What is the purpose of calculating the Standard Error of the Mean (SEM)?
In: Statistics and Probability
Your BANA II professor is going on vacation. He has narrowed down a list of potential hotels, but he is still overwhelmed by the data. He loves great food and wants to do all the activities at the resort. Refer to the attached Excel workbook to complete the following 2 questions: 1. Develop two unique ways to display the data (two unique types of charts) to show him where he should stay. Save the graphs in the Blackboard Midterm Tab. Make sure to label and describe the data in the chart. Be creative and impress your professor. 2. Recommend the best way to present the data. Write a narrative summary of what hotel you recommend based on the data visualization and the tradeoffs that you observe.
Hotel | Overall | Comfort | Amenities | In-House Dining |
Muri Beach Odyssey | 94.3 | 94.5 | 90.8 | 97.7 |
Pattaya Resort | 92.9 | 96.6 | 84.1 | 96.6 |
Sojourner’s Respite | 92.8 | 99.9 | 100 | 88.4 |
Spa Carribe | 91.2 | 88.5 | 94.7 | 97 |
Penang Resort and Spa | 90.4 | 95 | 87.8 | 91.1 |
Mokihana Hōkele | 90.2 | 92.4 | 82 | 98.7 |
Theo’s of Cape Town | 90.1 | 95.9 | 86.2 | 91.9 |
Cap d’Agde Resort | 89.8 | 92.5 | 92.5 | 88.8 |
Spirit of Mykonos | 89.3 | 94.6 | 85.8 | 90.7 |
Turismo del Mar | 89.1 | 90.5 | 83.2 | 90.4 |
Hotel Iguana | 89.1 | 90.8 | 81.9 | 88.5 |
Sidi Abdel Rahman Palace | 89 | 93 | 93 | 89.6 |
Sainte-Maxime Quarters | 88.6 | 92.5 | 78.2 | 91.2 |
Rotorua Inn | 87.1 | 93 | 91.6 | 73.5 |
Club Lapu-Lapu | 87.1 | 90.9 | 74.9 | 89.6 |
Terracina Retreat | 86.5 | 94.3 | 78 | 91.5 |
Hacienda Punta Barco | 86.1 | 95.4 | 77.3 | 90.8 |
Rendezvous Kolocep | 86 | 94.8 | 76.4 | 91.4 |
Cabo de Gata Vista | 86 | 92 | 72.2 | 89.2 |
Sanya Deluxe | 85.1 | 93.4 | 77.3 | 91.8 |
In: Statistics and Probability
Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.100.10 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm 148148 133133 142142 130130 131131 Left arm 182182 164164 176176 149149 134134 In this example, mu Subscript dμd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0H0: mu Subscript dμdnot equals≠0 Upper H 1H1: mu Subscript dμdgreater than>0 B. Upper H 0H0: mu Subscript dμdequals=0 Upper H 1H1: mu Subscript dμdless than<0 C. Upper H 0H0: mu Subscript dμdequals=0 Upper H 1H1: mu Subscript dμdnot equals≠0 D. Upper H 0H0: mu Subscript dμdnot equals≠0 Upper H 1H1: mu Subscript dμdequals=0 Identify the test statistic. tequals=nothing (Round to two decimal places as needed.) Identify the P-value. P-valueequals=nothing (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is ▼ greater less than the significance level, ▼ reject fail to reject the null hypothesis. There ▼ is not is sufficient evidence to support the claim of a difference in measurements between the two arms.
In: Statistics and Probability
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.050.05 significance level for both parts. Treatment Sham muμ mu 1μ1 mu 2μ2 n 1515 1515 x overbarx 0.530.53 0.440.44 s 0.770.77 1.321.32 a. Test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? A. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1greater than>mu 2μ2 B. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1not equals≠mu 2μ2 C. Upper H 0H0: mu 1μ1not equals≠mu 2μ2 Upper H 1H1: mu 1μ1less than
In: Statistics and Probability
Exercise 1 |
Is there a linear relationship between the age at which a child first begins to speak and the child’s later mental ability? A study was conducted in which the age (in months) at which a child spoke their first words and the score on an aptitude test as a teenager were recorded: PLEASE SHOW WORK
Age |
15 |
26 |
10 |
9 |
15 |
20 |
18 |
11 |
8 |
20 |
Score |
95 |
71 |
83 |
91 |
102 |
87 |
93 |
100 |
104 |
94 |
Ho: P=0
H1: P¹0
a=0.05
DF=10-2=8
Reject the null hypothesis if r > 0.632 or r < -0.632
In: Statistics and Probability
Using the statistics table, find the probability of a score less than z = +.88. Write out your answer using all 4 numbers to the left of the decimal.
In: Statistics and Probability
For the data set shown below.
x y
3 4
4 5
5 8
7 12
8 15
Find the estimates of β0 and β1.
β0≈b0=-3.256
(Round to three decimal places as needed.)
β1≈b1=2.233
(Round to three decimal places as needed.)
(b) Compute the standard error, the point estimate for σ.
Se=0.5972
(Round to four decimal places as needed.)
(c) Assuming the residuals are normally distributed, determine sb1.
sb1=0.144
(Round to three decimal places as needed.)
