What is the would be the null and alternative hypothesis for the following seed germination findings. The research question is based on ffects of salinity on seed germination is an understanding of the optimal environment for crop growth.
Salt concentration 0.00% and Salt concentration 0.75%
salt concentration 0.00% |
salt concentration 0.75 |
|
Mean |
78.00 |
74.00 |
Standard Deviation |
14.83 |
18.17 |
P value = 0.7128 |
Based on the significance value (P value) I can accept the Null Hypothesis.
Salt concentration 0.00% and Salt concentration 1.50%
salt concentration 0.00% |
salt concentration 1.50% |
|
Mean |
78.00 |
40.00 |
Standard Deviation |
14.83 |
25.50 |
P value = 0.0205 |
Based on the significance value (P value) I can reject the Null Hypothesis and accept the alternative hypothesis.
Salt concentration 0.00% and Salt concentration 2.00%
salt concentration 0.00% |
salt concentration 2.00% |
|
Mean |
78.00 |
40.00 |
Standard Deviation |
14.83 |
25.50 |
P value = 0.0001 |
Based on the significance value (P value) I can reject the Null Hypothesis and accept the alternative hypothesis.
In: Statistics and Probability
Unless you have sufficient evidence otherwise, you must assume that:
Group of answer choices
both the null and alternative hypotheses are true
the alternative hypothesis is true
neither the null nor alternative hypotheses are true
the null hypothesis is true
Question 2
Which of the following refers to the group you wish to generalize your results to?
Group of answer choices
population
sample
sampling error
general group
Question 3
If there is no difference between sample and population values, you will have:
Group of answer choices
high sampling error
low, but positive sampling error
no sampling error
cannot be determined
Question 4
This is a statement of equality or no difference between sets of variables:
Group of answer choices
a null hypothesis
a research hypothesis
a nondirectional research hypothesis
a directional research hypothesis
Question 5
This is a hypothesis that reflects the difference between groups, but does not specify the direction of the difference.
Group of answer choices
a null hypothesis
a directional research hypothesis
a nondirectional research hypothesis
none of the above
Question 6
This is a hypothesis that reflects the difference between groups and also specifies the direction of the difference.
Group of answer choices
a null hypothesis
a nondirectional research hypothesis
a directional research hypothesis
none of the above
Question 7
Which of the following is a directional test?
Group of answer choices
a one-tailed test
a two-tailed test
a Type II error
the sampling error
Question 8
Which of the following is a nondirectional test?
Group of answer choices
a one-tailed test
a two-tailed test
a Type II error
the sampling error
Question 9
Which of the following symbols represents the null hypothesis?
**please excuse the lack of subscript, it will not allow it**
Group of answer choices
H1
Ha
X1
H0
Question 10
What are the two main categories of hypotheses?
Group of answer choices
null and research
null and sample
research and population
research and sample
Question 11
What do we call a hypothesis that refers to other variables or phenomena that may have caused the IV and DV to be related in a given sample? [ANSWER1]
In: Statistics and Probability
Confidence Intervals for Population Means When the Population Standard Deviation is Unknown.
Use the table of critical values of t to find the following: Construct a confidence interval for the population mean at the given confidence level. Remember to find your degrees of freedom.
4. n = 25, x = 56, s = 8, level of confidence is 95% 2
5. n = 36, x = 23.6 s = 4.2 level of confidence is 90%
6. Level of confidence is 98%. 272, 334, 288, 299, 312, 315, 309, 275, 325, 312
In: Statistics and Probability
What is the p value for the dataset below? determine whether a significant difference exists among groups A, B, and C? Use the format 0.999.
Chemical A | Chemical B | Chemical C |
112 | 121 | 84 |
103 | 125 | 96 |
98 | 98 | 105 |
122 | 100 | 89 |
130 | 95 | 102 |
107 | 122 | 98 |
105 | 121 | 105 |
120 | 115 | 89 |
100 | 128 | 100 |
124 | 130 | 90 |
Referring to the results from your analysis of chemicals A, B, and C; which pair of groups had the greatest difference in their mean values?
