Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5 % significance level. Test Upper H Subscript 0 Baseline : p equals 0.5 vs Upper H Subscript a Baseline : p greater-than 0.5 using the sample results p Overscript ^ EndScripts equals 0.56 with n equals 39 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places. test statisticequals p-valueequals Conclusion:

A string quartet consists of two violinists, a violist, and a cellist. A survey of 100 string quartets (400 musicians) reported that 98 cellists had no violin experience and 74 violists had violin experience.
1. What is the probability of selecting a musician who plays or had played the violin?
2. Conditional on selecting a non-cellist, what is the probability of selecting someone who neither plays nor played the violin?
3. Suppose you want to study the monetary implications of switching instruments. What is the minimum probability of selecting a quartet in which at least one player has switched? State, make, and use minimal assumptions as needed.

An ice cream shop sells five-scoop ice cream cones, allowing customers to pick which flavors they want stacked on their cone. The shop has the following ice cream flavors available: chocolate, vanilla, strawberry, mint & chocolate chip, rocky road, cookies & cream, cookie dough, cotton candy, butter pecan, birthday cake, and cherry. Note that customers can order a five-scoop cone with multiple scoops of the same flavor.

a) How many five-scoop cones are possible if order of the ice cream scoops matter?

b) How many groupings of five flavors are possible for a five-scoop cone (meaning that scoop order is ignored)?

c) If a customer asks to be “surprised” by a randomized five-scoop cone, how likely is it that they will receive a cone with five scoops of the same ice cream flavor if the process is truly random?

Nanuq has a women’s fashion store Larmington. The manager of this store is trying to decide how many Jill Cladess dresses to order for this summer season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100 dresses. The contract for the purchase and delivery of dresses between Larmington and Cladess is as follows: At the beginning of October, manager of Larmington reserves Ұ dresses, called as capacity Ұ by both parties. Larmington must take delivery for at least 0.8 Ұ dresses and can, if desired, take delivery on up to its reserved capacity of Ұ dresses. Each dress sells for $160 and Cladess charges $70 per dress. If Larmington does not take delivery of all Ұ dresses they reserved, it owes Cladess a $12 penalty for each unit of reserved capacity that is unused (not delivered to store). Use Ұ as 400 first to calculate the profit to Larmington store.

Work out the average profit due to 100 simulations. Make sure to round off the demand, delivery, sale amounts, revenue, cost and penalty using ‘ROUND’ function in Excel

Now repeat the 100 simulations for each capacity of 450, 500 and 550.

Based on the above four reserved amounts, decide how many dresses Larmington should reserve (value of Ұ) to maximise its profit for the season. Justify your answer.

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. Do you try to pad an insurance claim to cover your deductible? About 39% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 126 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal places.) (a) half or more of the claims have been padded (b) fewer than 45 of the claims have been padded (c) from 40 to 64 of the claims have been padded (d) more than 80 of the claims have not been padded

The graduation rate of college students is a subject of considerable interest and is a frequent topic in the news. College/university administrators use the graduation rate as a barometer of student success at their respective institution. State legislators are interested in the graduation rate since most states subsidize the cost of educating each in-state student at public universities and colleges.

Graduation rates are also used to evaluate university athletic programs. Athletic directors do not relish the negative publicity that results when the graduation rate of athletes is significantly lower than that of the general student body.

This Excel file graduation rates shows recent 6-year graduation rates for athletes and the general student body at 26 universities. The institutions included are all ACC schools, NCSU peer-designated institutions, and two of the larger schools in the UNC system - ECU and UNC-Charlotte.

Question. Use the data above to find the quartiles and the median of the general student body graduation rates and the athlete graduation rates (use the method discussed in class for calculating quartiles; see the Tukey method on p.58 of the ebook/text or p. 23 in Lecture Unit 2 of the coursepack).

____% Q₁, first quartile for general student body graduation rate
_____ % Q₁, first quartile for athlete graduation rate

_____ % median, general student body graduation rate
_______% median, athlete graduation rate

_____% Q₃, third quartile for general student body graduation rate
_____% Q₃, third quartile for athlete graduation rate

Elwin Osbourne, CIO at GFS, Inc., suspects that at least 25% of e-mail messages sent by GFS employees are not business related. A random sample of 300 e-mail messages was selected to test this hypothesis at the 0.01 level of significance. Fifty-four of the messages were not business related. The appropriate decision is _______.

Above data shows 13 values of the variable "distance from hometown to campus" that were provided by the students in a recent statistics class.

A. Find the mean and the median.

_____mean (round to 1 decimal place in your answer)
____median

B. Suppose the family of the student with data value 3000 moves to Tel Aviv, Israel; this changes the data value for this student from 3000 to 6000. Calculate the new mean and new median when 3000 is replaced by 6000.

_____new mean (round to 1 decimal place in your answer)
_____new median

C. Now suppose that the families of the other 5 students whose values are greater than the median also move to new locations so that each student's data value is twice as large as the original data value. (The data values of the students less than the median do not change and the 6000 data value remains at 6000). Calculate the new mean and the new median.

______new mean (round to 1 decimal place in your answer)
_____new median

D. Suppose now that the 6 students whose data values are less than the median also move to new locations so that each student's data value is half as large as the original data value. (Note that half of 0 is 0; all the data values greater than the median keep the same new values from question 3). Calculate the new mean and the new median.

_____ new mean (round to 1 decimal place in your answer)
____new median

There are 2100 workers in the Factory. They want to elect 9 people from a 11 people group to form a standing committe of labor union. And the 9 people elected need to get at least 1050 votes each to make sure their election result is legible. The question is: At least, how many votes are needed to have 9 people from the group elected legibly?

Discuss the differences between histograms, relative frequency histograms, time series graphs, and stem and leaf displays.

A _________________ is an important characteristic related to the response variable which, when unaccounted for, may lead researchers to false conclusions about cause and effect.

Question 2 options:

In a double-blind experiment conducted to study the effectiveness of a new drug to relieve the common cold, a participant was given a sugar pill. After taking the pill, she finds she can breathe more easily, and her condition substantially improved. Which of the following describes this phenomenon?

Question 4 options:

Question 5 (1 point)

Statistics can be an ‘art’ as different statisticians may use different methods of analysis in answering questions pertaining to a study.

Question 5 options:

Question 6 (1 point)

Researchers want to test a new type of surgical procedure. Individuals are randomly placed in one of two groups. Ten individuals receive the new surgery, while the other 10 individuals receive the old surgery as a control. The participants do not know which surgical procedure they receive. Researchers are aware of which individuals are placed in each group. Which of the following characteristics of a controlled experiment has not been satisfied?

Question 6 options:

Question 7 (1 point)

Which of the following would not necessarily be considered one of the four principles of good practice in a controlled experiment?

Question 7 options:

I have a normal process (Anderson-Darling pvalue=.54   and skew=.3. The median

The R chart is out of control (1 outlier). This means that the process variability is unstable, and the control limits on the xbar chart are unreliable. The process is not stable over time. What if anything does this have to do with choosing the center of the distribution? Use the median in this instance. Outliers will not affect median as much as the mean. That is my best guess.

Would you please demonstrate to me how to create dataset A and dataset B,
where dataset A has a larger range but smaller standard deviation than
dataset B. Then the reverse where data set A has a smaller range and larger standard deviation than data set B.