2.   Sensory isolation chambers are used to examine the effects of mild sensory deprivation. The chamber is a dark, silent tank where subjects float on heavily salted water and are thereby deprived of nearly all external stimulation. Sensory deprivation produces deep relaxation and had been shown to produce temporary increases in sensitivity for vision, hearing, touch, and even taste. The following data represent hearing threshold scores for a group of subjects who were tested before and immediately after one hour of deprivation. A lower score indicates more sensitive hearing. Do these data indicate that deprivation has a significant effect on hearing threshold? Test at the .05 level of significance with two tails.

a)   State symbolically what your H1 and H0 would be.
b)   What kind of test would you use (One-sample, Related-samples, etc.)?
c)   What is your df? What is your critical t?
d)   Based on the above information, would you reject H0, or fail to reject it? Why? What would your conclusion be?

Multiple myeloma, or plasma cancer, is characterized by increase blood vessel formulation (angiogenesis) in the bone marrow that is a predictive factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells.

The data is listed bellow:

a) At alpha 0.05 level of significance, is there evidence that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant?

Use the Excel output to answer the questions below:

a) What is the null hypothesis?

b) What is the correct t-statistic?

c) What is the correct decision rule?

d) What is the correct conclusion?

e) Using only the p-value, what is the conclusion?

Two carts sit on a horizontal, frictionless track; the spring between them is compressed. The small cart has mass m, and the mass of the larger cart is M = 5.29m. NOTE: Every velocity needs magnitude and direction (given by the sign).

a) Suppose the carts are initially at rest, and after the "explosion" the smaller cart is moving at velocity v = +4.88 m/s. - Find the velocity of the larger cart. V =

Assume now that the mass of the smaller cart is m = 8.91 kg. Assuming there is no loss of energy: find the energy stored in the spring before the explosion. Wk =

If the spring has spring constant k = 935 N/m: find x, the distance the spring was compressed before the "explosion".

b) Suppose the carts are initially moving together, with the spring compressed between them, at constant velocity vo = +9.39 m/s. After the "explosion", the smaller cart is moving at velocity v = +4.88 m/s. Find the velocity of the larger cart.

c) Suppose now that the small cart (mass m) is initially moving at velocity vo = +3.3 m/s. At what velocity would the large cart (mass 5.29m) have to be moving so, when they collide and stick together, they remain at rest?

If you can show the work/ provide explanation I would greatly appreciate it :) Thanks

A receiving operator for a large grocery store is analyzing her operations. Trucks arrive to the loading dock at an average rate of four per hour for each day. The cost of operating a truck is estimated to be $75 per hour. Trucks are met by a two-person crew, the crew can unload the truck in an average of 9 minutes. The payroll associated with each crew member is $18/hour. It is possible to install new equipment to help the crew operate more efficiently, decreasing the unloading time from 9 minutes to 7 minutes per truck. Rental of this equipment would increase the daily cost of the operation by $200 per day. Assume each day is an 8-hour shift. Should the new equipment be installed?

a) Consider the performance of the crew before the new equipment is installed. On average, how many trucks are in the system (to the nearest 0.01 trucks) given the arrival and service rates?

b) Consider the performance of the crew before the new equipment is installed. On average, how many hours (to the nearest 0.01 hours) does each truck spend in the system given the arrival and service rates?

c) Consider the performance of the crew before the new equipment is installed. Basing your cost on the number of trucks in the system, what is the total system cost (to the nearest dollar) per day (crew cost and truck cost)?

d) Consider the performance of the crew after the new equipment is installed. On average, how many trucks (to the nearest 0.01 trucks) are in the system given the arrival and the new service rate?

e) Consider the performance of the crew after the new equipment is installed. On average, how many hours (to the nearest 0.01 hours) does each truck spend in the system given the arrival and the new service rate?

f) Consider the performance of the crew after the new equipment is installed. Basing your cost on the number of trucks in the system, what is the total system cost (to the nearest dollar) per day (crew cost and truck cost)? g) Based on your cost analysis - is it worth it to install the new equipment?

Most sports injuries are immediate and obvious, like a broken leg. However, some can be more subtle, like the neurological damage that may occur when soccer players repeatedly head a soccer ball. To examine effects of repeated heading, McAllister et al. (2013) examined a group of football and ice hockey players and a group of athletes in noncontact sports before and shortly after the season. The dependent variable was performance on a conceptual thinking task. Following are hypothetical data from an independent-measures study similar to the one by McAllister et al. The researchers measured conceptual thinking for contact and noncontact athletes at the beginning of their first season and for separate groups of athletes at the end of their second season.

What are the factors and their levels for this study? Choose from the following and enter the letter only:

a. sports type

b. time

c. before the first season/after the second season

d. contact/noncontact

Factor A (rows): ________ and levels ________

Factor B (columns): ______ and levels _________

Interpret the data (you may want to do draw and upload your graph first, in the following question). Which factors do we expect to be significant?

Factor A (rows): _____

s. significant or

n. not significant

and why? ____

a. there is a row mean difference

b. there is a column mean difference

c. the lines are not really parallel

d. the lines are basically parallel

Factor B (columns): _____

s. significant

n. not significant

and why?_____

a. there is a row mean difference

b. there is a column mean difference

c. the lines are not really parallel

d. the lines are basically parallel

Interaction factor AxB: significant or not significant _____

s. Significant

n. Not significant

and Why? _____

a. there is a row mean difference

b. there is a column mean difference

c. the lines are not really parallel

d. the lines are basically parallel

( if you could show as much work as possible that would be great, I'm really confused on this question)

:)

A manager at a furniture production plant created an incentive plan for her carpenters in order to decrease the number of defects in the furniture production. She wants to check if the incentive plan worked. The manager selected 9 carpenters at random, recorded their annual defects before and after the incentive and came up with the following:

Notice, that a positive outcome of an incentive plan is confirmed with a positive mean of the differences (difference equals before minus after).

Given that the null hypothesis and the alternative hypothesis are:

  H₀: μ_d ≤ 0
  H₁: μ_d > 0

and using a 0.1 significance level, answer the following:

b) Compute the mean of the difference.
For full marks your answer should be accurate to at least two decimal places.

Mean: 0

c) What is the value of the test statistic?
For full marks your answer should be accurate to at least two decimal places.

Test statistic: 0

Question 4 options:

To determine if Reiki is an effective method for treating pain, a pilot study was carried out where a certified second-degree Reiki therapist provided treatment on volunteers. Pain was measured using a visual analogue scale (VAS) immediately before and after the Reiki treatment (Olson & Hanson, 1997). The data is in is in following table:

Table: Pain Measures Before and After Reiki Treatment

Does the data show that Reiki treatment reduces pain? Test at the 5% level.

(i) Let μ₁= mean VAS before Reiki treatment. Let μ₂ = mean VAS after Reiki treatment. Which of the following statements correctly defines the null hypothesis H_O?

A. μ₁ − μ₂ > 0 (μ_d> 0)

B. μ₁ – μ₂< 0 (μ_d< 0)

C. μ₁ – μ₂ = 0 (μ_d= 0)

D. μ₁ + μ₂= 0

Enter letter corresponding to correct answer

(ii)   Let μ₁= mean VAS before Reiki treatment. Let μ₂ = mean VAS after Reiki treatment. Which of the following statements correctly defines the null hypothesis H_O?

A. μ₁ − μ₂ < 0 (μ_d< 0)

B. μ₁ – μ₂> 0 (μ_d> 0)

C. μ₁ – μ₂ = 0 (μ_d= 0)

D. μ₁ + μ₂= 0

Enter letter corresponding to correct answer

(iii) Enter the level of significance α used for this test:

Enter in decimal form. Examples of correctly entered answers: 0.01    0.02    0.05    0.10

(iv)  Determine sample mean of differences  x¯d

Enter in decimal form to nearest hundredth (no spaces) Examples of correctly entered answers:

0.01 3.37 -11.47    21.00

(v) Determine sample standard deviation of differences s_d

Enter in decimal form to nearest ten-thousandth. Examples of correctly entered answers:

0.0001    0.0200     3.5607      -0.0074

(vi) Calculate and enter test statistic

Enter value in decimal form rounded to nearest ten-thousandth, with appropriate sign (no spaces). Examples of correctly entered answers:

–2.0104      –0.3070        +1.6000        +11.0019

(vii) Determine degrees of freedom for the sample of differences df_d:

Enter value in integer form. Examples of correctly entered answers:

2    5    9    23    77

(viii) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic.

Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers:

0.0001     0.0021     0.0305     0.6004      0.8143    1.0000

(ix) Comparing p-value and α value, which is the correct decision to make for this hypothesis test?

A. Accept H_o

B. Fail to reject H_o

C. Reject H_o

D. Accept H_A

Enter letter corresponding to correct answer.

(x) Select the statement that most correctly interprets the result of this test:

A. The result is statistically significant at .05 level of significance. Sufficient evidence exists to support the claim that the Reiki treatment reduces pain.

B. The result is statistically significant at .05 level of significance. There is not enough evidence to support the claim that the Reiki treatment reduces pain.

C. The result is not statistically significant at .05 level of significance. There is not enough evidence to support the claim that the Reiki treatment reduces pain.

D. The result is not statistically significant at .05 level of significance. Sufficient evidence exists to support the claim that the Reiki treatment reduces pain.

Enter letter corresponding to most correct answer

Crane Company issues $5040000, 7%, 5-year bonds dated January 1, 2020 on January 1, 2020. The bonds pay interest semiannually on June 30 and December 31. The bonds are issued to yield 6%. What are the proceeds from the bond issue?