
ai) Find the mean number of claims made by the sample of smokers and nonsmokers in the group separately.(i.e mean of smokers, mean of nonsmokers)
ii) What is the standard deviation of family size for this population of workers? (standard deviation of popuation) Standardize by converting your “X” values into “Z” values to see whether their historical values match up well with the new company. Use a Z table Hint: use the (ai) and (aii) values along with the means and standard deviations you calculated.
b) First find the Zvalue for smokers.
c) And now the Z for nonsmokers.
d) Using your Ztable, find the probability that a nonsmoker will make fewer than 6 claims.
e) Next, find the probability that a smoker will make more than 11 claims.
f) Final Recommendation: This firm will be more risky than the current customer risk pool. True or False
In: Math
7. In an area of the Great Plains, records were kept
on the relationship between the rainfall (in inches)
and the yield of wheat (bushels per acre).
Rainfall (in inches) x 
Yield (Bushels per acre) y 
10.5 
50.5 
8.8 
46.2 
13.4 
58.8 
12.5 
59.0 
7.0 
31.9 
16.0 
78.8 
7a. Using the linear
regression feature on your calculator,
find a linear equation that models the
miles per gallon as the respone
variable (y) and the engine size in
liters as the explanatory variable (x). (Use 2 decimal places in
the regression equation.)
7b. Using the line you obtained in 7a. above, compute the sum of
the squared
residuals of the least squares line for the given data. (Use 2
decimal places and show your
calculations, by hand!)
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Jobs are sent to a server at a rate of 2 jobs per minute. We will model job arrivals using a (homogenous) Poisson process. For each question, clearly specify the parameter value(s) of the distribution as well as its name. (a) What is the probability of receiving more than 3 jobs in a period of one minute? (b) What is the probability of receiving more than 30 jobs in a period of 10 minutes? (No need to simplify.) (c) What is the expected value and the variance of interarrival times? (d) Compute the probability that the next job does not arrive during the next 30 seconds. (e) Compute the probability that the time till the fourth job arrives exceeds 40 seconds.
In: Math
Twenty percent of the contestants in a scholarship competition come from Pylesville High School, 40% come from Millerville High School, and the remaining come from Lakeside High School. Two percent of the Pylesville students are among the scholarship winners; 3% of the Millerville contestants and 5% of the Lakeside contestants win. a) If a winner is chosen at random, what is the probability that they are from Lakeside? b) What percentage of the winners are from Pylesville?
In: Math
How are exploratory data analysis (EDA) and hypothesis testing different? Explain why EDA could be preferred in data mining, and justify your explanation with a specific example.
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The scores of the top ten finishers in a recent Buick Open are listed below: Scores 65 66 67 66 67 67 70 71 68 70 Round all solutions one decimal place. You must show ALL of your work to receive credit for these problems. e) Find the variance of the data. f) Find the standard deviation of the data. g) Find quartile one, Q1 , of the data. Interpret the first quartile in the context of the problem. h) Find quartile three, Q 3 , of the data. Interpret the third quartile in the context of the problem. i) Find the interquartile range, IQR, of the data. Interpret the IQR in the context of the problem. j) List the Five Number Summary. k) Construct a BoxandWhisker Plot for the data set. (Don’t forget the title)
In: Math
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1389 referee calls, with the result that 427 of the calls were overturned. Women challenged 779 referee calls, and 227 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0: p 1equalsp 2 Upper H 1: p 1not equalsp 2 Your answer is correct.B. Upper H 0: p 1equalsp 2 Upper H 1: p 1less thanp 2 C. Upper H 0: p 1less than or equalsp 2 Upper H 1: p 1not equalsp 2 D. Upper H 0: p 1equalsp 2 Upper H 1: p 1greater thanp 2 E. Upper H 0: p 1not equalsp 2 Upper H 1: p 1equalsp 2 F. Upper H 0: p 1greater than or equalsp 2 Upper H 1: p 1not equalsp 2 Identify the test statistic. zequals .78 . 78 (Round to two decimal places as needed.) Identify the Pvalue. Pvalueequals .782218435 . 435 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The Pvalue is greater than the significance level of alphaequals0.01, so fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that women and men have equal success in challenging calls. b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is .199 negative . 199less thanleft parenthesis p 1 minus p 2 right parenthesisless than .200 negative . 200. (Round to three decimal places as needed.)
