The management of a supermarket wants to adopt a new promotional policy of giving free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditure for all customers at this supermarket will be normally distributed with mean 400 £ and a variance of 900 £2. 1) If the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift? 2) In a sample of 100 customers, what are the number of customers whose expenditure is between 420 £ and 485 £? 3) What is a probability of selecting a customer whose expenditure is differ than the population mean expenditure by at most 50 £? 4) In a sample of 49 customers, what are the number of customers whose mean expenditure is at least 410 £? 5) What is the probability that the expenditure of the first customer exceeds the expenditure of the second customer by at least 20 £?

Q: able to easily calculate the actual percent of dropped calls directly from the entire database of…

A: Given data   sample size, n =2500 population proportion,p= 0.01 Significance level, α=…

Q: (a) How many trucks carried only late variety peaches?

A:

Q: Question 3 Shoprite is a busy center for residents in East Legon and its surrounding community.…

A: A. Existing Scenario: Excel Formulation

Q: Sleep apnea is a condition which the sufferers stop breathing momentarily while they are asleep.…

A:

Q: Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good…

A: The hypotheses for the test are given below. Null hypothesis: H0: p = 0.3 Alternative hypothesis:…

Q: For many years, businesses have struggled with the rising cost of health care. But recently, the…

A: sample size(n)=900 sample proportion(p^)=52%=0.52 confidence level=95%

Q: A country club wants to exam the effects of a new marketing campaign that attempts to get more…

A: Given information: There are 204 new residents who received the coupon for the two month free…

Q: Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good…

A: Givensample size(n)=64x=12significance level(α)=0.02sample proportion(p^)=xn=1264=0.1875

Q: Elana evaluated her Pinteret sales for the first quarter of the year and notced that there was one…

A: Given that  There was one month where sales were really below other months, pulling her average…

Q: a.     What statistical test will you use to test this data ?   b.     State the null and…

A: From provided information it is claimed that, women’s movement has resulted in an increase in the…

Q: Which statement below is true? It is possible for a distribution of scores to have two means. It is…

A: Mean: Mean is the expected value of a set of observations. In other words, mean is he average of the…

Q: uppose that, at the end of last semester, Marie gave her introductory statistics class a final exam.…

A: From the provided information, The number of students who score between (60-80) point = (total…

Q: Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good…

A: It is given that 57 stocks traded on the NYSE that day showed that 12 went up. The hypotheses are…

Q: The value of Fcalc increases as A. variability due to chance decreases

A: as we know that : Fcalc=MSTMSEMST is the mean square of treatments, MSE is the mean square of error

Q: Intergrated products corporation (IPC) needs to estimate its sales for next year. the most recent…

A: For the given data Find a) assuming that the sales data above are representative of sales expected…

Q: The increasing popularity of online shopping has many consumers using Internet access at work to…

A: Population:The set of events or the set of similar items which is of interest for some experiment or…

Q: Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good…

A:

Q: Mariah Jacobsen is the marketing manager at ABC Electronics, a major consumer electronics supplier…

A: Given the last five year sales of ABC Electronics's flagship product- the Wizer Anonymizer (the WA)…

Q: Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good…

A: Given: Total number of stocks in a sample (n) = 61 Number of stocks that went up (x) = 30 Claimed…

Q: Complete the following statements. _____ of the A) The cumulative enrolment is the . enrolment of…

A: Here 4 statements are given with missing terms, we have find missing terms.

Q: What is the ratio of the total jobs at risk in Transportation and Storage to those at riks in…

A: From the above two graphs we have to find the ratio of the total jobs at risk in Transportation and…

Q: Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good…

A: Given,n=72x=24p^=xnp^=2472=0.3333H0:P=0.3H1:P>0.3α=0.10

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!