Questions
1 (a-c) You ask your graduate student to roll a die 5000 times and record the...

1 (a-c)

You ask your graduate student to roll a die 5000 times and record the results.

a) Give the expected mean and standard deviation of the outcome.

b) The die roll experiment is repeated (though with a different graduate student – for some reason your previous student went to work with a different advisor). However in this case, the die is weighted so that a 6 shows up 11% of the time, a 1 shows up 25% of the time, and all remaining numbers show up 16% (each). Now what is the expected mean and sd of 5000 rolls?

c) What would happen if we changed the experiment to 10,000 rolls?

In: Math

Does a person’s cholesterol level increase with age? Data collected from 1406 adults aged 45 to...

  1. Does a person’s cholesterol level increase with age? Data collected from 1406 adults aged 45 to 62 (with a mean age of 54 years) produced the regression analysis shown. Assuming that the data satisfy the conditions for inference, examine the association between age and cholesterol level.

Dependent variable is Cholesterol

s=46.16

Variable

Coefficient

SE(Coeff)

t-Ratio

P-value

Intercept

194.232

13.55

14.3

≤0.0001

Age

0.771639

0.2574

3

0.0056

  1. State the appropriate hypothesis for the slope.
  2. Test your hypothesis and state your conclusion in the proper context using the t-statistic/p-value.
  3. What’s the value of the standard error for the slope of the regression line? Explain what that means in this context.
  4. Find a 90% confidence interval for the slope and interpret it in this context.
  5. Find a 90% prediction interval for the cholesterol level of Santa Claus if he is 60 years old.
  6. Find a 90% prediction interval for the mean cholesterol level of all adults aged 60.
  7. The intercept is positive. Discuss its value and meaning.

In: Statistics and Probability

Required information [The following information applies to the questions displayed below.]    In 2018, the Westgate...

Required information

[The following information applies to the questions displayed below.]
  

In 2018, the Westgate Construction Company entered into a contract to construct a road for Santa Clara County for $10,000,000. The road was completed in 2020. Information related to the contract is as follows:

2018 2019 2020
Cost incurred during the year $ 2,550,000 $ 4,250,000 $ 1,870,000
Estimated costs to complete as of year-end 5,950,000 1,700,000 0
Billings during the year 2,050,000 4,750,000 3,200,000
Cash collections during the year 1,825,000 4,100,000 4,075,000


Westgate recognizes revenue over time according to percentage of completion.

5. Calculate the amount of revenue and gross profit (loss) to be recognized in each of the three years assuming the following costs incurred and costs to complete information. (Do not round intermediate calculations and round your final answers to the nearest whole dollar amount. Loss amounts should be indicated with a minus sign.)

2018 2019 2020
Cost incurred during the year $ 2,550,000 $ 3,825,000 $ 3,975,000
Estimated costs to complete as of year-end 5,950,000 4,150,000 0

In: Accounting

The effects of three concentrations of the ripening hormone (ethylene) were tested on tomato yield and...

The effects of three concentrations of the ripening hormone (ethylene) were tested on tomato yield and quality. Five tomato cultivars (Shady Lady, Merced, Santa, Chiquita, and Celebrity) were grown in 5 replications in the field. The hormone was applied 4 weeks after flowering. Fruits were harvested 4, 5 and 6 weeks after the hormone application. Number of fruits per plot was counted, and fruits of each plot were classified to three groups of red, yellow-red and yellow. Fruit yield (kg/plot) and sugar concentration were measured. Fruit texture and taste were surveyed in a population of 50 people. For the survey, a sample of the fruits from each plot was given to people to eat and score taste from 1 to 10, and fruit texture from 1-5.

Identify the:

Problem

  1. Hypothesis:
    1. H0:
    1. H1:

Experimental unit:

Experimental material:

Control variable(s)

Independent variable(s):

Dependent variable(s):

    1. Quantitative variable(s):
    2. Qualitative variable(s):
    1. Continuous variable(s):
    2. Discrete variable(s):

In: Statistics and Probability

Required information [The following information applies to the questions displayed below.] In 2021, the Westgate Construction...

Required information

[The following information applies to the questions displayed below.]

