Attached below is the Z table for these questions

Question 1:

The weight of the contents of a can of Campbell's minestrone soup can be modelled by a normal distribution with a mean of 440.3 grams and a standard deviation of 3.9 grams. A random sample of 12 cans is selected for quality control testing. Determine the probability that (to 4 decimal places)

1. A randomly selected can weighs more than 436.0 grams

2. The sample mean of the cans taken for quality control testing will be within the target range of 437.0 to 443.0 grams

Question 2:

The life of cell batteries is normally distributed with a mean of 68.4 hours and a standard deviation of17.6 hours.93% of the batteries will last more than how many hours?(2 decimal places)

Question 3:

Fortune 500 Magazine claimed the average age of all US Chief Executive Officers (CEOs) was 57.2 years with a standard deviation of 5.9 years. If a random sample of 40 USCEOswas selected,what is theprobabilitythat the sample average will be below 55 years of age? Give your answer correct to four decimal places.

Question 4:

The HR manager of a large department store believes the number of resignations per week of casual staff can be approximated by a normal distribution with a mean 32.5 resignations per week and variance of 49.9 resignations per week squared.From a large amount of historical data available on the HR data base regarding weekly resignations for casuals, a sample of 52 weeks was selected.Between which two values should the middle 90% of all sample averages of resignations per week of casual staff lie? Give only the upper value for this range and state the answer to2 decimal places.

Question 5:

A study was conducted to determine the duration of a typical consultation in an urban medical practice.The results showed that the length of a consultation could be closely approximated by a normal distribution with a mean of 12.4 minutes and a variance of 9.75 minutes².

a)Find the probability that a consultation would last less than 9 minutes.(3 decimal places)

b)How many of the individual patients visiting the medicalcentrewill have a consultation time of less than 9 minutes if there are 522 individual patient consultations on a given day?Use your roundedanswer, with 3 decimal places, from part a.(Round your answer to the nearest whole number)

Question 6:

For a sample of size 20, the sampling distribution of Xbar will be normally distributed

(a) regardless of the distribution shape of the variable in the population

(b) if the standard deviation of the population variable Xis known

(c) if the variable Xin the population is normally distributed

(d) if the sample is normally distributed

(c) and (d) are both true

Question 7:

A study measured the amount of consultation time physicians took with patients. From the study, it was determined that the consultation time was normally distributed with a mean of 15 minutes and a standard deviation of 2 minutes.Twenty percent of the patients require more than how many minutes? Select from the answers below.

(a)13.32

(b)16.68

(c)16.00

(d)18.45

Question 8:

The general manager of a logistic consulting group believes that 28% of the firm's orders come from new customers. A simple random sample of 120 orders was selected.Using the manager's belief, determine:

1. The standard error for the sampling distribution of proportion.(3 decimal place)

2. The probability that the proportion of firm's orders that come from new customers is outside the range of 25% to 31%(3 decimal places)

Question 9:

An on-line retailing firm conducts a study into the number of on-line purchases of footwear made during all of last year.The study wants to determine the proportion of Australians over the age of 25 who purchase footwear on-line. The managing director of the on-line retailing firm believes this proportion of Australians is 29%. A random sample of 115 Australians over the age of 25 is selected. If the managing director's claim is true, what is the sample proportion value below which 10% of all sample proportions would exist? Express your answer correct to two decimal places.

Question 10:

The Australian Medical Association recently conducted a study to determine the duration of standard consultations in urban practices. The results showed that the length of consultation could be closely approximated by a normal distribution with a mean of 12.3 minutes and a variance of 9.56 minutes squared. What is the probability a consultation would last for more thana quarter of an hour? Give your answer to four decimal places.

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