Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean μ = 60.0 kg and standard deviation σ = 8.6 kg. Suppose a doe that weighs less than 51 kg is considered undernourished.
(a) What is the probability that a single doe captured (weighed
and released) at random in December is undernourished? (Round your
answer to four decimal places.)
(b) If the park has about 2900 does, what number do you expect to
be undernourished in December? (Round your answer to the nearest
whole number.)
does
(c) To estimate the health of the December doe population, park
rangers use the rule that the average weight of n = 65
does should be more than 57 kg. If the average weight is less than
57 kg, it is thought that the entire population of does might be
undernourished. What is the probability that the average weight
x for a random sample of 65 does is less than 57 kg
(assuming a healthy population)? (Round your answer to four decimal
places.)
(d) Compute the probability that x< 61 kg for 65 does
(assume a healthy population). (Round your answer to four decimal
places.)
Suppose park rangers captured, weighed, and released 65 does in
December, and the average weight was x= 61 kg. Do you
think the doe population is undernourished or not? Explain.
Since the sample average is above the mean, it is quite likely that the doe population is undernourished.
Since the sample average is above the mean, it is quite unlikely that the doe population is undernourished.
Since the sample average is below the mean, it is quite likely that the doe population is undernourished.
Since the sample average is below the mean, it is quite unlikely that the doe population is undernourished.
In: Math
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 120 engines and the mean pressure was 7.1 lbs/square inch. Assume the variance is known to be 0.81. If the valve was designed to produce a mean pressure of 7.3lbs/square inch, is there sufficient evidence at the 0.1 level that the valve performs below the specifications?
State the null and alternative hypotheses for the above scenario.
In: Math
What does the sigma level capability mean for a process? Explain at least two reasons for the importance of achieving six-sigma capability.
In: Math
Fully describe a situation where you believe a statistical correlation or regression would be of interest and describe the study and how linear correlation or regression would further the aims of the study.
In: Math
Define each of the following terms and describe how the healthcare administrator uses each of them in quantitative analysis:
a. Estimation
b. Sampling
c. Organizing data
d. Presenting data
e. Interpreting results
In: Math
Using the data set (link below), please calculate a one-way chi-square tests for President Obama approval rating for the first years in office. Specifically run chi-square on the "Approving" column.
This is the information provided.
| Approving |
| 49 |
| 51 |
| 51 |
| 53 |
| 52 |
| 51 |
| 51 |
| 50 |
| 51 |
| 49 |
| 50 |
| 50 |
| 52 |
| 51 |
| 49 |
| 48 |
| 48 |
| 48 |
| 50 |
| 50 |
| 50 |
| 47 |
| 49 |
| 52 |
| 52 |
| 51 |
| 49 |
| 51 |
| 51 |
| 51 |
| 49 |
| 49 |
| 49 |
| 49 |
| 49 |
| 48 |
| 49 |
| 49 |
| 50 |
| 50 |
| 50 |
| 53 |
| 53 |
| 54 |
| 52 |
| 53 |
| 51 |
| 54 |
| 53 |
| 54 |
| 52 |
| 52 |
| 52 |
| 50 |
| 50 |
| 53 |
| 55 |
| 55 |
| 53 |
| 51 |
| 51 |
| 51 |
| 52 |
| 55 |
| 54 |
| 54 |
| 51 |
| 50 |
| 50 |
| 51 |
| 53 |
| 54 |
| 52 |
| 53 |
| 52 |
| 56 |
| 56 |
| 56 |
| 54 |
| 53 |
| 53 |
| 51 |
| 50 |
| 51 |
| 52 |
| 53 |
| 54 |
| 54 |
| 53 |
| 52 |
| 51 |
| 51 |
| 52 |
| 50 |
| 51 |
| 51 |
| 53 |
| 53 |
| 52 |
| 52 |
| 51 |
