In a hurry to complete the experiment, Joseph failed to calibrate the spectrophotometer. As a result, all absorbance values for the standard solutions that are measured and recorded are too high. How will this affect the following for the Test Solutions in Parts B and C? a: will the equilibrium concentrations of FeNCS2+ be too high, too low, or unaffected? Explain b: Will the equilibrium concentrations of Fe3+ be too high, too low, or unaffected? Explain. c: Will the calculated equilibrium constants be too high, too low, or unaffected? Explain
In: Chemistry
An Excel ANOVA table that summarizes the results of an experiment to assess the effects of ambient noise level and plant location on worker productivity.
|
Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
||||||||||||||||||
|
Plant location |
3.0075 |
3 |
1.0025 |
2.561 |
0.1199 |
3.862 |
||||||||||||||||||
|
Noise level |
8.4075 |
3 |
2.8025 |
7.160 |
0.0093 |
3.863 |
||||||||||||||||||
|
Error |
3.5225 |
9 |
0.3914 |
|||||||||||||||||||||
|
Total |
14.9375 |
|||||||||||||||||||||||
In: Statistics and Probability
An experiment was conducted to test the effect of a new drug on a viral infection. After the infection was induced in 100 mice, the mice were randomly split into two groups of 50. The first group, the control group, received no treatment for the infection, and the second group received the drug. After a 30-day period, the proportions of survivors, p̂1 and p̂2, in the two groups were found to be 0.38 and 0.62, respectively.
(a) Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
(b) Use a 95% confidence interval to estimate the actual difference (p1 − p2) in the survival rates for the treated versus the control groups. (Round your answers to two decimal places.)
In: Statistics and Probability
An experiment was conducted for better understanding of the effectiveness of a particular type of drug for reducing bad cholesterol (LDL) level. The purpose of the experiment was to determine whether different dosages used have significant different outcomes in average LDL reduction. Twenty subjects with LDL at around 250 to 300 mg/dL had participated in the study and were randomly divided into four groups. Each group was given a specific level of dosage of the drug each day for one month, with a control group that only provided with placebo. The reduction in LDL was recorded and showed in the following table. Positive number indicates reduction and negative numbers indicates increasing in DLD. Use statistical software to analyze the data and answer the following question.
|
Control |
Light Dosage Level |
Medium Dosage Level |
Heavy Dosage Level |
|
7 |
25 |
73 |
81 |
|
−3 |
17 |
60 |
71 |
|
6 |
22 |
55 |
79 |
|
5 |
21 |
41 |
60 |
|
15 |
12 |
36 |
85 |
Perform a One-way ANOVA test to see if there is significant difference between the outcomes from the four treatment groups, at 5% level of significance, by answering the following questions.
Null hypothesis:
Alternative hypothesis:
Report p-value and use it to draw the conclusion:
[Paste software output here!]
In: Statistics and Probability
In a laboratory experiment to investigate the effect of sewage effluent on the fecundity of freshwater shrimps (Gammarus pulex) a number of populations of shrimps were placed into large vessels with different concentrations of organic matter. Females from each vessel were then dissected to see how many eggs they were carrying.
|
Organic matter (g /l) |
0.5 |
1.0 |
1.5 |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
4.5 |
5.0 |
|
Mean fecundity |
45 |
40 |
36 |
29 |
27 |
20 |
15 |
10 |
10 |
8 |
(i) Plot a graph of the relationship using R/SPSS. Obtain estimates of the slope and intercept of the line of best fit through the data and predict the mean fecundity of Gammarus when reared with 3.2 g/l organic matter.
(ii) Test the NH that there is no underlying linear relationship (i.e. zero slope at population level) between fecundity and organic matter. Visually examine the distribution of residuals and comment on whether the assumptions of the test appear valid. What is the estimated variance (i.e. the estimated “error”) of residuals around the fitted line?
In: Statistics and Probability
An experiment was performed to determine the effect of four different chemicals on the strength of a fabric. These chemicals are used as part of the permanent press finishing process. Five fabric samples were selected, and a randomized complete block design was run by testing each chemical type once in random order on each fabric sample. The data are shown in Table below. test for differences in means using an ANOVA with α=0.01 Fabric Sample Chemical Type 1 2 3 4 5 1 1.3 1.6 0.5 1.2 1.1 2 2.2 2.4 0.4 2.0 1.8 3 1.8 1.7 0.6 1.5 1.3 4 3.9 4.4 2.0 4.1 3.4
In: Statistics and Probability
Truck pollution: In an experiment to determine the effect of ambient temperature on the emissions of oxides of nitrogen (NOx) of diesel trucks, 10 trucks were run at temperatures of 40°F and 80°F. The emissions, in parts per billion, are presented in the following table.
Truck 40° F 80° F
1 834.7 815.2
2 753.2 755.2
3 855.7 812.6
4 901.2 797.1
5 785.4 744.3
6 862.9 819.5
7 882.7 783.6
8 740.3 694.5
9 748.0 732.9
10 848.6 794.7
a. Construct a 95% confidence interval for the difference between the parameters of interest. Show all work including formula used. b. Interpret the interval. c. Researchers claim that the population mean emission of oxides of nitrogen from diesel trucks run at 80 degrees F is more than 20 points lower than that of trucks run at 40 degrees F. Do you agree with the claim? Explain
In: Statistics and Probability
(a) A helium lamp is used for an experiment to study the photoelectric effect. The visible part of the spectrum emitted from the lamp is split into its components using a glass prism, which reveals a yellow spectral line at 587nm and a blue spectral line at 447nm.
(i) Explain briefly the origin of the distinct lines of different colour.
(ii) Has blue or yellow light higher energy (per photon)? Justify your answer.
(iii) The refractive index of the glass prism is larger for blue light than for yellow. Will the direction of blue or yellow light change by a larger angle compared to the incident light? Justify your answer.
(iv) Has blue or yellow light higher velocity within the glass prism? Justify your answer.
(b) The yellow light and blue light from part (a) hit a piece of potassium with work function 2.29 eV.
(i) Calculate the energy of the emitted photoelectrons.
(ii) Electrons are fermions. State the difference between fermions and bosons in terms of their spin quantum number.
(iii) Briefly explain the meaning of the Pauli exclusion principle.
(iv) A helium ion with total charge −e has 3 electrons. Show that there are four different combinations of spin magnetic quantum number that these electrons can have. Justify your answer on the basis of the aufbau principle.
In: Physics
1. If the HCl used in this experiment was prepared at a concentration of 0.15M. Using your volume of HCl neutralized by your whole tablet, calculate the mass of active ingredient (CaCO3) in the tablet in milligrams.
2. Instead of using ratios for back titrations we can also use molarities, if our solutions are standardized. A 0.196g sample of antacid containing an unknown amount of triprotic base Al(OH)3 was reacted with 25.0mL of 0.111M HCl. The resulting solution was then titrated with 11.05mL of 0.132M NaOH solution. Calculate the mass percent of Al(OH)3 in the antacid sample.
In: Chemistry
2. An experiment was conducted to determine if a drug could be used as a treatment for the eating disorder anorexia. The test subjects were women being treated for anorexia. A group of 50 patients received the drug, and after a year, 39 were deemed healthy. Construct a 99% confidence interval for the true proportion of patients who would be deemed healthy after receiving the drug for a year.
In: Statistics and Probability