(d) Assuming the residuals are normally distributed, test H0: β1=0 versus H1: β1≠0 at the α=0.05 level of significance. Use the P-value approach.
The P-value for this test is
__?__.
(Round to three decimal places as needed.)
In: Statistics and Probability
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question.
Listed below are the amounts (dollars) it costs for marriage proposal packages at different sports venues. Are there any outliers?
39
60
60
65
65
65
75
85
100
125
175
175
225
234
250
250
350
375
400
450
450
450
450
2500
3000
a. Find the mean.
The mean is
$nothing.
(Type an integer or a decimal rounded to two decimal places as needed.)
b. Find the median.
The median is
$nothing.
(Type an integer or a decimal rounded to two decimal places as needed.)
c. Find the mode.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.The mode(s) is(are)
$nothing.
(Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)
B.
There is no mode.
d. Find the midrange.
The midrange is
$nothing.
(Type an integer or a decimal rounded to two decimal places as needed.)
e. Are there any outliers? Choose the correct answer below.
A.The values
$3939
and
$30003000
appear to be outliers.
B.The values
$25002500
and
$30003000
appear to be outliers.
C.
There do not appear to be any outliers.
D.The values
$3939,
$25002500,
and
$30003000
appear to be outliers.
Click to select your answer(s).
In: Statistics and Probability
Find the margin of error and 95% confidence interval for the following surveys. Round all answers to 2 decimal places.
a) A survey of 500 people finds that 45% plan to vote for Smith for governor. Margin of Error (as a percentage): Confidence Interval: % to %
b) A survey of 1500 people finds that 61% support stricter penalties for child abuse.
Margin of Error (as a percentage):
Confidence Interval: % to % License
In: Statistics and Probability
Two different teaching procedures were used on two different groups of students. Each group contained 100 students of about the same ability. At the end of the term, an evaluating team assigned a letter grade to each student. The results were tabulated as follows:
Grade Group
A B C D F Total
Total (I) 15 22 32 17 14 100
(II) 9 16 29 28 18 100
If we consider this data to be comprised of independent observations, test at the 5 percent significance level the hypothesis that the two teaching procedures are equally effective.
In: Statistics and Probability
A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.44 years and the standard deviation is 10.17 years. a) Construct a 90% confidence interval for the mean age of all customers, assuming that the assumptions and conditions for the confidence interval have been met. b) How large is the margin of error? c) How would the confidence interval change if you had assumed that the standard deviation was known to be 11.0 years? |
In: Statistics and Probability
Unlike most packaged food products, alcohol beverage containers are not required to show calorie or nutrition content. A random sample of 58 people was asked to estimate the calorie content of a 12-oz can of beer. The sample mean of their estimates was 191 calories and sample standard deviation was 89. The actual calorie content was 154 calories. Does this data suggest that the population average would overestimate the calories in this 12-oz can of beer? Carry out a 4-part hypothesis test(Hypotheses, assumptions, calculation and conclusion)at the significance level of α = .05. Show your work. For p-value use R code.
In: Statistics and Probability
I NEED TO: Write a 100-word paragraph (in your own words) stating whether the study below is correlational or experimental and explaining why you believe it is correlational or experimental. If you believe it is both or neither, explain your thinking with examples from the article/study listed below.
PLEASE READ THE STUDY, IT IS LISTED BELOW TO ANSWER THE ESSAY QUESTION ABOVE:
Facebook’s damaging effects on mental health have been widely reported in a series of studies – but could the social network be making us physically ill, too? Researchers found that people who spent time looking at other people’s Facebook profiles, felt real physical symptoms as sleep problems, weight change and muscle tension. Researchers interviewed 165 Facebook users, and found that people who were inclined to compare themselves to others felt more aware of physical ailments. It’s not that Facebook actually causes the symptoms in other words, but comparing onself to others perceived as ‘better off’ causes increased awareness of symptoms. Dr Bridget Dibb, Senior Lecturer in Health Psychology at the University of Surrey, said, ‘Comparing ourselves to others is not a new concept; however, with the rise of social media it is becoming a part of our everyday lives. ‘An entity like Facebook, with 2.27 billion active monthly users, has never existed before. The long term effect it has on individuals is unknown, but it is clear that comparison with others is associated with perceptions of ill-health.‘Users need to be aware of how they feel when they use sites like Facebook and recognize the dangers of comparisons in this context.’
In: Statistics and Probability
A 3-person jury has 2 members each of whom have independently a probability 0.7 of making a correct decision. The third juror just flips a coin for each decision. In this jury, the majority rules. A 1-person jury has a probability 0.7 of making a correct decision. What is the probability of the best jury of making a correct decision?
In: Statistics and Probability
The manager of a door-making company would like to estimate the amount of time it takes for a piece of wood to be moved, cut, and packaged at two different plants. At Plant A, the manager observed 21 pieces that processed with an average time of 14.2 minutes and standard deviation of 2.6 minutes. At the second plant, the manager observed 19 pieces with an average time of 13.1 minutes with a standard deviation of 1.9 minutes.
a. Test whether there is a difference between mean process times of Plants A and B with an assumed α = 0.1. State your conclusion properly with context.
b. What three assumptions are required to perform the above test?
c. Using the above information and α = 0.1 significance level, test to see if the plants have different variability. State your conclusion properly with context.
In: Statistics and Probability