Question

During a given year, high school students earned a mean of $1359. Assume that a sample consisting of 45 students at a school was found to have earned a mean of $1382 with a standard deviation of $210. Would a hypothesis test at the 0.01 significance level suggest that the average earnings of this school were significantly higher than the national mean? Formulate the alternative and null hypotheses and do the necessary steps for hypothesis testing. Use critical values to obtain a conclusion.

Answer #1

A researcher claims that high-school students exercise an
average (mean) of 8 hours per week. (You think that the number is
actually higher.) From a sample of 40 students, you find a mean of
9 hours with a sample standard deviation of 1 hour. Conduct a
hypothesis test using a 5% significance level.
a) What are the null and alternative hypotheses?
b) What is the test statistic?
c) What is the p-value?
d) Do your reject the null hypothesis? Explain...

E-Cigs According to the Centers for Disease Control and
Prevention, 2.8% of high school students currently use electronic
cigarettes. A high school counselor is concerned the use of e-cigs
at her school is higher.
(a) Determine the null and alternative hypotheses.
(b) If the sample data indicate that the null hypothesis should
not be rejected, state the conclusion of the school counselor.
(c) Suppose, in fact, that the proportion of students at the
counselor’s high school who use electronic cigarettes...

Is it true that the mean age of students at North Campus is 25
year old? In a survey of 70 students at North Campus, the sample
mean age was found to be 24.96, with a standard deviation s = 8.04.
Using a .03 significance level, test the claim that mean age of
students at North Campus is equal to 25. Show all steps in the
hypothesis testing procedure. Clearly enumerate the null and
alternative hypotheses. Show calculation of test...

A standardized test for high school students is given to a
random sample of 16 students. The average time required to finish
the test for the students in the sample is recorded as 48 minutes
with a standard deviation of 6 minutes. We want to evaluate the
null hypothesis that the time required to finish the test for the
whole population of high school students is at most 45 minutes on
average.

A random sample of 100 students at a high school was asked
whether they would ask their father or mother for help with a
financial problem. A second sample of 100 different students was
asked the same question regarding a dating problem. If 43 students
in the first sample and 47 students in the second sample replied
that they turned to their mother rather than their father for help,
test the hypothesis of no difference in the proportions. Use α...

A random sample of 100 students at a high school was asked
whether they would ask their father or mother for
help with a financial problem. A second sample of 100 different
students was asked the same question
regarding a dating problem. If 43 students in the first sample and
47 students in the second sample replied that
they turned to their mother rather than their father for help, test
the hypothesis of no difference in the
proportions. Use α...

Solve in steps
The mean yearly salary for high school teachers in Texas is
$48,723. Suppose that a random sample of 50 teachers in a specific
district has a mean offer of $49,840 and a standard deviation of
$3700. Do the sample data provide strong support for the claim that
mean salary for the district is higher than the state average? Test
the relevant hypotheses using a = 0.05
Step 1: Null Hypothesis and Alternative Hypothesis
Step 2: Value for...

Five years? ago, 10.3?% of high school students had tried
marijuana for the first time before the age of 13. A school
resource officer? (SRO) thinks that the proportion of high school
students who have tried marijuana for the first time before the age
of 13 has increased since then. ?(a) Determine the null and
alternative hypotheses. Which of the following is? correct? A.
Upper H 0?: pequals0.103?; Upper H 1?: pgreater than0.103 B. Upper
H 0?: pequals0.103?; Upper H...

5. Teaching Methods in a High School A high school language
course is given in two sections, each using a different teaching
method. The first section has 21 students, and the grades in that
section have a mean of 82.6 and a standard deviation of 8.6. In the
second section, with 43 students, the mean of the grades is 85.2,
with a standard deviation of 7.9. At alpha=0.05, test the
hypothesis that the method used in second section is more...

Hypothesis Tests with Z-statistics
The mean for the SATs for all high school students was 500, with
a standard deviation of 100. 75 students from Rio Hondo were tested
and they produced a mean of 510.
a. Who are the groups being compared/tested?
b. What are the null and research hypotheses?
c. what are the numbers needed for the z statistic?
d. What is the z statistic?
e. For a two tailed test at .05 significance, the critical area is...

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