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A researcher believes that single people and married people perceive their work life balance differently because of their relationship status. She sets out to assess

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A researcher believes that single people and married people perceive their work life balance differently because of their relationship status. She sets out to assess the data from a recent survey. Both single individuals and married individuals are asked to rate their overall satisfaction with their current work life balance from 1 - 10, where 1 is very low and 10 is high. The results are presented here: Single Married Mean 6.9 4.8 Sample size 10 10 Variance 2.9 3.3 Assuming that the populations are normally distributed and demonstrate homogeneity of variance, the researcher uses a t test to determine if there is a significant difference between the two groups. She believes that the scores of single people will be significantly higher than that of married people for work-balance satisfaction, and thus conducts a one-tail hypothesis test. The researchers would use the following hypotheses: Null hypothesis, Ho to be u(single) - u(married) = 0 Alternative hypothesis, H1 to be u(single) - u(married ) > 0 Please conduct a t test to determine whether there is a difference between these two independent means. Please determine the following values: pooled variance = [ Select ] standard error = [ Select ] The t statistic is t = [ Select ] Using an alpha level of 0.05, the researcher would [ Select ] the null hypothesis, concluding that there is [ Select ] difference between single and married individuals

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