What is the percentage concentration by mass of a solution that contains 0.098 kg of H2SO4 in 500.0 g of H2O
In: Chemistry
In: Physics
With the rise of stock market, an investment advisor believes that the percentage of investors who are risk–taking (i.e., trying to take risk in their investment decisions) is greater than 80%. A survey of 115 investors found that 95 of them were risk-taking. Formulate and test the appropriate hypotheses to determine whether his belief can be confirmed (significance level of 5%).
In: Statistics and Probability
Joglekar, Schuenemeyer, and LaRiccia (1989) looked at the
relationship be-
tween the percentage of hardwood in a batch of pulp and the tensile
strength of the
paper. The question is can the hardwood percent useful in
predicting the strength of
the paper.
| psi | % |
| 6.3 | 1 |
| 11.1 | 1.5 |
| 20 | 2 |
| 24 | 3 |
| 26.1 | 4 |
| 30 | 4.5 |
| 33.8 | 5 |
| 34 | 5.5 |
| 38.1 | 6 |
| 39.9 | 6.5 |
| 42 | 7 |
| 46.1 | 8 |
| 53.1 | 9 |
| 52 | 10 |
| 52.5 | 11 |
| 48 | 12 |
| 42.8 | 13 |
| 27.8 | 14 |
| 21.9 | 15 |
(a) (2 points) Create an ANOVA table using only the single
predictor variable hardwood.
(b) (2 points) Compute and interpret the value of R2.
(c) (2 points) Give the hypothesis and conclusion of your ANOVA
table (Signicancer is 5%).
(d) (2 points) Find the RMSE and interpret this value.
(e) (4 points) Add a third column to the data set by squaring the
values in the %
hardwood column to investigate a multivariate model y^ =
b0+b1x+b2x^2+E". Create
an ANOVA table using both the variable hardwood and the variable
hardwood2.
Calculate and interpret R2.
(f) Provide some graphical evidence AND explain the dramatic change
in
R2
In: Statistics and Probability
In 2000, the percentage of adults in a certain town who drove an SUV was 53%. In 2005, in a random sample of 100 people from this town, 45 said that they drive an SUV. At the 10% level of significance, use the critical-value method to determine if the percentage of adults in this town who drive an SUV has changed from the 2000 percentage. Correctly state a) your conclusion about what to do with H0 AND b) your conclusion about the claim that is being made.
In: Statistics and Probability
Determine the percentage of mass of the atmosphere that resides between sea level and a height of 26.9 km. Assume an average pressure of 1.00 atm at sea level and a temperature of the atmosphere of 15 °C. The average molar mass of air is 28.96 g/mol. You may or may not need Earth's radius, which is 6,371 km.
In: Chemistry
In a study of government financial aid for college students, they need to estimate the percentage of students who graduate in four years. Find the sample size needed to estimate the percentage. Use a 4% margin of error, and 90% confidence level.
1. A previous study showed that 60% graduate in four years.
2. We don't know the percentages at all
In: Statistics and Probability
A system manager at a large corporation believes that the percentage of spam email received at his company may be 61%. He examines a random sample of 213 emails received at an email server, and finds that 66% of the messages are spam. Use a significance level of α = 0.07.
a.) State the null and alternative hypothesis using correct symbolic form.
H0: Answerρμσ Answer=≠<> Answer
H1: Answerρμ σ Answer≠<> Answer
b.) Is this a left-tailed, right-tailed, or two-tailed hypothesis test?
| left-tailed | right-tailed | two-tailed |
c.) What are the critical values? (round to two decimal places)
z = ± Answer
d.) What is the test statistic? (round to two decimal places)
z = Answer
e.) What is the p-value? (round to four decimal places)
p-value is Answer
f.) Should we reject or fail to reject the null hypothesis?
| reject | fail to reject |
g.) State the conclusion.
There is sufficient evidence to support the claim that the percentage of spam email received at his company may be 61%.
There is not sufficient evidence to support the claim that the percentage of spam email received at his company may be 61%.
There is sufficient evidence to warrant rejection of the claim that the percentage of spam email received at his company may be 61%.
There is not sufficient evidence to warrant rejection of the claim that the percentage of spam email received at his company may be 61%.
In: Statistics and Probability
A protein with a high percentage of lysine and arginine residues would be BEST purified and concentrated with which type of column? Explain
A. cation exchange
B. anion exchange
C. size exclusion chromotagraphy
D. affinity chromotagraphy
In: Chemistry
Three percent of a man's body is essential fat; for a woman the percentage is closer to 12.5%. As the name implies, essential fat is necessary for a normal healthy body. Fat is stored in small amounts throughout the body. Too much fat, however, can be dangerous to your health. For men between 18 and 39 years old, a healthy percent of body fat ranges from 8% to 19%; for women of the same age, it's 21% to 32%.
Measuring body fat can be tedious and expensive. The "standard reference" measurement is by dual-eneregy X-ray absorptiometry (DEXA), which involves two low-dose X-ray generators and takes from 10 to 20 minutes.
Because of the time and expense involved with the DEXA method, health professionals would like to be able to make a useable prediction of body fat from easily measurable variables such as weight or waist size.This Excel file shows the waist size (inches), weight (pounds) and percent body fat for 20 individuals.
Question 1. What is the slope of the least squares regression line of %body fat on waist size?
(use 4 decimal places).
Question 2. Find sb1, the estimate of the standard deviation σb1 of the least squares slope b1 (use 4 decimal places).
sb1, estimate of
σb1
Question 3. Determine the 99% confidence interval for the slope of the least squares regression line of %body fat on waist size.
lower bound
upper bound
Question 4. Determine a 99% confidence interval for the mean %body fat found in people with 40-inch waists (use 2 decimal places).
lower bound
upper bound
Question 5. Determine a 99% prediction interval for the %body fat of an individual with a 40-inch waist (use 2 decimal places).
lower bound
upper bound
In: Statistics and Probability