# A survey was conducted about enrolment of children in nurseries to study the relationship

August 30, 2017

Question
A survey was conducted about enrolment of children in nurseries to study the relationship, if any, between the satisfaction of learning, the type of the nursery and the parents income. On the survey, respondents were asked to specify one of three levels of the parents years income: low (40,000 and 55,000), and their satisfaction of the learning of their children. The complete data set, consisting of 135 observations, is stored in the Excel file Case_Study_2015.xlsx. Please download the file.

Case Study Questions: answer ALL of the following questions to help the researcher preparing his report.

1.Use descriptive statistics to summarize the data.
2.Construct a 95% confidence interval for the difference between the means of Learning in September and in May.
3.Construct a 95% confidence intervals of the mean Learning (in September and in May) for CPE nursery.
4.Is there any significant difference of the mean of Learning due to nursery? Use a 0.05 level of significance
5.Construct a 95% confidence interval estimate for the mean of Learning difference for CPE nursery and F nursery.
6.Explain how your conclusion in part 4 can be derived from part 5.
7.Is there any significant difference of the mean of Learning due to income levels? Use a 0.05 level of significance.
8.Give point estimates for the proportion of nurseries according to their type.
9.Is there a difference between the proportions of CPE between Low and High income? Use a 0.05 level of significance.
10.Construct a 95% confidence interval of the difference in proportion of CPE nurseries between Low and High income.
11.Is the nursery type dependent (related to) on the income level? Use a 0.05 level of significance.
12.Is the satisfaction dependent (related to) on the income level? Use a 0.05 level of significance.

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