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# (Solved): could you plz solve all these questions  Drag the orange flag left or right to change the $$\m ... could you plz solve all these questions Drag the orange flag left or right to change the \( \mathrm{t}$$-value. Alternatively, enter the t-value in the box and click enter. t-value: The area to the left of the $$t$$ value is: $$0.2500$$ The area to the right of the $$t$$ value is: $$0.7500$$ How Much Are College Students Sleeping? Scenario: Americans average $$6.9$$ hours of sleep on weeknights, according to a report released in 2011 by the National Sleep Foundation. A student in a statistics class at Los Medanos College (LMC) wondered if the average amount of sleep on weeknights is different for LMC students. She plans to test her hypotheses at a $$5 \%$$ level of significance. She collects data from a survey of 43 randomly selected students at LMC. Respondents averaged $$7.12$$ hours of sleep a night with a standard deviation of $$1.45$$ hours. Question 1 1 pts What are the null and alternative hypotheses? Use $$\mu=$$ mean hours of sleep for $$L M C$$ students. $$\left(H_{0}: \mu=7.12\right)$$ and $$\left(H_{a}: \mu<7.12\right)$$ $$\left(H_{0}: \mu=6.9\right)$$ and $$\left(H_{a}: \mu<6.9\right)$$ $$\left(H_{0}: \mu=6.9\right)$$ and $$\left(H_{a}: \mu \neq 6.9\right)$$ $$\left(H_{0}: \mu=7.12\right)$$ and $$\left(H_{a}: \mu>6.9\right)$$ Here is the distribution of average hours of sleep on weeknights for the 43 students in the sample. The conditions are met for use of the T-model to represent the distribution of sample means. Check all of the options that are relevant to checking conditions for this scenario. the sample was randomly selected. The sample size was greater than 30 . The variable is normally distributed in the population. the variable is not heavily skewed in the sample What is the estimated standard error for the distribution of sample means for this scenario? Round your answer to 2 decimal places Question 4 1 pts What is the T-score for the observed random sample? Use the standard error rounded to 2 decimal places. Enter T rounded to 2 decimal places. Question 5 1 pts What is the P-value? Round to 3 decimal places Which conclusions are supported by the P-value? Check all that are valid. The data from this study does not suggest that the amount of sleep for LMC students differs from the national average of $$6.9$$ hours. This sample of LMC students sleep on average $$7.12$$ hours, but the difference between this and the hypothesized population mean of $$6.9$$ hours is not statistically significant and could be explained by predictable variation that occurs in random sampling. The data from this sample provides strong evidence that the average amount of sleep on a weeknight for LMC students differs from the national average of $$6.9$$ hours. The difference between the $$7.12$$ sleep hours for LMC student average and the $$6.9$$ hours for the national average is statistically significant. Fail to reject the null hypothesis Reject the null hypothesis and accept the alternative. Accept the null hypothesis

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