Refer to the Lincolnville School District bus data.
Conduct a test of hypothesis to reveal whether the mean maintenance cost is equal for each of the bus manufacturers. Use the .01 significance level.
Conduct a test of hypothesis to determine whether the mean miles traveled since the last maintenance is equal for each bus manufacturer. Use the .05 significance level.
Show work in Excel.
ID  Manufacturer  Engine Type  Engine Type (0=diesel)  Capacity  Maintenance cost  Age  Odometer Miles  Miles 
122  Bluebird  Gasoline  1  55  9394  10  116580  11967 
279  Bluebird  Diesel  0  55  1008  2  22672  11925 
500  Bluebird  Gasoline  1  55  5329  5  50765  11922 
520  Bluebird  Diesel  0  55  4794  10  119130  11896 
714  Bluebird  Diesel  0  42  3742  7  73703  11837 
875  Bluebird  Diesel  0  55  4376  9  97947  11814 
600  Bluebird  Diesel  0  55  4832  10  119860  11800 
953  Bluebird  Diesel  0  55  5160  10  117700  11798 
101  Bluebird  Diesel  0  55  1955  4  41096  11789 
358  Bluebird  Diesel  0  55  2775  6  70086  11782 
29  Bluebird  Gasoline  1  55  5352  6  69438  11781 
686  Bluebird  Diesel  0  55  1569  3  34674  11757 
887  Bluebird  Diesel  0  55  3743  8  93672  11704 
464  Bluebird  Gasoline  1  55  2540  3  34530  11698 
43  Bluebird  Gasoline  1  55  8263  9  102969  11615 
704  Bluebird  Diesel  0  55  4218  8  83424  11610 
814  Bluebird  Diesel  0  55  2028  4  40824  11576 
39  Bluebird  Gasoline  1  55  5821  6  69444  11533 
699  Bluebird  Gasoline  1  55  9069  9  98307  11518 
75  Bluebird  Diesel  0  55  3011  6  71970  11462 
982  Bluebird  Diesel  0  55  505  1  10276  11359 
321  Bluebird  Diesel  0  42  2732  6  70122  11358 
884  Bluebird  Diesel  0  55  4364  9  92457  11231 
57  Bluebird  Diesel  0  55  3190  7  79240  11222 
731  Bluebird  Diesel  0  42  3213  6  68526  11168 
135  Bluebird  Diesel  0  55  3560  7  76426  11127 
692  Bluebird  Diesel  0  55  3770  8  93248  11048 
200  Bluebird  Diesel  0  55  5168  10  103700  11018 
540  Bluebird  Gasoline  1  55  3656  4  45284  10945 
660  Bluebird  Gasoline  1  55  6213  6  64434  10911 
482  Bluebird  Gasoline  1  55  10575  10  116534  10802 
984  Bluebird  Diesel  0  55  3809  8  87664  10760 
977  Bluebird  Diesel  0  55  3769  7  79422  10759 
326  Bluebird  Diesel  0  55  4563  9  107343  10724 
554  Bluebird  Diesel  0  42  1826  4  44604  10662 
695  Bluebird  Diesel  0  55  1061  2  23152  10633 
861  Bluebird  Gasoline  1  55  9669  10  106040  10551 
883  Bluebird  Gasoline  1  55  1881  2  20742  10344 
954  Bluebird  Diesel  0  42  5284  10  101000  10235 
768  Bluebird  Diesel  0  42  3173  7  71778  10227 
490  Bluebird  Gasoline  1  55  10133  10  106240  10210 
725  Bluebird  Diesel  0  55  2356  5  57065  10209 
507  Bluebird  Diesel  0  55  3690  7  72849  10095 
40  Bluebird  Gasoline  1  55  9573  10  118470  10081 
918  Bluebird  Diesel  0  55  2470  5  53620  10075 
387  Bluebird  Gasoline  1  55  6863  8  89960  10055 
418  Bluebird  Diesel  0  55  4513  9  104715  10000 
10  Keiser  Gasoline  1  14  4646  5  54375  11973 
751  Keiser  Diesel  0  14  1078  2  22444  11948 
759  Keiser  Diesel  0  55  3952  8  87872  11883 
365  Keiser  Diesel  0  55  3065  6  63384  11778 
162  Keiser  Gasoline  1  55  3143  3  31266  11758 
370  Keiser  Gasoline  1  55  7766  8  86528  11707 
948  Keiser  Diesel  0  42  4342  9  97956  11691 
678  Keiser  Diesel  0  55  3361  7  75229  11668 
481  Keiser  Gasoline  1  6  3097  3  34362  11662 
693  Keiser  Gasoline  1  55  9193  9  101889  11461 
989  Keiser  Diesel  0  55  4795  9  106605  11418 
724  Keiser  Diesel  0  42  3754  8  91968  11344 
732  Keiser  Diesel  0  42  4640  9  101196  11342 
880  Keiser  Gasoline  1  55  8410  9  97065  11336 
61  Keiser  Diesel  0  55  4139  9  103536  11148 
754  Keiser  Diesel  0  14  7380  14  146860  11003 
353  Keiser  Gasoline  1  55  4279  4  45744  10902 
705  Keiser  Diesel  0  42  2152  4  47596  10755 
767  Keiser  Diesel  0  55  2985  6  71538  10726 
120  Keiser  Diesel  0  42  4723  10  110320  10674 
9  Keiser  Gasoline  1  55  3527  4  46848  10591 
603  Keiser  Diesel  0  14  2116  4  44384  10518 
427  Keiser  Gasoline  1  55  6927  7  73423  10355 
45  Keiser  Diesel  0  55  3124  6  60102  10167 
38  Keiser  Gasoline  1  14  5976  6  61662  10140 
396  Thompson  Diesel  0  14  1072  2  21858  11969 
193  Thompson  Diesel  0  14  5922  11  128711  11248 
833  Thompson  Diesel  0  14  3920  8  90968  11112 
671  Thompson  Gasoline  1  14  6733  8  89792  11100 
398  Thompson  Diesel  0  6  4752  9  95922  10802 