In 2021, the Westgate Construction Company entered into a contract to construct a road for Santa Clara County for $10,000,000. The road was completed in 2023. Information related to the contract is as follows:

2021 2022 2023
Cost incurred during the year $ 2,580,000 $ 4,042,000 $ 2,175,800
Estimated costs to complete as of year-end 6,020,000 1,978,000 0
Billings during the year 2,060,000 4,562,000 3,378,000
Cash collections during the year 1,830,000 4,200,000 3,970,000


Westgate recognizes revenue over time according to percentage of completion.

4. Calculate the amount of revenue and gross profit (loss) to be recognized in each of the three years assuming the following costs incurred and costs to complete information. (Do not round intermediate calculations and round your final answers to the nearest whole dollar amount. Loss amounts should be indicated with a minus sign.)

2021 2022 2023
Costs incurred during the year $ 2,580,000 $ 3,830,000 $ 3,230,000
Estimated costs to complete as of year-end 6,020,000 3,130,000 0

In: Accounting

Required information [The following information applies to the questions displayed below.] In 2021, the Westgate Construction...

Required information

[The following information applies to the questions displayed below.]

In 2021, the Westgate Construction Company entered into a contract to construct a road for Santa Clara County for $10,000,000. The road was completed in 2023. Information related to the contract is as follows:

2021 2022 2023
Cost incurred during the year $ 2,580,000 $ 4,042,000 $ 2,175,800
Estimated costs to complete as of year-end 6,020,000 1,978,000 0
Billings during the year 2,060,000 4,562,000 3,378,000
Cash collections during the year 1,830,000 4,200,000 3,970,000


Westgate recognizes revenue over time according to percentage of completion.

5. Calculate the amount of revenue and gross profit (loss) to be recognized in each of the three years assuming the following costs incurred and costs to complete information. (Do not round intermediate calculations and round your final answers to the nearest whole dollar amount. Loss amounts should be indicated with a minus sign.)

2021 2022 2023
Costs incurred during the year $ 2,580,000 $ 3,830,000 $ 3,990,000
Estimated costs to complete as of year-end 6,020,000 4,160,000 0

In: Accounting

Required information [The following information applies to the questions displayed below.] In 2018, the Westgate Construction...

Required information

[The following information applies to the questions displayed below.]

In 2018, the Westgate Construction Company entered into a contract to construct a road for Santa Clara County for $10,000,000. The road was completed in 2020. Information related to the contract is as follows:

2018 2019 2020
Cost incurred during the year $ 2,604,000 $ 4,032,000 $ 1,940,400
Estimated costs to complete as of year-end 5,796,000 1,764,000 0
Billings during the year 2,040,000 4,596,000 3,364,000
Cash collections during the year 1,820,000 4,000,000 4,180,000


Westgate recognizes revenue over time according to percentage of completion.


rev: 09_15_2017_QC_CS-99734

4. Calculate the amount of revenue and gross profit (loss) to be recognized in each of the three years assuming the following costs incurred and costs to complete information. (Do not round intermediate calculations and round your final answers to the nearest whole dollar amount. Loss amounts should be indicated with a minus sign.)

2018 2019 2020
Cost incurred during the year $ 2,604,000 $ 3,820,000 $ 3,220,000
Estimated costs to complete as of year-end 5,796,000 3,120,000 0

In: Accounting

Required information [The following information applies to the questions displayed below.]    In 2018, the Westgate...

Required information

[The following information applies to the questions displayed below.]
  

In 2018, the Westgate Construction Company entered into a contract to construct a road for Santa Clara County for $10,000,000. The road was completed in 2020. Information related to the contract is as follows:

2018 2019 2020
Cost incurred during the year $ 2,204,000 $ 3,192,000 $ 2,424,400
Estimated costs to complete as of year-end 5,396,000 2,204,000 0
Billings during the year 2,140,000 3,256,000 4,604,000
Cash collections during the year 1,870,000 3,200,000 4,930,000


Westgate recognizes revenue over time according to percentage of completion.


rev: 09_15_2017_QC_CS-99734

5. Calculate the amount of revenue and gross profit (loss) to be recognized in each of the three years assuming the following costs incurred and costs to complete information. (Do not round intermediate calculations and round your final answers to the nearest whole dollar amount. Loss amounts should be indicated with a minus sign.)

