Question

A group of 42 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.

The group of 42 students in the study reported an average of 5.31 drinks per with a standard deviation of 3.93 drinks.

Find the p-value for the hypothesis test.

Answer #1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H_{0} :
= 4.73

H_{a} :
4.73

= 5.31

= 4.73

= 3.93

n = 42

Test statistic = z

= ( - ) / / n

= (5.31 - 4.73) / 3.93 / 42

= 1.12

Test statistic = 1.12

P(z > 1.12) = 1 - P(z < 1.12) = 1 - 0.8686 = 0.1314

P-value = 2 * 0.1314 = 0.2628

The p-value for the hypothesis test is 0.2628 .

A group of 42 college students from a certain liberal arts
college were randomly sampled and asked about the number of
alcoholic drinks they have in a typical week. The purpose of this
study was to compare the drinking habits of the students at the
college to the drinking habits of college students in general. In
particular, the dean of students, who initiated this study, would
like to check whether the mean number of alcoholic drinks that
students at his...

A group of 52 college students from a certain liberal arts
college were randomly sampled and asked about the number of
alcoholic drinks they have in a typical week. The purpose of this
study was to compare the drinking habits of the students at the
college to the drinking habits of college students in general. In
particular, the dean of students, who initiated this study, would
like to check whether the mean number of alcoholic drinks that
students at his...

A group of 41 college students from a certain liberal arts
college were randomly sampled and asked about the number of
alcoholic drinks they have in a typical week. The purpose of this
study was to compare the drinking habits of the students at the
college to the drinking habits of college students in general. In
particular, the dean of students, who initiated this study, would
like to check whether the mean number of alcoholic drinks that
students at his...

A group of 53 college
students from a certain liberal arts college were randomly sampled
and asked about the number of alcoholic drinks they have in a
typical week. The purpose of this study was to compare the drinking
habits of the students at the college to the drinking habits of
college students in general. In particular, the dean of students,
who initiated this study, would like to check whether the mean
number of alcoholic drinks that students at his...

A group of 53 college students from a certain liberal arts
college were randomly sampled and asked about the number of
alcoholic drinks they have in a typical week. The purpose of this
study was to compare the drinking habits of the students at the
college to the drinking habits of college students in general. In
particular, the dean of students, who initiated this study, would
like to check whether the mean number of alcoholic drinks that
students at his...

A group of 71 college students from a certain liberal arts
college were randomly sampled and asked about the number of
alcoholic drinks they have in a typical week. The purpose of this
study was to compare the drinking habits of the students at the
college to the drinking habits of college students in general. In
particular, the dean of students, who initiated this study, would
like to check whether the mean number of alcoholic drinks that
students at his...

According to the website www.collegedrinkingprevention.gov,
“About 25 percent of college students report academic consequences
of their drinking including missing class, falling behind, doing
poorly on exams or papers, and receiving lower grades overall.” A
statistics student is curious about drinking habits of students at
his college. He wants to estimate the mean number of alcoholic
drinks consumed each week by students at his college. He plans to
use a 90% confidence interval. He surveys a random sample of 62
students....

According to the website www.collegedrinkingprevention.gov,
“About 25 percent of college students report academic consequences
of their drinking including missing class, falling behind, doing
poorly on exams or papers, and receiving lower grades overall.” A
statistics student is curious about drinking habits of students at
his college. He wants to estimate the mean number of alcoholic
drinks consumed each week by students at his college. He plans to
use a 90% confidence interval. He surveys a random sample of 65
students....

According to the website www.collegedrinkingprevention.gov,
“About 25 percent of college students report academic consequences
of their drinking including missing class, falling behind, doing
poorly on exams or papers, and receiving lower grades overall.” A
statistics student is curious about drinking habits of students at
his college. He wants to estimate the mean number of alcoholic
drinks consumed each week by students at his college. He plans to
use a 95% confidence interval. He surveys a random sample of 60
students....

According to the website www.collegedrinkingprevention.gov,
“About 25 percent of college students report academic consequences
of their drinking including missing class, falling behind, doing
poorly on exams or papers, and receiving lower grades overall.” A
statistics student is curious about drinking habits of students at
his college. He wants to estimate the mean number of alcoholic
drinks consumed each week by students at his college. He plans to
use a 90% confidence interval. He surveys a random sample of 62
students....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 5 minutes ago

asked 9 minutes ago

asked 15 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago