Question

In: Statistics and Probability

. Suppose you own a factory. You want to determine whether the level of illumination on the assembly...

. Suppose you own a factory. You want to determine whether the level of illumination on the assembly line affects worker productivity. One day, you have one group of 5 employees work under very dim lighting, a second group of 5 employees work under a moderate level of light, and a third group of 5 employees work under very bright lights. The mean productivity (number of units assembled) for the low light group was 56; for the moderate light group, 68; for the bright light group, 60. (5 pts)

a) State the appropriate null and alternative hypotheses (1 pt)

b) Complete the following source table describing the results of an ANOVA testing the significance of the difference between the sample means for α = .05. (3.5 pts)

Source	df	SS	MS	F
Between		124.8
Within		189.8
Total

c) What is the critical value of F? (1 pt)

d) On the basis of these results, would you reject or fail to reject H₀? (1/2 pt)

e) What does this mean in terms of the alternative hypothesis? (1 pt)

f) Conduct a Tukey’s HSD test to test the differences between all possible pairs of sample means at the .05 level of significance and complete the following table. (3 pts)

Comparison		Q
Low – Moderate
Moderate – Bright
Low – Bright

g) What is the value of Q_CRIT? (1 pt)

h) Which pairs of sample means are significantly different? (1 pt)

Expert Solution

orchestra answered 2 years ago

Suppose you own a factory. You want to determine whether the level of illumination on the...

Suppose you own a factory. You want to determine whether the level of illumination on the assembly line affects worker productivity. One day, you have one group of 5 employees work under very dim lighting, a second group of 5 employees work under a moderate level of light, and a third group of 5 employees work under very bright lights. The mean productivity (number of units assembled) for the low light group was 56; for the moderate light group, 68;...

5. Thank you!! A researcher is interested in determining whether the illumination level in a...

5. Thank you!! A researcher is interested in determining whether the illumination level in a room affects how quickly clients can be put into a trance. The time (in seconds) it took for five clients to go into a trance when it was done in a room that was lit with low light was measured, as was the time it took for the same clients to go into a trance in a brightly lit room. The theory being tested...

A researcher is interested in determining whether the illumination level in a room affects how quickly...

A researcher is interested in determining whether the illumination level in a room affects how quickly clients can be put into a trance. The time (in seconds) it took for five clients to go into a trance when it was done in a room that was lit with low light was measured, as was the time it took for the same clients to go into a trance in a brightly lit room. The theory being tested does not predict which...

Suppose that the director of manufacturing at a clothing factory needs to determine whether a new...

Suppose that the director of manufacturing at a clothing factory needs to determine whether a new machine is producing a particular type of cloth according to the manufacturer’s specifications, which indicate that the cloth should have a mean breaking strength of 70 pounds and a standard deviation of 3.5 pounds. A sample of 49 pieces reveals a sample mean of 69.1 pounds. The director is willing to tolerate a probability of .05 of rejecting the null hypothesis when it is...

Suppose you want to determine whether the brand of laundry detergent used and the temperature affects...

Suppose you want to determine whether the brand of laundry detergent used and the temperature affects the amount of dirt removed from your laundry. To this end, you buy two different brand of detergent ( Super and Best) and choose three different temperature levels (cold, warm, and hot). Then you divide your laundry randomly into 6r piles of equal size and assign each r=4 piles into the combination of (Super and Best) and (cold,warm, and hot). super best cold 4,5,6,5...

Suppose you want to determine whether the brand of laundry detergent used or the temperature affects...

Suppose you want to determine whether the brand of laundry detergent used or the temperature affects the amount of dirt removed from your laundry. To this end, you buy two different brand of detergent (A and B) and choose three different temperature levels (“cold”, “warm”, and “hot”). Then you divide your laundry randomly into 12 piles of equal size and dirtiness and wash them in a combination of detergent and water temperature. The results you get are as follows, Grams...

Suppose that you want to determine whether a ligand X is a weak-field or strong-field ligand....

Suppose that you want to determine whether a ligand X is a weak-field or strong-field ligand. Would you synthesize an octahedral complex of ligand X with Cr3+ or Co3+? Explain your reasoning and illustrate with relevant appropriate crystal-field energy diagrams for each complex.

Suppose that we want to determine whether or not amount of light exposure is linked to...

Suppose that we want to determine whether or not amount of light exposure is linked to depression. We identify 5,000 participants across the United States with no intention of moving to a different permanent residence within the next two years and classify them as living in an area with high or low light exposure. We exclude those who are experiencing depression symptoms at baseline. We then follow them up for two years and determine whether they have experienced depression since...

Suppose you are a financial manager of a company and you want to determine the price...

Suppose you are a financial manager of a company and you want to determine the price of the stock. The most recent annual (2019) dividend payment of the company, was $8 per share. You expect that these dividends will grow at a 5% annual rate over the next five years. At the end of the fifth year (i.e. the end of 2024) the dividend growth rate is expected to increase to 6.5% for the foreseeable future. If the firm’s required...

Ahmed and Mohammed want to start their own business. They are thinking to establish a factory...

Ahmed and Mohammed want to start their own business. They are thinking to establish a factory to manufacture sunglass in Oman. The factory needs an investment of OMR 600,000. Mohamed having OMR 150,000 and Ahmed having OMR 250,000. They have a shortage of OMR 200,000. Ahmed suggests to take loan from Bank but Mohammed suggests to sell shares to manage the investment shortage. They are confusing regarding the suitable source of finance to manage the investment shortage. This will affect...