| 51 |
| 52 |
| 53 |
| 53 |
| 52 |
| 51 |
| 51 |
| 51 |
| 51 |
| 52 |
| 53 |
| 55 |
| 55 |
| 54 |
| 52 |
| 51 |
| 50 |
| 50 |
| 50 |
| 50 |
| 51 |
| 51 |
| 52 |
| 54 |
| 53 |
| 53 |
| 51 |
| 51 |
| 52 |
| 53 |
| 54 |
| 55 |
| 54 |
| 53 |
| 53 |
| 54 |
| 55 |
| 55 |
| 58 |
| 58 |
| 56 |
| 56 |
| 55 |
| 56 |
| 55 |
| 56 |
| 54 |
| 52 |
| 53 |
| 54 |
| 56 |
| 56 |
| 55 |
| 56 |
| 55 |
| 57 |
| 59 |
| 61 |
| 60 |
| 60 |
| 58 |
| 58 |
| 59 |
| 60 |
| 59 |
| 58 |
| 58 |
| 58 |
| 57 |
| 56 |
| 58 |
| 59 |
| 60 |
| 62 |
| 61 |
| 63 |
| 60 |
| 59 |
| 57 |
| 59 |
| 59 |
| 61 |
| 60 |
| 60 |
| 57 |
| 57 |
| 58 |
| 61 |
| 61 |
| 62 |
| 61 |
| 62 |
| 63 |
| 61 |
| 60 |
| 59 |
| 61 |
| 62 |
| 62 |
| 62 |
| 62 |
| 63 |
| 63 |
| 64 |
| 62 |
| 63 |
| 62 |
| 64 |
| 64 |
| 65 |
| 64 |
| 64 |
| 62 |
| 64 |
| 64 |
| 65 |
| 63 |
| 64 |
| 63 |
| 65 |
| 63 |
| 64 |
| 64 |
| 65 |
| 66 |
| 66 |
| 66 |
| 66 |
| 67 |
| 66 |
| 67 |
| 67 |
| 68 |
| 67 |
| 65 |
| 63 |
| 63 |
| 63 |
| 65 |
| 65 |
| 66 |
| 65 |
| 65 |
| 64 |
| 63 |
| 63 |
| 62 |
| 61 |
| 62 |
| 62 |
| 63 |
| 62 |
| 63 |
| 62 |
| 60 |
| 59 |
| 60 |
| 61 |
| 61 |
| 62 |
| 63 |
| 62 |
| 61 |
| 60 |
| 59 |
| 60 |
| 60 |
| 62 |
| 62 |
| 62 |
| 63 |
| 63 |
| 65 |
| 65 |
| 64 |
| 62 |
| 62 |
| 61 |
| 62 |
| 61 |
| 61 |
| 61 |
| 62 |
| 63 |
| 62 |
| 62 |
| 62 |
| 62 |
| 62 |
| 62 |
| 62 |
| 61 |
| 62 |
| 63 |
| 64 |
| 67 |
| 67 |
| 65 |
| 61 |
| 59 |
| 62 |
| 63 |
| 63 |
| 62 |
| 62 |
| 62 |
| 64 |
| 66 |
| 66 |
| 64 |
| 63 |
| 63 |
| 66 |
| 64 |
| 65 |
| 63 |
| 65 |
| 65 |
| 66 |
| 66 |
| 67 |
| 67 |
| 66 |
| 64 |
| 64 |
| 65 |
| 67 |
In: Math
The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees in 2004 reveals the following dental expenses (in dollars): 115, 370, 250, 93, 540, 225, 177, 425, 318, 182, 275, and 228. The sample mean is ___________. Construct a 95% confidence interval estimate of the mean family dental expenses for all employees of this corporation. The upper boundary/limit is _________ and the lower boundary/limit is ________. (keep two decimal points).
In: Math
Using the data set (link below), please calculate a one-way chi-square tests for President Bush approval rating for the first years in office. Specifically run chi-square on the "Approving" column.
This is the information provided.
| Column1 | Column2 | Column3 |
| Approving | Disapproving | Unsure/NoData |
| 85 | 10 | 3 |
| 85 | 10 | 3 |
| 87 | 8 | 4 |
| 84 | 11 | 3 |
| 86 | 9 | 3 |
| 87 | 8 | 3 |
| 88 | 9 | 2 |
| 89 | 8 | 2 |
| 87 | 9 | 3 |
| 89 | 6 | 4 |
| 85 | 9 | 4 |
| 51 | 39 | 9 |
| 55 | 35 | 9 |
| 57 | 33 | 8 |
| 57 | 35 | 7 |
| 55 | 34 | 10 |
| 55 | 33 | 10 |
| 57 | 34 | 8 |
| 52 | 34 | 13 |
| 50 | 42 | 7 |
| 52 | 34 | 12 |
| 55 | 35 | 9 |
| 55 | 35 | 8 |
| 56 | 31 | 12 |
| 53 | 32 | 14 |
| 62 | 29 | 9 |
| 59 | 29 | 11 |
| 52 | 29 | 18 |
| 58 | 28 | 13 |
| 62 | 21 | 15 |
| 61 | 21 | 16 |
| 57 | 24 | 17 |
| 57 | 25 | 18 |
In: Math
Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at a local health-food restaurant. Let X = Annie's arrival time and Y = Alvie's arrival time. Suppose X and Y are independent with each uniformly distributed on the interval [5, 6]. (a) What is the joint pdf of X and Y? f(x,y) = Correct: Your answer is correct. 5 ≤ x ≤ 6, 5 ≤ y ≤ 6 Correct: Your answer is correct. otherwise (b) What is the probability that they both arrive between 5:30 and 5:45? (c) If the first one to arrive will wait only 20 min before leaving to eat elsewhere, what is the probability that they have dinner at the health-food restaurant? [Hint: The event of interest is A = (x, y): |x − y| ≤ 1/3 . ] (Round your answer to three decimal places.)
