Asked by Mehul Mundhada on Jul 11, 2024
Verified
A researcher was interested in examining the difference in the number of hours of sleep married women and single women get each night.Five married women and five single women reported their average number of hours of sleep per night for the last week.Shown below is software output for two possible tests for the data.
Paired t-test of μ(1-2)
Test Ho: μ(S - M)= 0 vs HA: μ(S - M)≠ 0
Mean of Paired Differences = 1.6 t-Statistic = 4 w/4 df
p = 0.0161
2-Sample t-Test of μ1 - μ2
Ho: μS - μM = 0 Ha: μS - μM ≠ 0
Test H0: μ(S)- μ(M)= 0 vs HA: μ(S)- μ(M)≠ 0
Difference Between Means = 1.6 t-Statistic = 1.8353 w/7.27 df
p = 0.1075
Which of these tests is appropriate for these data? Explain.Using the test you select,state your conclusion.
Hours Of Sleep
A measure of the duration of sleep obtained by an individual in a 24-hour period, crucial for physical and mental health.
Married Women
Females who are legally united to a spouse through the institution of marriage.
Single Women
Refer to individuals who are female and not currently married or in a marital-equivalent relationship.
- Differentiate between matched pairs and non-related samples, and choose the suitable statistical analysis technique.
- Analyze the outcomes of statistical evaluations, encompassing confidence intervals and hypothesis testing, within the framework of the inquiry.
Verified Answer
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Annierys DominguezJul 12, 2024
Final Answer :
The 2-sample t-test is appropriate since the married and single women are independent of each other.There is no natural pairing between the two groups.According to the 2-sample t-test,there does not appear to be a significant difference (P-value 0.1075)in the amount of sleep between married and single women.
Learning Objectives
- Differentiate between matched pairs and non-related samples, and choose the suitable statistical analysis technique.
- Analyze the outcomes of statistical evaluations, encompassing confidence intervals and hypothesis testing, within the framework of the inquiry.
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