In a bubble chamber experiment, the decay of a Σ+ particle into a π+ particle and a neutron is observed when a 1.03 T magnetic field is applied perpendicular to the paths of the particles. The Σ+ and π+ particles leave curved tracks of radii 2.01 m and 0.588 m respectively. The rest masses are mΣ+ = 1189.4 MeV/c2 and mπ+ = 139.6 MeV/c2. If at the moment of decay, the angle between the momentum of the Σ+ and π+ particles is 71.6°, what is the magnitude of the momentum of the neutron? (Express your answer in units of MeV/c.)

A team of comparative psychologists are interested in the maternal behavior or rats. In an experiment, 10, 20, and 25 day-old rat pups were separated from their mothers. They then recorded the time (in seconds) required for the mother rats to retrieve the pups. The psychologists were interest in whether retrieval time varies with age. The data are given below. What can be concluded with an α of 0.05?

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
η² =  ;  ---Select--- na trivial effect small effect medium effect large effect

A student followed the procedure of this experiment to determine the percent NaOCl in a commercial bleaching solution that was found in the basement of an abandoned house. The student diluted 50.00 mL of commercial bleaching solution to 250 mL in a volumetric flask, and titrated a 20-mL aliquot of the diluted bleaching solution. The titration required 35.46 mL of 0.1052M Na2S2O3 solution. A faded price label on the gallon bottle read $0.79. The density of the bleaching solution was 1.10 g/mL

Calculate the mass of NaOCl present in the diluted bleaching solution titrated

A researcher conducts an experiment in a residence for senior citizens to investigate the effect of floor type on the risk of fall-related injury. For 24 randomly selected individuals in the facility, she records the type of flooring (either standard flooring or a new, rubber flooring that absorbs the impact of falls) in their room and whether they sustained at least one fall-related injury in their room over the previous two years. She is interested in whether the rubber flooring is associated with a reduced risk of injury. Her data are available in the file fall.csv.

fall csv :

a. What are the null and alternative hypotheses?

b. What is the value of the test statistic?

c. What is the p-value?

d. State your conclusions in the language of the problem. Use a significance level of 10%.

e. Which assumption is required for the validity of your hypothesis test and why might it be reasonable in this context?

A team of comparative psychologists are interested in the maternal behavior or rats. In an experiment, 10, 20, and 25 day-old rat pups were separated from their mothers. They then recorded the time (in seconds) required for the mother rats to retrieve the pups. The psychologists were interest in whether retrieval time varies with age. The data are given below. What can be concluded with an α of 0.05?

Make an interpretation based on the results.

At least one of the rat pup ages differed on the mother retrieval time.None of the rat pup ages differed on the mother retrieval time.    

e) Conduct Tukey's Post Hoc Test for the following comparisons:
1 vs. 3: difference =  ; significant:  ---Select--- Yes No
1 vs. 2: difference =  ; significant:  ---Select--- Yes No

f) Conduct Scheffe's Post Hoc Test for the following comparisons:
1 vs. 2: test statistic =  ; significant:  ---Select--- Yes No
1 vs. 3: test statistic =  ; significant:  ---Select--- Yes No

An experiment to test the effects of alcohol on motor skills was conducted for a group that drank alcohol and a group that had a placebo. The 22 individuals in the alcohol group had a mean error rate of 4.20 and a standard deviation of 2.20. The 22 individuals in the placebo group had a mean error rate of 1.71 and a standard deviation of 0.72.

a. Construct a 95% confidence interval for the difference in the population means.

b. Interpret the interval.

c. Does the data indicate that drinking alcohol affects motor skills? If “YES”, explain why. If “NO”, what does the data indicate about drinking alcohol and motor skills? No credit for “YES/NO” answer only

Describe in detail, with sketches as appropriate, the requirements for a setup of a mechanical experiment that allows to measure the weight of individual atoms. Provide details of a sensor (eg. scale, mass), the sensor actuation and the sensor read-out (eg. experimental noise, physical principle). How do you prove that the measured atomic mass stems specifically from the atoms you analyse? (Consider environmental sources of measurement noise)

This question featured in an Oscillations section of a past exam paper. Any help greatly appreciated! Thanks.

In an experiment to test the effectiveness of a new sleeping aid, a sample of 12 patients took the new drug, and a sample of 15 patients took a commonly used drug. Of the patients taking the new drug, the average time to fall asleep was 28.6 minutes with a sample standard deviation of 5.2 minutes, and for the patients taking the commonly used drug the average time was 30.7 minutes with a sample standard deviation of 4.1 minutes. Can you conclude that the mean time to sleep is less for the new drug? Assume that population standard deviations are the same. Take ? = 0.01.

a. Use P-value method to test the hypothesis.  

b. Find 99% confidence interval and use it to test the hypothesis.

c. Clearly write your conclusion.

d. If the true mean difference between the sleep times is 2 minutes, what is the probability that we can recognize it.

An experiment is conducted to select a suitable catalyst for the commercial production of a product used in soaps which is called EDA. 10% of catalysts have poor performance, 20% of catalysts have moderate performance, 50% of catalysts have good performance, and 20% of catalysts have excellent performance. Suppose an engineer randomly selects 12 catalysts for testing.

1. Find the probability that 3 of them show poor performance, 4 of them show good performance, and 5 of them show excellent performance,
2.   Find the probability that 3 of them show moderate performance, 1 of them show poor performance, 3 of them show good performance, and 5 of them show excellent performance,