In: Math
Question
Sampling is the process of selecting a representative subset of
observations from a population to determine characteristics (i.e.
the population parameters) of the random variable under study.
Probability sampling includes all selection methods where the
observations to be included in a sample have been selected on a
purely random basis from the population. Briefly explain FIVE (5)
types of probability sampling.
In: Math
You have a bag of 10 marbles that has 6 blue ones and 4 red ones.
1.What is the probability of selecting one blue marble?
In: Math
A university would like to examine the relationship between a faculty member's performance rating (measured on a scale of 1-20) and his or her annual salary increase. The table to the right shows these data for eight randomly selected faculty members. Construct a 90% confidence interval for the regression slope. minus Rating minus Increase Rating minus Increase
17 $2300
15 $2100
18 $2500
15 $2600
12 $1700
16 $2100
12 $1700
15 $1900
Construct a 90% confidence interval for the slope.
LCL= ?and UCL= ?
In: Math
An increased number of colleges have been using online resources to research applicants. According to a study from last year, 31% of admissions officers indicated that they visited an applying student's social networking page. A random sample of 400 admissions officers was recently selected and it was found that 126 of them visit the social networking sites of students applying to their college. Using alphaequals0.05, complete parts a and b below. a. Does this sample provide support for the hypothesis that the proportion of admissions officers who visit an applying students' social networking page has increased in the past year? Determine the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0: pequals0.31 Upper H 1: pnot equals0.31 B. Upper H 0: pless than or equals0.31 Upper H 1: pgreater than0.31 C. Upper H 0: pgreater than0.31 Upper H 1: pless than or equals0.31 D. Upper H 0: pgreater than or equals0.31 Upper H 1: pless than0.31 Determine the critical value(s) of the test statistic.
In: Math
Consider the hypotheses below. Upper H 0: mu greater than or equals 65 Upper H 1: mu less than 65 Given that x overbar equals 57.3, s equals 9.7, nequals25, and alphaequals0.10, complete parts a and b below. a) What conclusion should be drawn? Determine the critical value(s). The critical value(s) is(are) nothing. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, t Subscript x overbar. t Subscript x overbarequals nothing (Round to two decimal places as needed.) What conclusion should be drawn? A. Do not reject Upper H 0. There is not sufficient evidence to conclude that muless than65. B. Reject Upper H 0. There is not sufficient evidence to conclude that muless than65. C. Do not reject Upper H 0. There is sufficient evidence to conclude that muless than65. D. Reject Upper H 0. There is sufficient evidence to conclude that muless than65. b) Use technology to determine the p-value for this test. p-valueequals nothing (Round to three decimal places as needed.)
In: Math
Hanna Properties, Inc. specializes in custom home resales in Equestrian Estates. A random sample of 8 currently listed homes provided the following information on size of home and the price of the home. The size data are in hundreds of square feet, rounded to the nearest hundred, and the price data are in thousands of dollars, rounded to the nearest thousand.
| Size (X) | Price (Y) |
| 26 | 235 |
| 27 | 249 |
| 33 | 267 |
| 29 | 269 |
| 34 | 345 |
| 30 | 415 |
| 40 | 475 |
| 22 | 195 |
a) Compute the regression equation for price in terms of size.
b) Interpret the meaning of the regression parameters.
c) Compute r and r2. Interpret these statistics
d) Based upon the model above, what would be the predicted sales price of a home that is 3100 square feet?
In: Math