The research examining the effects of preschool childcare has found that children who spent time in daycare perform better on math and language tests than children who stay home with their mothers. The results show that a sample of n = 25 children who attended daycare before starting school had an average score of M = 87 with SS = 1536 on a standardized math test for which the population mean is μ = 81. The population distribution is normal. Use α= .01   a. Is this sample sufficient to conclude that the children with a history of preschool daycare are significantly better from the general population?  b. Compute the 95% confidence interval.  show all work

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The research examining the effects of preschool childcare has found that children who spent time in daycare perform better on math and language tests than children who stay home with their mothers. The results show that a sample of n = 25 children who attended daycare before starting school had an average score of M = 87 with SS = 1536 on a standardized math test for which the population mean is μ = 81. The population distribution is normal. Use α= .01
 
a. Is this sample sufficient to conclude that the children with a history of preschool daycare are significantly better from the general population? 
b. Compute the 95% confidence interval. 
show all work 
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