156  Thompson  Diesel  0  14  6212  12  140460  10473 
168  Thompson  Gasoline  1  14  7004  7  83006  10315 
314  Thompson  Diesel  0  6  5408  11  128117  10128 
In: Math
The dataset TrafficFlow gives the delay time in seconds for 24 simulation runs in Dresden, Germany, comparing the current timed traffic light system on each run to a proposed flexible traffic light system in which lights communicate traffic flow information to neighboring lights. On average, public transportation was delayed 105 seconds under the timed system and 44 seconds under the flexible system. Since this is a matched pairs experiment, we are interested in the difference in times between the two methods for each of the 24 simulations. For the n=24 differences D, we were given that x¯D=61 seconds with sD=15.19 seconds. We wish to estimate the average time savings for public transportation on this stretch of road if the city of Dresden moves to the new system.
what parameter are we estimating? give correct notation
suppose that we write the 24 differences on 24 slips of paper. describe how to physically use the paper slips to create a bootstrap sample.
what statistic do we for this one bootstrap sample?
if we create a bootstrap distribution using many of these bootstrap statistics what shape do we expect it to be centered?
how can we use the values in the bootstrap distribution to find the standard error?
the standard error 3.1 for one set of 10,000 bootstrap samples. find and interpret a 95% confidence interval for the average time savings.
In: Math
You may need to use the appropriate appendix table or technology to answer this question.
Consider the following hypothesis test.
H_{0}: μ = 30
H_{a}: μ ≠ 30
The population standard deviation is 14. Use α = 0.05. How large a sample should be taken if the researcher is willing to accept a 0.10 probability of making a type II error when the actual population mean is 34?
In: Math
A researcher selects a sample of 49 participants from a population with a mean of 12 and a standard deviation of 3.5. What is the probability of selecting a sample mean that is at least equal to the population mean? 0.50 equal to the probability of selecting a sample mean that is at most equal to the population mean all of the above none of the above
In: Math
Have you ever tried to get out of jury duty? About 25% of those called will find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty.†
(a) If 11 people are called for jury duty, what is the
probability that all 11 will be available to serve on the jury?
(Round your answer to three decimal places.)
(b) If 11 people are called for jury duty, what is the probability
that 5 or more will not be available to serve on the jury?
(Round your answer to three decimal places.)
(c) Find the expected number of those available to serve on the
jury. What is the standard deviation? (Round your answers to two
decimal places.)
μ = people 
σ = people 
(d) How many people n must the jury commissioner contact
to be 95.9% sure of finding at least 12 people who are available to
serve? (Enter your answer as a whole number.)
people
In: Math
For patients who have been given a diabetes test, bloodglucose readings are approximately normally distributed with mean 128 mg/dl and a standard deviation 8 mg/dl. Suppose that a sample of 3 patients will be selected and the sample mean bloodglucose level will be computed. Enter answers rounded to three decimal places.
According to the empirical rule, in 95 percent of samples the SAMPLE MEAN bloodglucose level will be between the lowerbound of _________ and the upperbound of ______
In: Math
Part 1 Binomial Distribution [Mark 20%/cancer type, 40% total mark]
Five year survival chance from any cancer depends on many factors like availability of treatment options, expertise of attending medical team and more. Five year survival rate is also an important measure and it is used by medical practitioners to report prognosis to patients and family. We will be analyzing five year survival rate of two types of cancer, very aggressive and very treatable cancer and to have comparative analysis of cancer in Norway.
(NOTE: due to limitation imposed by our available probability distribution table assume survival rate for breast cancer is 90% and for esophageal cancer is 20%)
To simplify our comparative analysis, we will assume 480 patients were admitted in January 2018. For each type of cancer:
Selected number of patient will survive 5 years 
Probability of breast cancer patient will survive 5 years 
Probability of esophageal cancer patient will survive 5 years 
0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

