Alyse is a 6-year-old that doesn't like to go to bed at night. When she doesn't get enough sleep she is cranky the next morning. If she gets too much sleep she becomes lethargic. Her mom thinks the perfect amount of time that she needs is 9 hours of sleep. To validate this thought she selects a random sample of 12 mornings in which Alyse is “just right" and records how much sleep she got. A graph of the data is roughly symmetric with no outliers. The 95% confidence interval for the true mean number of hours of sleep that Alyse needs is 9.50 to 10.25 hours. What conclusion would you make for a test at the a = 0.05 significance level of Ho : µ = 9 versus Ha : µ # 9, where u is the true mean amount of sleep that Alyse needs? Because the null value of 9 is captured by the 95% confidence interval, we would fail to reject H, : µ = 9 at the a = 0.05 significance level. Because the null value of 9 is not captured by the 95% confidence interval, we would reject Họ : µ = 9 at the a = 0.05 significance level. Because the null value of 9 is not captured by the 95% confidence interval, we would fail to reject Ho : µ = 9 at the a = 0.05 significance level. Because the null value of 9 is captured by the 95% confidence interval, we would reject Ho : µ = 9 at the a = 0.05 significance level.
Alyse is a 6-year-old that doesn't like to go to bed at night. When she doesn't get enough sleep she is cranky the next morning. If she gets too much sleep she becomes lethargic. Her mom thinks the perfect amount of time that she needs is 9 hours of sleep. To validate this thought she selects a random sample of 12 mornings in which Alyse is “just right" and records how much sleep she got. A graph of the data is roughly symmetric with no outliers. The 95% confidence interval for the true mean number of hours of sleep that Alyse needs is 9.50 to 10.25 hours. What conclusion would you make for a test at the a = 0.05 significance level of Ho : µ = 9 versus Ha : µ # 9, where u is the true mean amount of sleep that Alyse needs? Because the null value of 9 is captured by the 95% confidence interval, we would fail to reject H, : µ = 9 at the a = 0.05 significance level. Because the null value of 9 is not captured by the 95% confidence interval, we would reject Họ : µ = 9 at the a = 0.05 significance level. Because the null value of 9 is not captured by the 95% confidence interval, we would fail to reject Ho : µ = 9 at the a = 0.05 significance level. Because the null value of 9 is captured by the 95% confidence interval, we would reject Ho : µ = 9 at the a = 0.05 significance level.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Transcribed Image Text:Alyse is a 6-year-old that doesn't like to go to bed at night. When she doesn't get enough sleep she is cranky the next morning. If
she gets too much sleep she becomes lethargic. Her mom thinks the perfect amount of time that she needs is 9 hours of sleep. To
validate this thought she selects a random sample of 12 mornings in which Alyse is "just right" and records how much sleep she
got.
A graph of the data is roughly symmetric with no outliers. The 95% confidence interval for the true mean number of hours of
sleep that Alyse needs is 9.50 to 10.25 hours.
What conclusion would you make for a test at the a = 0.05 significance level of Ho : µ = 9 versus Ha : µ # 9, where u is
the true mean amount of sleep that Alyse needs?
Because the null value of 9 is captured by the 95% confidence interval, we would fail to reject Ho : µ = 9 at the
a = 0.05 significance level.
Because the null value of 9 is not captured by the 95% confidence interval, we would reject Ho : µ = 9 at the a = 0.05
significance level.
Because the null value of 9 is not captured by the 95% confidence interval, we would fail to reject Ho : u = 9 at the
a = 0.05 significance level.
Because the null value of 9 is captured by the 95% confidence interval, we would reject Ho : µ = 9 at the a = 0.05
significance level.
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