2018 2019 2020
Cost incurred during the year $ 2,204,000 $ 3,870,000 $ 4,110,000
Estimated costs to complete as of year-end 5,396,000 4,240,000 0

In: Accounting

Required information [The following information applies to the questions displayed below.]    In 2018, the Westgate...

Required information

[The following information applies to the questions displayed below.]
  

In 2018, the Westgate Construction Company entered into a contract to construct a road for Santa Clara County for $10,000,000. The road was completed in 2020. Information related to the contract is as follows:

2018 2019 2020
Cost incurred during the year $ 2,204,000 $ 3,192,000 $ 2,424,400
Estimated costs to complete as of year-end 5,396,000 2,204,000 0
Billings during the year 2,140,000 3,256,000 4,604,000
Cash collections during the year 1,870,000 3,200,000 4,930,000


Westgate recognizes revenue over time according to percentage of completion.


rev: 09_15_2017_QC_CS-99734

4. Calculate the amount of revenue and gross profit (loss) to be recognized in each of the three years assuming the following costs incurred and costs to complete information. (Do not round intermediate calculations and round your final answers to the nearest whole dollar amount. Loss amounts should be indicated with a minus sign.)

2018 2019 2020
Cost incurred during the year $ 2,204,000 $ 3,870,000 $ 3,270,000
Estimated costs to complete as of year-end 5,396,000 3,170,000 0

In: Accounting

Dr. Schwartz wanted to examine the hypothesis that smelling peppermint affects exercise intensity, so she used...

Dr. Schwartz wanted to examine the hypothesis that smelling peppermint affects exercise intensity, so she used random assignment in her first experiment on this topic. The peppermint group exercised in a room in which a peppermint scent was released once each minute, while the no peppermint group exercised in an unscented room. She measured the distance participants cycled in 20 minutes on indoor bicycles. After she completed that first experiment, Dr. Schwartz realized that perhaps her results in the first experiment could be attributable to the failure of random assignment to balance the weight of participants in the two groups. Thinking that this alternative explanation might explain why she got nonsignificant results in the first experiment, she decided to match participants on weight. She randomly assigned the two heaviest participants to either the peppermint or no peppermint conditions by flipping a coin, and then randomly assigned the next two heaviest participants, and so on.

Using the data shown below, conduct the appropriate statistical test in SPSS to determine whether there is a statistically significant difference between how far the participants in the peppermint condition rode vs. how far participants in the no peppermint condition rode.

Peppermint

No Peppermint

Pair 1

2.3

2.0

Pair 2

2.7

3.1

Pair 3

3.4

3.5

Pair 4

3.0

1.9

  1. What is the design of this experiment?

Single sample

Between subjects

Within subjects

  1. What kind of samples are being used in this experiment?

Matched samples

Dependent samples

The samples are both matched and dependent

Same sample

  1. What is the M for the Peppermint group? (answer to 2 decimal places)
  2. What is the M for the No Peppermint group? (answer to 2 decimal places)
  3. What is the standard deviation for the Peppermint group? (answer to 2 decimal places)
  4. What is the standard deviation for the No Peppermint group?(answer to 2 decimal places)
  5. What is the value of t based on the SPSS output?(answer to 2 decimal places)
  6. What is the p value you see in the SPSS output? (answer to 3 decimal places)
  7. Write a conclusion based on the output you reported in the questions immediately above. Be sure to report the appropriate statistic in APA style.

From the following list of words and symbols, create your APA-style conclusion. Please also use any necessary numbers and punctuation (they are NOT provided in this list), and please include spaces around symbols as needed.

Do not use any words that are not in this list. Use as few words as possible to convey the necessary information. You will NOT use all the words provided.

A

Cycle

Cycled

Did

Distance

Farther

Less

Longer

More

Not

Of

Participants

Peppermint

Same

Smell

Smelled

Than

The

They

When

Who

p

M

t

( )

=   >   <   ≤ ≥

In: Statistics and Probability