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Joe, Ken and Ben, they live in a shared house. Each Sunday each of the tenants choose uniformly at random and independence of other tenant one part of the house: kitchen(K), living room(L),bathroom(B),garage(G). and cleans it during the week that follows( here week means a period of 7 days starting on Sunday)
(a) what is the probability that the garage is not cleaned during one week?
(b) what is the probability that the kitchen is cleaned exactly once during one week?
In: Math
Assume that you have a sample of
n 1 equals 8n1=8,
with the sample mean
Upper X overbar 1 equals 48X1=48,
and a sample standard deviation of
Upper S 1 equals 4 commaS1=4,
and you have an independent sample of
n 2 equals 12n2=12
from another population with a sample mean of
Upper X overbar 2 equals 35X2=35
and the sample standard deviation
Upper S 2 equals 7.S2=7.
Complete parts (a) through (d) below.
What is the value of the pooledvariance t Subscript STATtSTAT test statistic for testing Upper H 0 : mu 1 equals mu 2H0: μ1=μ2?, In finding the critical value, how many degrees of freedom are there?, Using a significance level of alpha α equals=0.250.25, what is the critical value for a onetail test of the hypothesis, Upper H 0 : mu 1 less than or equals mu 2H0: μ1≤ μ2 against the alternative Upper H 1 : mu 1 greater than mu 2 question mark, What is your statistical decision?
In: Math
H0:
H1:
Problem #2 You are a researcher who wants to know if there is a difference in the means of three different groups you have been working with to stop smoking. You have randomly selected 15 smokers and randomly placed them into three groups. Group one receives traditional treatment, pamphlets and videos on the health risks of smoking. Group two receives a fake treatment in the form of a daily pill, this is a placebo. The third group will receive motivational interviewing treatment within their weekly counseling sessions. All smokers in the three groups smoke on average 20 cigarettes a day. You hypothesize that there will be some difference between the three groups or within the three groups. Using an alpha level of .05, use the fivestep approach to reject or fail to reject the HO: that all three groups will have equal means. Remember to report the P value as well. Critical values to determine the critical region can be found using table H on page 654. You must find the degrees of freedom for the numerator and the denominator. The following data shows how many cigarettes group participants smoked after eight weeks of treatment.
Group 1 Group 2 Group 3
20 18 6
18 20 3
21 23 1
17 19 2
19 18 1
Bonus Points 10. Must answer all possibilities to receive points. What are the independent variables and what is the dependent variable?
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Suppose a simple random sample of size n equals=1000 is obtained from a population whose size is N equals=1,000,000 and whose population proportion with a specified characteristic is p=0.74.
(b) What is the probability of obtaining x=770 or more individuals with the characteristic?
(c) What is the probability of obtaining x=720 or fewer individuals with the characteristic?
(Round to four decimal places as needed.)
How to solve these problems in Statcrunch? Thank you!
In: Math
give examples of descriptive and inferential statistics in healthcare
In: Math
We want to examine the effects of three different diet plans on later weight loss. Three different conditions were created:
Diet A  5,6,7,4,2
Diet B, 10,6,9,8,5
and No Diet, 2,4,5,3,6
and each condition has 5 subjects.
After two weeks on the diet plan, participants’ weight loss was measured.
Is there a difference in the effectiveness of these diet plans?
8. What is your ?????ℎ???  ?????ℎ?? = ?????ℎ?? ?????ℎ?? =
9. What is your Fobs?
Fobs = ????????? ?????ℎ?? =
10. Do you reject or fail to reject your null hypothesis? Explain your decision.
11. What is your effect size?
η 2 = ??? ??? =
12. On average, what value is expected for the Fratio if the null hypothesis is true?
13. An ANOVA is used to evaluate the mean differences among three treatment conditions with a sample of n = 12 participants in each treatment. For this study, what is df total? –
a. 0
b. 1.00
c. Between 0 and 1.00
d. Much greater than 1.00 a. 2 c. 33 b. 11 d. 35
In: Math
The proportion of drivers who use seat belts depends on things like age, sex, and ethnicity. As part of a broader study, investigators observed a random sample of 123 female Hispanic drivers in Boston. 68 of those in the sample were observed wearing a seat belt. Find the 95% confidence interval (±0.0001) for the proportion of all female Hispanic drivers in the Boston area who wear seat belts. The 95% confidence interval is from _ to _
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name and draw two diagnostic plots used to evaluate linear regression and how they would look if all model assumptions are met.
In: Math