Question

how did they come up with 12 for the test value? We want to test that, Ho:- The average annual 401k investment of employees at ABC, Inc. is equal to the average national 401k investment. Vs H1:- The average annual 401k investment of employees at ABC, Inc. is lower than the average national 401k investment. We can take l.o.s 1%,5%.,10%. But we will take 5% l.o.s. because it is neither too low nor too high. 2) a) In the output following value is the P value Sig. (2-tailed): .000 P value = 0.0000 b) P value can be calculated as : P(tn-1 > test value) =P( t0.05,299 > 12) From t table we will get PValue = 0.000 c) We reject Ho if P value < 0.05(L.o.s.) Here P value = 0.000 < 0.05 Therefore We reject Ho.at 5% L.o.s. We may conclude that the average annual 401k investment of employees at ABC, Inc. is lower than the average national 401k investment home / study / math / statistics and probability / statistics and probability questions and answers / employees in your organization have continually expressed interest in learning more about financial ... Question: Employees in your organization have continually expressed interest in learning more about financi... (1 bookmark) Employees in your organization have continually expressed interest in learning more about financial planning for retirement. In response to these requests, your organization’s executive leadership team has asked you to participate in an initiative to help educate employees. Given your experience with research and statistics, you have been asked to research current trends in 401k investments to help inform the initiative. According to your research findings, the average national 401k investment is 12%. For the purpose of this initiative, your goal is to determine how the 401k contributions of the employees in your organization compare to the national average. To accomplish this, you gather information from a single sample of employees (N = 300) in your organization to determine an average annual 401k investment. For this assignment, you will perform statistical hypothesis testing on a single sample of employees in your organization to determine how they compare to the national average. Use the following research hypothesis to guide your efforts: what is H0? ____________ H1: The average annual 401k investment of employees at ABC, Inc. is lower than the average national 401k investment. Assume the following: 1. The sample of annual 401k investment percentages from ABC, Inc. employees was randomly selected. 2. The variable, average annual 401k investment percentage, is measured at the interval-ratio level. 3. The sampling distribution of the mean will be approximately normal (N = 300). Complete each of the sections below. 1) State the Null Hypothesis and Select Alpha: (0.05? why? justify 0.05) __________________ One-Sample Statistics N = 300 Mean: 10.47 Std. Deviation: 5.912 Std. Error Mean: .341 One-Sample Test Test Value = 12 t: -4.480 df: 299 Sig. (2-tailed): .000 Mean Difference: -1.529 95% Confidence Interval of the Difference Lower: -2.2 Upper: -0.86

Answer #1

A report states that the mean yearly salary offer for students
graduating with mathematics and statistics degrees is $62,915.
Suppose that a random sample of 50 mathematics and statistics
graduates at a large university who received job offers resulted in
a mean offer of $63,600 and a standard deviation of $3,900. Do the
sample data provide strong support for the claim that the mean
salary offer for mathematics and statistics graduates of this
university is greater than the national average...

(7) A new drug is developed to treat headache, and we want to
compare its performance with an existing drug. The performance
measure here is the time from taking the drug to people start to
feel better. A random sample of volunteers were collected, in one
occasion of headache, these people use one of the drug, and then in
another occasion of headache (there is a long time between
occasions), these volunteers use the other drug. Assuming all
variables are...

Based on information from the Federal Highway Administration web
site, the average annual miles driven per vehicle in the United
States is 13.5 thousand miles. Assume σ ≈ 650 miles. Suppose that a
random sample of 36 vehicles owned by residents of Chicago showed
that the average mileage driven last year was 13.2 thousand miles.
Would this indicate that the average miles driven per vehicle in
Chicago is different from (higher or lower than) the national
average? Use a 0.05...

AM -vs- PM Height (Raw Data, Software
Required):
We want to test the claim that people are taller in the morning
than in the evening. Morning height and evening height were
measured for 30 randomly selected adults and the difference
(morning height) − (evening height) for each adult was recorded in
the table below. Use this data to test the claim that on
average people are taller in the morning than in the evening.
Test this claim at the 0.10...

One Sample t- test
SPSS Assignment %
For Questions 1 , includes all eight steps of Hypothesis
Testing
Assume that the mean number of violent acts in television shows
is 10.2 per episode ( this is a historical average and may be
treated as a population parameter). A random sample of shows from a
new network has the following number of acts of violence. The
question motivating this research is Does the number of acts of
violence from these new...

Quantitative Variable we are interested in comparing: #
of HR’s (Home Run’s)
American
League:
National League:
Sample Size:
28
Sample Size:
22
Sample Mean:
20.14286
Sample Mean:
18.77
Sample Standard
Deviation:
10.44107
Sample Standard
Deviation:
8.257
You are now going to do a two-sample hypothesis test on this
data
Hypothesis: I would expect an American League player to
hit more HR’s (Home Run’s) on average, than a National League
Player?
Introduction: State...

Quantitative Variable we are interested in comparing: #
of HR’s (Home Run’s)
American
League:
National League:
Sample Size:
28
Sample Size:
22
Sample Mean:
20.14286
Sample Mean:
18.77
Sample Standard
Deviation:
10.44107
Sample Standard
Deviation:
8.257
You are now going to do a two-sample hypothesis test on this
data
Hypothesis: I would expect an American League player to
hit more HR’s (Home Run’s) on average, than a National League
Player?
Introduction: State...

Use the P-value method to test the claim that for the adult
population of one town, the mean annual salary is $30,000. Sample
data are summarized as n = 17, = $22,300 and s =
$14,200. Use a significance level of α = 0.05. Is the
assumption correct?
State the requirement
State the null and alternative hypotheses with the correct
symbols
Write all the statistics
Write the formula of the test statistic and find the test
statistic (you may use...

1.Windy manger gives each of its employees an aptitude
test. The scores on the test are normally distributed with a mean
of 75 and a standard deviation of 12. A simple random sample of 144
is taken from an infinite population. What is the probability that
the average aptitude test in the sample will be between 72.5 and
77.5? (show all calculations; round to second decimal
place)
2.
A study found that, in year 2010, 59% of first-time,
full-time college...

AM -vs- PM Height (Raw Data, Software
Required):
We want to test the claim that people are taller in the morning
than in the evening. Morning height and evening height were
measured for 30 randomly selected adults and the difference
(morning height) − (evening height) for each adult was recorded in
the table below. Use this data to test the claim that on
average people are taller in the morning than in the evening.
Test this claim at the 0.01...

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