Data Analysis and Interpretation (1)

Consider the data set of the Quality of life and psychological adjustments. Consider the data set as a population data set (Not a sample).

1. Describe the survey variables numerically using descriptive statistics in SPSSS.
2. Explore Total Self Esteem Scale by Sex, Highest Education Level Completed and source of stress separately
3. Compute the μ, and σ for the Total Optimism Scale.
4. Discuss and give the sampling distribution of for a random sample of 16participants selected from the given population. Assume the population is Normal.

1. Find the probability that will be more than 8.2 AED [P ( ≤21.8 )]
2. Find the probability that X will be more than 8.2 AED [P (X ≤21.8 )]
3. Which result you trust more? explain

1. Select a simple random sample of size 5 for the Total Optimism Scale and consider it as a population. Consider all possible samples of size 2 from that population(with replacement). There will be 32 samples of size 2.

1. Compute the means of all possible samples of size 2.
2. Construct the frequency and relative frequency distribution of the sample means
3. Compute the mean of all sample means and the variance of all sample means .
4. Check your answer in questions c) with

1. Use Excel or any Statistical Package to select 5 simple random samples of 25 subjects and find the Total Optimism Scale mean for each sample.Construct and interpreta 90% confidence interval for μ, the Total Optimism Scale population mean, for each of the 5random samples selected. Assume that the population is normally distributed with known σ as calculated in (3). Which confidence intervals contain the population mean μ of Total Optimism Scale obtained in (3)?
2. Repeat (6) with a 95% confidence level. Comment on your findings.
3. Select a random sample of size 36 from the given population for the Total Optimism Scale. At 5% significance level, Can you conclude that the population mean μ for the Total Optimism Scale is less than 21.5?

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