic: tail of distribution: d.Computation e. Decision (Reject Ho or Failed to reject Ho) f. Conclusion

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Mental measurements of young children are often made by giving them blocks and telling them to build a tower as
tall as possible. One experiment of block building was repeated a month later, with the times (in seconds) listed in
the accompanying table (based on data from "Tower Building", by Johnson and Courtney, Child Development,
Vol.3). The previous experiment shows that the times are normally distributed. Use a 0.01 level of
significance to test the claim that there is no difference between the two times.
A BCDEF
30 19 19 23 29 178 42 20 12 39
GH
KL
14 81 17 31
Child
M
First Trial
Second Trial 30| 6 14 | 8
52
14
52
14 22
17
8
11
30
14
17
15
Solve first for the mean and standard deviation first. Use the standard deviation formula with n-1 as the
denominator.
a. Claim (in symbolic form):
Ho:
На:
b. level of significance:
c. Decision Rule: Reject Ho if,
test-statistic:
tail of distribution:_
d.Computation
e Decision (Reject Ho or Failed to reject Ho)
f. Conclusion
Transcribed Image Text:Mental measurements of young children are often made by giving them blocks and telling them to build a tower as tall as possible. One experiment of block building was repeated a month later, with the times (in seconds) listed in the accompanying table (based on data from "Tower Building", by Johnson and Courtney, Child Development, Vol.3). The previous experiment shows that the times are normally distributed. Use a 0.01 level of significance to test the claim that there is no difference between the two times. A BCDEF 30 19 19 23 29 178 42 20 12 39 GH KL 14 81 17 31 Child M First Trial Second Trial 30| 6 14 | 8 52 14 52 14 22 17 8 11 30 14 17 15 Solve first for the mean and standard deviation first. Use the standard deviation formula with n-1 as the denominator. a. Claim (in symbolic form): Ho: На: b. level of significance: c. Decision Rule: Reject Ho if, test-statistic: tail of distribution:_ d.Computation e Decision (Reject Ho or Failed to reject Ho) f. Conclusion
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