The average American consumes 93 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 12 randomly selected college students and found that they averaged 100.5 liters of alcohol consumed per year with a standard deviation of 22 liters. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: μ = + 93 H₁: u+ + 93 c. The test statistic t = 1.181 ✓(please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is s a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 93 at a = 0.10, so there is statistically significant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 93 liters per year. The data suggest the population mean is not significantly more than 93 at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 93 liters per year. The data suggest that the population mean amount of alcohol consumed by college students is not significantly more than 93 liters per year at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 93 liters per year.
The average American consumes 93 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 12 randomly selected college students and found that they averaged 100.5 liters of alcohol consumed per year with a standard deviation of 22 liters. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: μ = + 93 H₁: u+ + 93 c. The test statistic t = 1.181 ✓(please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is s a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 93 at a = 0.10, so there is statistically significant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 93 liters per year. The data suggest the population mean is not significantly more than 93 at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 93 liters per year. The data suggest that the population mean amount of alcohol consumed by college students is not significantly more than 93 liters per year at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 93 liters per year.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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Transcribed Image Text:The average American consumes 93 liters of alcohol per year. Does the average college student consume more
alcohol per year? A researcher surveyed 12 randomly selected college students and found that they averaged
100.5 liters of alcohol consumed per year with a standard deviation of 22 liters. What can be concluded at the
the a = 0.10 level of significance?
◆
a. For this study, we should use t-test for a population mean
b. The null and alternative hypotheses would be:
Ho: με
+
=
93
H₁:
93
c. The test statistic
t ♦
= 1.181 ✓(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
d. The p-value=
e. The p-value is s
α
f. Based on this, we should
Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
The data suggest the populaton mean is significantly more than 93 at a = 0.10, so there is
statistically significant evidence to conclude that the population mean amount of alcohol
consumed by college students is more than 93 liters per year.
The data suggest the population mean is not significantly more than 93 at a = 0.10, so there is
statistically insignificant evidence to conclude that the population mean amount of alcohol
consumed by college students is equal to 93 liters per year.
O The data suggest that the population mean amount of alcohol consumed by college students is
not significantly more than 93 liters per year at a = 0.10, so there is statistically insignificant
evidence to conclude that the population mean amount of alcohol consumed by college students
is more than 93 liters per year.
O
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