At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1257 with a standard deviation of 38 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following.

(a) a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found
between  and  A.D.

(b) a range of years centered about the mean in which about 95% of the data (tree-ring dates) will be found
between  and  A.D.

(c) a range of years centered about the mean in which almost all the data (tree-ring dates) will be found
between  and  A.D.

1.The probability that a patient recovers from a delicate heart operation is 0.9. What is the probability that exactly 5 of the next 7 patients

having this operation survive?

2. On the average a secretary makes 2 typing errors per page. What is the probability that he makes

a) Four or more errors on the next page?

b) No errors?

Suppose x has a distribution with μ = 22 and σ = 16.

(a) If a random sample of size n = 33 is drawn, find μ_x, σ_x and P(22 ≤ x ≤ 24). (Round σ_x to two decimal places and the probability to four decimal places.)

μ_x =

σ_x =

P(22 ≤ x ≤ 24) =

(b) If a random sample of size n = 59 is drawn, find μ_x, σ_x and P(22 ≤ x ≤ 24). (Round σ_x to two decimal places and the probability to four decimal places.)

μ_x =

σ_x =

P(22 ≤ x ≤ 24) =

1. In a study examining the power of imagination, Cervone (1989) asked subjects to think about factors that could influence performance on solving maze-like puzzles. In one condition, participants imagined positive factors that could make the task easier, and in another condition, participants imagined negative factors that would make the task more difficult Later Cervone measured task persistence: how long the participants continued working on task (or how quickly person gave up).

Positive condition:           n = 12                    M = 28                  SS = 280

Negative condtion:         n = 12                    M = 22                  SS = 248

Do the data support the conclusion that imagination can have a significant effect on task persistence? Use α = .05. Also, compute estimated d and r² for the test.

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.

What are the chances that a person who is murdered actually knew the murderer? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim! About 61% of people who are murdered actually knew the person who committed the murder.† Suppose that a detective file in New Orleans has 66 current unsolved murders. Find the following probabilities. (Round your answers to four decimal places.)

(a) at least 35 of the victims knew their murderers


(b) at most 48 of the victims knew their murderers


(c) fewer than 30 victims did not know their murderers


(d) more than 20 victims did not know their murderers

A study published in 2008 in the American Journal of Health Promotion (Volume 22, Issue 6) by researchers at the University of Minnesota (U of M) found that 124 out of 1,923 U of M females had over $6,000 in credit card debt while 61 out of 1,236 males had over $6,000 in credit card debt.

10. Verify that the sample size is large enough in each group to use the normal distribution to construct a confidence interval for a difference in two proportions.

11. Construct a 95% confidence interval for the difference between the proportions of female and male University of Minnesota students who have more than $6,000 in credit card debt (pf - pm). Round your sample proportions and margin of error to four decimal places.

12. Test, at the 5% level, if there is evidence that the proportion of female students at U of M with more that $6,000 credit card debt is greater than the proportion of males at U of M with more than $6,000 credit card debt. Include all details of the test.

1. Assume that a sample is used to estimate a population mean μμ. Find the margin of error M.E. that corresponds to a sample of size 21 with a mean of 58.7 and a standard deviation of 17.9 at a confidence level of 80%.

Report ME accurate to one decimal place because the sample statistics are presented with this accuracy.
M.E. = __________________

Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

2. Express the confidence interval (174.8,273.6)(174.8,273.6) in the form of ¯x ± ME

-x ± ME= ______________ ± _____________

Address the following items for the project to implement change with a new auditing system for CVS Health (https://cvshealth.com)

1. Structure (including alliances, contractual relationships, etc.).

2. Financial data overview: Include a summary of what financial data you examined or would examine. For each financial statement, describe the specific factors that informed you (net revenue, profit loss, balance sheet major).

3.Personnel/Staffing (including provider relationships as appropriate).

4. Implementation schedule: Develop an implementation schedule that identifies the resources and competences in your department and describe how they are matched to the strategic initiative. Identify how your action plan aligns to the organization’s strategic initiatives.

craft breweries that make beer in small batches are experiencing a spectacular growth in bars and liquor stores across the nation. The craft beer industry now boasts of 4269 breweries, representing a 12% market share of the total beer market in the united states (Fortune, March 22, 2016). It has been estimated that 2 craft breweries open every day. Assume this number represents an average that remains the constant over time. a) What is the probability that exactly 4 craft breweries open in a day? b) What is the probability that there are at least 5 craft breweries open in a day? c) What is the probability that exactly 10 breweries open every week? d) What is the probability that at least 20 craft breweries open every week?

For each of the following experiments or investigations indicate whether a fixed-effects or random-effects model is appropriate.

1. Random samples of White and Black employed mothers were queried concerning the number and nature of the physical symptoms that would lead them not to send a child to school.

2. Twenty male Wistar rats were subjected to 22 hours of food deprivation. Tetrahydrocannabinol was injected intraperitoneally at five randomly selected times following the deprivation period. Activity level was recorded following each injection.

3. The effects of completing one, two, three, or four courses in the social sciences on liberalizing political attitudes was investigated using a random sample of 200 college students.

4. The amounts of social interaction initiated by 4- to 6-year-old children classified as severely, moderately, mildly, or non-handicapped were investigate

5. Eight randomly selected doses of testosterone propionate were administered to 80 immature male domestic ducks of the Rouen breed. The dependent exhibited following administration for the drug.

At the significance level of 0.05, are the drug concentrations in Group A and Group B different? Using the most appropriate t test.

Compare the similarities and differences of parametric and nonparametric analysis in the context of data assumptions.

Six-letter code sequences are formed from the letters A through Z (26 letters). The letters can be repeated.
(a) What is the probability that a six-letter sequence formed starts with X, Y, or Z?

(b) What is the probability that 2 X's, 2 Y's, and 2 Z's form the six-letter sequence?

Who did “better” in biology, Matthew who got 63% on a test with a mean of 60 and a standard deviation of 3, or Trevor who got 52% on a test with a mean of 55 with a standard deviation of 5?