A researcher is testing the effect preschool has on the development of children – are children who spend more time away from their mothers more or less likely to show developmental problems in kindergarten? Using a standardized scale, the average rating of behavioral problems in kindergarten children is 36.6 with a standard deviation of 8. A random sample of 15 kindergarten children who had spent at least 20 hours per week in child care during the previous year young produced the scores shown in the data. Test at o.01 level of significance that children who spend more time away from their mothers are more likely to show developmental problems in kindergarten. 38 39 42 43 48 44 38 36 42 37 36 47 48 38 41

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State the random variable and the parameter in words for the question.

A researcher is exploring the impact of preschool on young children's development, specifically questioning whether children who spend more time away from their mothers are more or less likely to exhibit developmental problems in kindergarten. The study utilizes a standardized scale, where the average rating of behavioral problems in kindergarten children is 36.6, with a standard deviation of 8. 

A random sample of 15 kindergarten children, who spent at least 20 hours per week in child care during the previous year, produced the following scores:

38, 39, 42, 43, 48, 44, 38, 36, 42, 37, 36, 47, 48, 38, 41

The study is conducted at a 0.01 level of significance to test the hypothesis that children spending more time away from their mothers are more prone to develop behavioral issues in kindergarten.
Transcribed Image Text:A researcher is exploring the impact of preschool on young children's development, specifically questioning whether children who spend more time away from their mothers are more or less likely to exhibit developmental problems in kindergarten. The study utilizes a standardized scale, where the average rating of behavioral problems in kindergarten children is 36.6, with a standard deviation of 8. A random sample of 15 kindergarten children, who spent at least 20 hours per week in child care during the previous year, produced the following scores: 38, 39, 42, 43, 48, 44, 38, 36, 42, 37, 36, 47, 48, 38, 41 The study is conducted at a 0.01 level of significance to test the hypothesis that children spending more time away from their mothers are more prone to develop behavioral issues in kindergarten.
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