Is HDTV ownership related to quantity of purchases of other
electronics? A Best Buy retail outlet collected the following data
for a random sample of its recent customers. At α = 0.10,
is the frequency of in-store purchases independent of the number of
large-screen HDTVs owned (defined as 50 inches or more)?
| In-Store Purchases Last Month | |||||||||||||||
| HDTVs Owned | None | One | More Than One | Row Total | |||||||||||
| None | 12 | 13 | 14 | 39 | |||||||||||
| One | 17 | 33 | 30 | 80 | |||||||||||
| Two or More | 18 | 45 | 65 | 128 | |||||||||||
| Col Total | 47 | 91 | 109 | 247 | |||||||||||
(b) Calculate the chi-square test statistic,
degrees of freedom, and the p-value. (Round your
test statistic value to 2 decimal places and the p-value
to 4 decimal places.)
| Test statistic | ||
| d.f. | ||
| p-value | ||
(c) Find the critical value for chi-Square. Refer
to the chi-square Appendix E table. (Round your answer to 2
decimal places.)
Critical
value
2)
Oxnard Kortholt, Ltd., employs 50 workers. Research
question: At α = .05, do Oxnard employees differ
significantly from the national percent distribution?
| Health Care Visits | National Percentage | Oxnard Employees Frequency | ||||
| No visits | 15.6 | 3 | ||||
| 1–3 visits | 43.9 | 19 | ||||
| 4–9 visits | 25.1 | 13 | ||||
| 10 or more visits | 15.4 | 15 | ||||
| Total | 100.0 | 50 | ||||
) Calculate the chi-square test statistic, degrees of
freedom and the p-value. (Round your test
statistic value to 3 decimal places and the p-value to 4
decimal places.)
| Test statistic | |
| d.f. | |
| p-value | |
In: Statistics and Probability
If a citizen of Ireland is selected at random, the probability they have red hair is 0.11. If several citizens are selected, assume it is done one at a time with replacement and consecutive selections are independent of each other. n=6 citizens will be randomly selected.
14a) What is the probability all six citizens will have red hair?
14b) What is the probability at least one will have red hair?
14c) What is the probability the first four randomly selected citizens will have red hair and the last two will not?
14d) What is the probability exactly 4 of the 6 citizens will
have red hair? Hints:
What is the difference between this question and the last one? How
many different ways can 4 “reds” and 2 “not-reds” be ordered?
In: Statistics and Probability
A pure-breeding Rat strain displays two distinct rare traits.
When a male from this pure breeding mutant strain is
crossed to a wild type female all the female F1 display both traits
and the male F1 look wild type.
A] What is the mode of inheritance for these traits?
B] The F1 mice described above are inter-crossed to produce an F2
generation. 40% of the male F2 generation show
both traits, 40% are wild type and the remaining 20% are split
between displaying one trait or the other. What fraction
of the female F2 progeny are expected to show both of the rare
traits?
C] What is the map distance (in m.u.) between the two genes
specifying these rare traits?
In: Biology
Consider an individual who must drive to his place of work. Assume that there are 16 available hours in the day, that his wage rate is $20 per hour, and that he has nonlabour income of $100 per day. The commute takes one hour each day and it costs $40 in expenses for the round trip. Using a work-eisure diagram, depict his labour supply choice, including his reservation wage. Analyze the impact of an increase in commuting costs on his participation and hours decision. Analyze the impact, first of an increase in commuting time from two to four hours per day, and, second, of an increase in driving expenses from $40 to $60 per round trip, keeing commuting time at two hours.
In: Economics
Records of 40 used passenger cars and 40 used pickup trucks were randomly sampled to investigate
whether there was any significant difference in the mean time in years that they were kept by the original
owner before being sold. For the sampled cars, the mean was 5.3 years with a standard deviation of 2.2
years. For the sampled pickup trucks, the mean was 7.1 years with a standard deviation of 3.0 years.
(Assume that the two samples are independent.)
a) Construct and interpret the 90% confidence interval estimate of the difference between the mean time for all passenger cars and the mean time for all pickup trucks.
b) Does there appear to be a significant difference between the two population means? Is one higher than
the other? If so, who keeps their vehicles longer?
In: Statistics and Probability
Warren Plastic, LLC complete these transactions in year 1 and
year 2. Give general journal entries for them.
date yr
2/20 1 Purchased equipment for 40,000, signed an 8-month note,
7%.
2/28 1 Recorded the month's sales of 200,000, one-eighth cash,
seven-eighths credit.
Sales tax rate is 5.25%
3/20 1 Sent Feb. sales tax to the state.
4/30 1 Borrowed $255,000 on a long-term note, 7% note payable
Annual interest is to be paid each year on 4-30, starting yr.
2.
10/20 1 paid off the note dated 2-20-yr 1
11/30 1 bought inventory at a cost of 12,500. Signed a 3 month
3.25% note.
12/31 1 Accrued warranty expense, estimated at 2% of 2,400,000 of
sales
12/31 1 Accrued Interest on ALL outstanding notes.
2/28 2 Paid off the inventory note at maturity, including
interest.
4/30 2 Paid the annual interest on the 255,000 note.
