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n = 68, ¯x=75, and σ = 8. The sample population is normally distributed. Find the 99% interval estimate for µ.
A sample of 100 Grade 9 students’ ages have been obtained to estimate the mean age of all Grade 9 students. ¯x=16 years and the population variance is 0.75 years. Find the 95% confidence interval for µ.
If 4 cards are dealt from a standard deckof 52 playing cards, what is the probability that
3 will be diamonds?
Using Hypergeometric Distribution
a manufacturer a light bulb produce builds that lasts a mean of 90 50 hours
Plate 9: The Marketing students conducted a survey to compare the length of time it took a male and a female student who belong to the same year level to review their lessons before taking the quarterly assessment in Statistics and Probability. The results of the survey were as follows:
Male
n₁=60
x₁ =5.75 hours
s₁ =1.5 hours
Female
n₂=60
x₂=7.25 hours
s₂=0.75hours
Test the claim, x₁ = x₂, at 0.05 level of significance
the sample population is normally distributed, ¯x=42.5, σ = 3, and n = 30. What is the 90% confidence interval for µ?
1. The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is
660 mg, the standard deviation is 35 mg. Assume the variable is normally distributed. a. If a cup of
ice cream is selected, what is the probability that the cholesterol content will be more than 670 mg?
Random samples of size n-2 are drawn from a finite population consisting of the following numbers 5,6,7,8, and 9.
a. How many possible outcomes are there? b. List all the possible samples and the corresponding mean for each.
sample.
c. Construct the sampling distribution of the sample means.
verify whether the random process x(t)=ysinwt is a wss or not where y is uniformly distributed in (-1,1)
Selling prices (N$ 1 000s) for a sample of 25 two-bedroom house in a certain town are table below: Selling price (NS) Selling price (NS) 1 572 16 689 2 945 17 488 3 831 18 566 4 631 19 987 5 553 20 830 6 871 21 617 7 980 22 760 8 482 23 898 9 570 24 516 10 950 25 969 11 916 12 IS 488 نادر 13 405 14 901 15 554 Required: 1.1 Calculate and interpret the following descriptive statistics measures: a) Mean b) Mode c) Median d) Third quartile e) 60th percentile f) Standard deviation 1.2 Construct a frequency distribution for the random variable Selling price. Use 5 class
