Question

Researchers at Carnegie Mellon University have supposedly found that people find sandwiches tastier if they were made by someone else, rather than if they make the sandwiches themselves (2013). A researcher at SDSU decides to replicate the study to investigate whether people really do find sandwiches tastier if the sandwich maker is someone else versus themselves. The researcher learns that the average tastiness rating of self-made sandwiches in the population is µ= 3.4 on a 6-point scale (higher scores indicate greater tastiness), with a standard deviation of σ = 0.53. The researcher enlists his assistant, Mr. Pickles, and instructs him to make a large quantity of a basic sandwich. The researcher obtains a sample of 48 SDSU students and asks them to each eat one of the sandwiches made by Mr. Pickles and rate the tastiness of the sandwich using the same 6-point scale. The average rating of tastiness of the sandwich was M = 3.6. Use α = .05 for this significance test. Step 2: Assume that we draw all possible random samples of 48 people from the population of all adults. What would be the appropriate standard error (SE) for a distribution of samples of size 48? Give an interpretation in words of what this number means.

214

likes
1069 views

Answer to a math question Researchers at Carnegie Mellon University have supposedly found that people find sandwiches tastier if they were made by someone else, rather than if they make the sandwiches themselves (2013). A researcher at SDSU decides to replicate the study to investigate whether people really do find sandwiches tastier if the sandwich maker is someone else versus themselves. The researcher learns that the average tastiness rating of self-made sandwiches in the population is µ= 3.4 on a 6-point scale (higher scores indicate greater tastiness), with a standard deviation of σ = 0.53. The researcher enlists his assistant, Mr. Pickles, and instructs him to make a large quantity of a basic sandwich. The researcher obtains a sample of 48 SDSU students and asks them to each eat one of the sandwiches made by Mr. Pickles and rate the tastiness of the sandwich using the same 6-point scale. The average rating of tastiness of the sandwich was M = 3.6. Use α = .05 for this significance test. Step 2: Assume that we draw all possible random samples of 48 people from the population of all adults. What would be the appropriate standard error (SE) for a distribution of samples of size 48? Give an interpretation in words of what this number means.

Expert avatar
Seamus
4.9
95 Answers
The standard error measures how much variability or "standard" error there is from one sample mean to another if you took many samples from the population. It gives us an idea of how much the sample mean M is expected to vary because of random sampling error. A smaller SE indicates that the sample mean is likely to be closer to the population mean. The standard error (SE) for a distribution of sample means with a size of 48 is approximately 0.0765. In terms of interpretation, this number means that if we were to draw many samples of 48 people each from the population and calculate the mean tastiness rating for each sample, we would expect the distribution of those sample means to have a standard deviation of approximately 0.0765. This reflects the average amount that a sample mean would differ from the true population mean due to random chance when using samples of this size.

Frequently asked questions (FAQs)
What is the limit as x approaches 2 of (3x^2 - 8)/(x - 2)?
+
Math question: "Consider the function f(x) = x^2 - 4x + 3 on the interval [0, 5]. Is there an absolute maximum or minimum value on this interval?"
+
Math question: Determine the x-intercept of the reciprocal function f(x) = 1/x.
+
New questions in Mathematics
Evaluate limx→∞tan−1(x) using that y=tan−1(x) exactly when x=tan(y) . (Hint: Both tan and tan−1 are continuous!)
Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]
We have spent 1/4 of the inheritance on taxes and 3/5 of the rest on buying a house. If the inheritance was a total of €150,000 How much money do we have left?
Calculate the boiling temperature and freezing temperature at 1 atmosphere pressure of a solution formed by dissolving 123 grams of ferrous oxide in 1.890 grams of HCl.
User Before the election, a poll of 60 voters found the proportion who support the Green candidate to be 25%. Calculate the 90% confidence interval for the population parameter. (Give your answers as a PERCENTAGE rounded to TWO DECIMAL PLACES: exclude any trailing zeros and DO NOT INSERT THE % SIGN) Give the lower limit of the 90% confidence interval Give the upper limit of the 90% confidence interval
Equine infectious anemia (EIA) is considered the main infectious disease in Brazilian equine farming, for which there is no effective vaccine or treatment. It is caused by a retrovirus of the genus Lentivirus, which affects horses, donkeys and mules and is transmitted in nature mainly by hematophagous insects of the genus Tabanidae. Researchers analyzed the records of 9,439 equids from Acre, submitted to the agar gel immunodiffusion test (AGID) for equine infectious anemia (EIA), between 1986 and 1996. Of these, 6199 tested positive for equine infectious anemia (EIA) . Knowing that the age of AIE-positive horses follows a Normal distribution with a mean of 5 years and a standard deviation of 1.5 years, determine the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years. ATTENTION: Provide the answer to exactly FOUR decimal places.
In a laboratory test, it was found that a certain culture of bacteria develops in a favorable environment, doubling its population every 2 hours. The test started with a population of 100 bacteria. After six hours, it is estimated that the number of bacteria will be:
-1%2F2x-4%3D18
3%2B2
(a) List the set of possible rational zeros of the polynomial function F(x) = 2x3 - 11x2 + 13x - 4. (b) Find all rational zeros of F(x). Only do part B
A contractor gives a bank note for $10250 at a rate of 1% for one month. How much interest is charged for 4 months?
A loan is repaid with payments of $2226 made at the end of each month for 12 years. If interest on the loan is 5.2%, compounded semi-annually, what is the initial value of the loan? Enter to the nearest cent (two decimals). Do not use $ signs or commas.
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
How do you convert a fraction to a decimal
Calculate NPV, IRR and PAYBACK through a cash flow for a period of five years, with discount rate of: a) 10% b) 12% c) 15% initial annual cost $41,400,000
A membership to the gym cost $25 per person in 1995. The membership cost has increased by an average $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995. What is the cost of a gym membership in 2009?
Recall that with base- ten blocks, 1 long = 10 units, 1flat = 10 long, and a block = 1 unit. Then what number does 5 flat, 17long and 5 units represent represent ?
It costs a manufacturer $2,500 to purchase the tools to manufacture a certain homemade item. If the cost for materials and labor is 60¢ per item produced, and if the manufacturer can sell each item for 90¢, find how many items must he produce and sell to make a profit of $2000?
7-1=6 6x2=12 Explain that
8(x+4) -4=4x-1