In: Accounting
Brandon Lang is a creative entrepreneur who has developed a novelty soap item called Jackpot to target consumers with a gambling habit. Inside each bar of Jackpot shower soap is a single rolled-up bill of U.S. currency. The currency (rolled up and sealed in shrinkwrap) is appropriately inserted into the soap mixture prior to the cutting and stamping procedure. The distribution of paper currency (per 1000 bars of soap) is given in the following table. Distribution of Paper Currency Prizes Bill Denomination Number of Bills $1 470 $5 240 $10 160 $20 90 $50 39 $100 1 Total 1,000
(a) What is the expected amount of money in a single bar of Jackpot soap? If required, round your answer to two decimal places. Expected value =
(b) What is the standard deviation of the money in a single bar of Jackpot soap? If required, round your answer to two decimal places. Standard deviation =
(c) How many bars of soap would a customer have to buy so that, on average, he or she has purchased four bars containing a $50 or $20 bill? If required, round up your answer to the next whole number. Number of bars of soap =
(d) If a customer buys 7 bars of soap, what is the probability that at least one of these bars contains a bill of $20 or larger? If required, round your answer to four decimal places. Probability =
In: Statistics and Probability
Approximately 14 million Americans are addicted to drugs and
alcohol. The federal government estimates that these addicts cost
the U.S. economy $300 billion in medical expenses and lost
productivity. Despite the enormous potential market, many biotech
companies have shied away from funding research and development
(R&D) initiatives to find a cure for drug and alcohol
addiction. Your firm – Drug Abuse Sciences (DAS) – is a notable
exception. It has spent $190 million to date working on a cure, but
is now at a crossroads. It can either abandon its program or invest
another $55 million today. Unfortunately, the firm’s opportunity
cost of funds is 9 percent and it will take another five years
before final approval from the Federal Drug Administration is
achieved and the product is actually sold. Expected (year-end)
profits from selling the drug are presented in the accompanying
table.
|
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |
Year 6 |
Year 7 |
Year 8 |
Year 9 |
|
$0 |
$0 |
$0 |
$0 |
$12,800,000 |
$14,200,000 |
$16,100,000 |
$18,600,000 |
$20,700,000 |
What is the net present value of the project?
Instruction: Enter your response rounded to the
nearest penny (two decimal places). Use a negative sign (-) where
appropriate.
______________
In: Economics
Iconic memory is a type of memory that holds visual information for about half a second (0.5 seconds). To demonstrate this type of memory, participants were shown three rows of four letters for 50 milliseconds. They were then asked to recall as many letters as possible, with a 0-, 0.5-, or 1.0-second delay before responding. Researchers hypothesized that longer delays would result in poorer recall. The number of letters correctly recalled is given in the table.
| Delay Before Recall | ||
|---|---|---|
| 0 | 0.5 | 1 |
| 9 | 4 | 5 |
| 5 | 9 | 1 |
| 7 | 9 | 4 |
| 6 | 6 | 5 |
| 10 | 5 | 2 |
| 11 | 3 | 7 |
(a) Complete the F-table. (Round your values for MS and F to two decimal places.)
| Source of Variation | SS | df | MS | F |
|---|---|---|---|---|
| Between groups | ||||
| Within groups (error) | ||||
| Total |
(b) Compute Tukey's HSD post hoc test and interpret the results.
(Assume alpha equal to 0.05. Round your answer to two decimal
places.)
The critical value is for each pairwise comparison.
Which of the comparisons had significant differences? (Select all
that apply.)
The null hypothesis of no difference should be retained because none of the pairwise comparisons demonstrate a significant difference.Recall following no delay was significantly different from recall following a one second delay.Recall following a half second delay was significantly different from recall following a one second delay.Recall following no delay was significantly different from recall following a half second delay.
In: Statistics and Probability
Answer choices A and B are summary statistics. Answer choices C through K are inference techniques. Each answer choice is to be used only once.
Summary Statistics: A. Mean B. Five-number summary
Inference Techniques: C. 1-sample mean t-test D. Matched pairs E. 2-sample comparison of means F. One-way ANOVA G. Two-way ANOVA H. Simple linear regression I. Multiple regression J. 1-sample proportion test K. Chi-square test
_____ Part One. In the population, is there an association between the brand of the car owned by a person and the type of job that person has?
_____ Part Two. Is there evidence that the average height of men in the US has increased from 70 inches over the past ten years?
_____ Part Three. Is there evidence that the mean age of vegetarians is greater than the mean age of non-vegetarians in the US?
_____ Part Four. Is there evidence that the mean of the differences between the weight of a person, before and after following a low carb diet for three months, is greater than five pounds?
_____ Part Five. What is the interquartile range for the grades obtained by students in Stat 301 last semester? All grades are available for analysis.
_____ Part Six. Do the university, the school (liberal arts, science, engineering, technology, etc.) and the interaction between those two factors influence the salary of college professors?
_____ Part Seven. Is there evidence that the mean price of California oranges is not the same in Indiana, Illinois and Ohio?
_____ Part Eight. Is there evidence that the percentage of vegetarians in the US is less than 5%?
_____ Part Nine. In the population, can the long jump distance of a ten-year-old be predicted based on his/her height?
_____ Part Ten. What is the mean number of pets of the twenty neighbors of Russell street? Data is collected from all the twenty neighbors in that street.
_____ Part Eleven. Can the weight of a person be predicted based on time dedicated to exercise daily, their age and the amount of milk he/she consumes daily?
In: Statistics and Probability