10 

11 

12 

13 

14 

15 
Part 2 Normal distribution [Mark 30%]
Daily discharge from phosphate mine is normally distributed with a mean daily discharge of 38 mg/L and a standard deviation of 12 mg/L. What proportion of days will the daily discharge exceed 58 mg/L?
Part 3 Normal approximation of binomial Probability Distribution [Mark 30%]
Airlines and hotels often grant reservation in excess to their available capacity, to minimize loss and maximize profitability due to no shows. Suppose that the records of Air Georgian shows that on average, 10% of their prospective passengers will not show up at departure gates. If Air Georgian sells 215 tickets and their plane has capacity for 200 passengers.
In: Math
n 1998, the Nabisco Company launched a “1000 Chips Challenge” advertising campaign in which it was claimed that every 18ounce bag of their Chips Ahoy cookies contains 1000 chips (on average). A curious statistics student purchased 8 randomly selected bags of cookies and counted the chocolate chips. The data is given below:
1200 1019 1214 1087 1214 900 1200 825
a) The student concluded that the data was not normally distributed and wanted to use a Wilcoxon SignedRank test to test the company’s claim. What assumption is needed in this case?
b) Assuming the assumption in part a. is met, at the 1% significance level, do the data provide sufficient evidence to conclude that the average number of chocolate chips in a bag of Chips Ahoy cookies differs from 1000? Carry out the Wilcoxon SignedRank Test by hand.
In: Math
( PLEASE SHOW ALL YOUR WORK)
You will need your ticker code (company abbreviation) for stock prices for this question. Use your ticker code to obtain the closing prices for the following two time periods to obtain two data sets:
March 2, 2019 to March 16, 2019
Data set A
February 16, 2019 to February 28, 2019
Data set B
Take the closing prices from data set B and add 0.5 to each one of them. Treat data sets A and B as hypothetical sample level data on the weights of newborns whose parents smoke cigarettes (data set A), and those whose parents do not (data set B).
a) Conduct a hypothesis test to compare the variances between the two data sets.
b) Conduct a hypothesis to compare the means between the two data sets. Selecting the assumption of equal variance or unequal variance for the calculations should be based on the results of the previous test.
c) Calculate a 95% confidence interval for the difference between means
A  B  
84.09  83.74  
83.22  84.45  
82.35  84.37  
83.39  83.77  
82.65  84.66  
82.09  85.5  
82.49  85.35  
82.19  86.29  
82.32  
82.4  
83.06  
Mean  82.75  84.76625  
SD  0.617770184  0.887612166 
In: Math
8) What proportion of a normal distribution is located between each of the following zscore boundaries?
a. z = –0.25 and z = +0.25
b. z = –0.67 and z = +0.67
c. z = –1.20 and z = +1.20
13) A normal distribution has a mean of μ = 30 and a standard deviation of σ = 12. For each of the following scores, indicate whether the body is to the right or left of the score and find the proportion of the distribution located in the body.
a. X = 33
b. X = 18
c. X = 24
d. X = 39
19) A report in 2010 indicates that Americans between the ages of 8 and 18 spend an average of μ = 7.5 hours per day using some sort of electronic device such as smart phones, computers, or tablets. Assume that the distribution of times is normal with a standard deviation of σ = 2.5 hours and find the following values.
a. What is the probability of selecting an individual who uses electronic devices more than 12 hours a day?
b. What proportion of 8 to 18yearold Americans spend between 5 and 10 hours per day using electronic devices? In symbols, p (5 < X < 10) = ?
In: Math