A |
A-B |
|
B |
A-C |
|
C |
B-C |
|
D |
Differences in the means between each group were all about equal |
In: Statistics and Probability
1. In your own words, what is one-way analysis of variance used for?
2. In your own words, what is the main difference between one-way analysis of variance and two-way analysis of variance
In: Statistics and Probability
In inventory control the engineer is faced with the following dilemma. If she keeps too much inventory, it results in high costs. On the other hand, if she keeps too few items, she runs the possibility of stocking out. The scenario in this problem is as follows:
– Demand for a spare part ~ Poisson(2) –
On-hand inventory ~ Binomial(4, 0.5)
• 4 is our choice for the stock to keep on hand each day
• 0.5 models our (in)ability to keep n units available
Use R to
(1)Show a simulation with 100 rows of data and create two columns one for the excess inventory, if any, and one for lost potential items sold.
(2)Show the pmf of Demand, On-hand Inventory, Excess, and loss.
(3)Also show descriptive stats for each of the following statistics (Mean, standard deviation, and maximum)
In: Statistics and Probability
Answer the folloing…
Drug Testing
A company has 20,000 employees to drug test. We are going to assume there are 500 actively using illegal drugs. The drug test they are going to administer is 95% accurate.
Test is Positive |
Test is Negative |
Total |
|
Actively Using |
|||
Not Using |
|||
Total |
20,000 |
If someone tests positive for drugs, what is the probability the person is actually NOT taking drugs?
If someone tests negative for drugs, what is the probability the test is wrong?
According to WEBMD home pregnancy tests are about 99% accurate, if you do the test first thing in the morning.
Let’s take a look at 1000 women who take a home pregnancy test. We are going to assume that 30% of them are actually pregnant.
Test is Positive |
Test is Negative |
Total |
|
Actually Pregnant |
|||
Not Pregnant |
|||
Total |
1000 |
What is the probability for someone who is pregnant will receive a positive test?
What is the probability of someone not being pregnant even though they have a positive test result?
If someone receives a negative test result, what is the probability they are actually pregnant?
create a tree diagram for the same scenarios and respond to the questions below
Drug Testing
A company has 20,000 employees to drug test. We are going to assume there are 500 actively using illegal drugs. The drug test they are going to administer is 95% accurate.
According to WEBMD home pregnancy tests are about 99% accurate, if you do the test first thing in the morning.
Let’s take a look at 1000 women who take a home pregnancy test. We are going to assume that 30% of them are actually pregnant.
In: Statistics and Probability
A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 119.7-cm and a standard
deviation of 2-cm. For shipment, 30 steel rods are bundled
together.
Find the probability that the average length of a randomly selected
bundle of steel rods is less than 119.8-cm.
P(M < 119.8-cm) =
In: Statistics and Probability
Air Force Training Program
An Air Force introductory course in electronics uses a personalized
system of instruction whereby each student views a videotaped
lecture and then is given a programmed instruction text. The
students work independently with the text until they have completed
the training and passed a test. Of concern is the varying pace at
which the students complete this portion of their training program.
Some students are able to cover the programmed instruction text
relatively quickly, whereas other students work much longer with
the text and require additional time to complete the course. The
fast students wait until the slow students complete the
introductory course before the entire group proceeds together with
other aspects of their training.
A proposed alternative system involves use of computer-assisted
instruction. In this method, all students view the same videotaped
lecture and then each is assigned to a computer terminal for
further instruction. The computer guides the student, working
independently, through the self-training portion of the
course.
To compare the proposed and current methods of instruction, an
entering class of 122 students was assigned randomly to one of the
two methods. One group of 61 students used the current
programmed-text method and the other group of 61 students used the
proposed computer-assisted method. The time in hours was recorded
for each student in the study. The following data are
provided.
