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An American Society of Investors survey found 30% of individual investors have used a discount broker. In a random sample of nine individuals, what is the probability:

a. Exactly two of the sampled individuals have used a discount broker?

b. Exactly four of them have used a discount broker?

c. None of them has used a discount broker? 


The mean height of a random sample of 133 people is 155 cm and a standard deviation of 15 cm. The proportion of persons taller than 200 cm


If 5 pieces of certain ribbon selected at random have mean breaking strength

of 169.5 pounds with standard deviation 5.7, do they confirm to the

specification mean breaking strength of 180 pounds.

Use t଴.଴ଵ = 3.747 with 4 d.o.f.


Topic: Estamation of population of proportion



Exercise:



In a survey of 300 random households in a particular village, mothers have been


asked if they use cellphones to communicate. There are 76 who have said YES. Use a


95% confidence to estimate the proportion of all mothers who use the cellphone to


communicate.

One-tailed test, o? is known, a = 0.05, n= 34


A random sample of size 100 has a standard deviation of 5.Find

maximum error with 95% confidence.


A random sample of size 100 has a standard deviation of 5.Find

maximum error with 95% confidence.


A firm produces three products. Product A sells for N$60; its variable costs are N$20. Product B sells for N$200; its variable costs are N$120. Product C sells for N$25; its variable costs are N$10. Last year the firm sold 1000 units of A, 2,000 units of B and 10,000 units of C. The firm has fixed costs of N$320,000 per year. Calculate the break-even point of the firm


In a study among kindergarten pupils of s certain private school, the average IQ is 100. A researcher studied the effect of his manipulative device on the intelligence of the children. A sample of 25 students who used the manipulatives has a mean of 140 with a standard deviation of 20. If the IQ of the students follows a normal distribution, what is the t-value?


You are working for a transport company and recently extracted the following data from your Transport Management System for the purpose of making forecasts for year 6. Use exponential smoothing with trend adjustment (FIT) to forecast deliveries for period 6. Let alpha (𝛼) =0.4, beta (𝛽)= 0.2, and let the initial trend value be 4 and the initial forecast be 200.


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