Please show Excel work:
A. Use α = .05. Test to determine whether the proportions of female and male voters who intend to vote for the Democrat candidate differ? Report the test statistic and the pvalue.
B. Provide a 99% confidence interval for the difference in the proportion of female and male voters who intend to vote for the Democrat candidate
In: Math
1. What demographic variables were measured at the nominal level of measurement in the Oh et al. (2014) study? Provide a rationale for your answer. 2. What statistics were calculated to describe body mass index (BMI) in this study? Were these appropriate? Provide a rationale for your answer. 3. Were the distributions of scores for BMI similar for the intervention and control groups? Provide a rationale for your answer. 4. Was there a signifi cant difference in BMI between the intervention and control groups? Provide a rationale for your answer.
In: Math
We are interested in whether math score (math – a continuous variable) is a significant predictor of science score (science – a continuous variable) using the High School and Beyond (hsb2) data.
State the null and alternative hypotheses and the level of significance you intend to use.
Ho:β=0
H1:β≠0
Alph:0.05
Write the equation for the appropriate test statistic.
t =b/SE(b)
What is your decision rule? Be sure to include the degrees of freedom.
If our t value is greater than the critical value of 1.96 we reject the null hypothesis.
FD= n2=2002= 198=1.96
Using SAS, estimate the means, variances and covariances for math and science scores. Copy and paste the relevant SAS output below.
variable  label  DF  Peramieter Estimate  Standered Error  tvalue  Pr>\t\  95% CI 
intercept  intercept  1  21.7  2.75  7.88  <0.001  16.26,27.13 
science  science score  1  0.596 
0.052 
11.44  <0.001  0.49,0.69 
Using the output from (d), calculate by hand the slope. Be sure to show your work.
Using the output from (d), calculate by hand the intercept. Be sure to show your work
In: Math
Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, the probabilities of Atlanta winning each game are as follows:
Game  1  2  3  4  5  6  7 
Probability of Win  0.65  0.4  0.45  0.55  0.47  0.42  0.6 
a. Set up a spreadsheet simulation model for which whether Atlanta wins or loses each game is a random variable. What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places.
b. What is the average number of games played regardless of winner? If required, round your answer to one decimal place.
In: Math
Assume that a sample is used to estimate a population proportion p. Find the 95% confidence interval for a sample of size 380 with 125 successes. Enter your answer as a trilinear inequality using decimals (not percents) accurate to three decimal places.
___ < p < ____
Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
In: Math