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A particular brand of sugar is sold in bags labelled 1kg. The actual weights are approximately normally distributed with a mean of 1004g and a standard deviation of 2.9g.
(a) What is the probability of a customer being sold an underweight (less than 1kg) bag of sugar?
(b) (i) Find the Z score corresponding to the bottom 4% of the N(0,1) distribution.
(ii) Assuming the filling variability achievable by the packaging machine cannot be improved, what would the mean bag weight need to be to ensure that no more than 4% of customers are sold an underweight bag?
How Many M&Ms of each color were eaten?
Body mass index is calculated by dividing a persons weight by the square of his or her height; it is a measure of the extent to which the individual is overweight.
You are the manager of a softball league in the locality in which there are 5 local teams with 10 people each. The league has been arranged for parity so that each local team has 5 good players and 5 bad players.
To determine her blood pressure, Carolyn divides her day into three parts; morning, afternoon, and evening. She then measures her blood pressure at 4 randomly selected times during each part of the day. What type of sampling is used?
A fast food chain restaurant chain claims that lunch will be served within nine minutes of placing your order, or it is free. A sample of eight customers revealed the following waiting times in minutes:
The mean amount of a purchase at the Smith Hardware store is $23.50 with standard deviation of $5.00. The amounts purchased follow normal distribution.
If sales follow a normal distribution with mean = 70,000 and st. deviation= 5,000 per day, how many loaves should Amazing bake daily?
Perform the appropriate test of hypothesis to determine whether Kim's average time has changed. Use alpha=.01. Compute the power of the test if Kim's actual mean swimming time is 147.3 seconds. Interpret the results.
Prepare a 10-13-question survey to gather primary data regarding your selected problem statement. Please note that you will not administer this survey as part of this assignment.
Baseball games are uniformly distributed between 160 minutes and 240 minutes. What is the probability that a 9-inning game will last between 180 and 220 minutes?
Compute the proper measure of association of smoking and lung cancer.
It is estimated that the probability that the general population will live past their 85th birthday is 5.4%. Use the standard normal distribution to approximate this Binomial problem and answer the following questions.
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