Course Completion Times (hours) for Current Training Method
76 76 77 74 76 74 74 77 72 78 73
78 75 80 79 72 69 79 72 70 70 81
76 78 72 82 72 73 71 70 77 78 73
79 82 65 77 79 73 76 81 69 75 75
77 79 76 78 76 76 73 77 84 74 74
69 79 66 70 74 72
Course Completion Times (hours) for Proposed Computer-Assisted
Method
74 75 77 78 74 80 73 73 78 76 76
74 77 69 76 75 72 75 72 76 72 77
73 77 69 77 75 76 74 77 75 78 72
77 78 78 76 75 76 76 75 76 80 77
76 75 73 77 77 77 79 75 75 72 82
76 76 74 72 78 71
Managerial Report
1. Use appropriate descriptive statistics to summarize the training
data for each method. What similarities or differences do you
observe from the sample data?
2. Use the tests of hypothesis procedure to comment on any
difference between the population means for the two methods.
Discuss your findings.
3. Compute the standard deviation and variance for each training
method. Conduct a hypothesis test about the equality of population
variances for the two training methods. Discuss your
findings.
4. What conclusion can you reach about any difference between the
two methods?
5. Can you suggest other data or testing that might be desirable
before making a final decision on the training program to be used
in the future?
Please provide a detail solution. For Excel functions please provide the formula used to determine the values.
In: Statistics and Probability
Please type out answers.
A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180 high school teachers, 36 were single. Is the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single? Use α = 0.01.a) State the hypotheses that need to be tested (using proper notation)
b) Calculate the pooled estimate of p.
c) Calculate the test statistic.
d) Calculate the P-value OR critical value.
e) Make a conclusion(IN CONTEXT) using the connection between the P-value and alpha level OR test statistic and critical value.
In: Statistics and Probability
One hundred years ago life ran at a much slower pace than it does today and as each day passes, it moves at an even faster pace still. New technology replaces old stuff as quickly as the old stuff hits the market. It is really hard to keep up with the changes, some times. Take cars for example. We have had the internal combustion engine for over a hundred years. One day, it will be replaced, most likely in your lifetime. Most likely, self-driving cars will replace those who drive. Statistically, will these changes cause more cars on the roads or fewer cars and why?
In: Statistics and Probability
A simple random sample of 70 items resulted in a sample mean of 90. The population standard deviation is
σ = 15.
A. Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.)
B. Assume that the same sample mean was obtained from a sample of 140 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.)
In: Statistics and Probability
A random sample of 400 adolescents in Chicago found 180 prefer sugary candy (Skittles, Starburst, Lemon Heads, etc.) to chocolate candy. A nutritionist believes fewer adolescents prefer sugary candy to chocolate (i.e. less than 50%).
(a) Is there evidence at the 5% significance level to support the belief of the nutritionist.?
(b) Interpret the P-value in the context of this test.
(c) Explain what a Type I error would mean in the context of this test.
(d) Explain what a Type II error would mean in the context of this test.
In: Statistics and Probability
2. An independent random sampling design was used to
compare the means of six treatments based on samples of four
observations per treatment. The pooled estimator of 2 is 9.12, and
the sample means follow: These are 6 means given
below.
Mean x 1 =101.6 Mean x 2 = 98.4 mean x 3=
112.3
Mean x 4 =92.9 Mean x 5= 104.2 Mean x 6
=113.8
a. Give the value of that you would use to make pairwise
comparisons of the treatment means for a $ .05.
b. Rank the treatment means using pairwise comparisons
In: Statistics and Probability
a fast food restaurant sells an average of 113 cheeseburger meals a day, with a standard deviation of 14 meals. the restaurant wants to identify the days on which its sales are n the lowest 25%. there are a total of 92 days included in the analysis. what are the highest sales in the group of 25% worst ales days?
In: Statistics and Probability