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1) A random sample of 100 observations is obtained from a normally distributed population with a standard deviation of 10. What is a 95% confidence interval for the mean of the population if the sample mean is 40?
2) The mean monthly expenditure on gasoline per household in Slippery Rock is determined by selecting a random sample of 36 households. The sample mean is $68, with a sample standard deviation of $17. What is a 90% confidence interval for the mean monthly expenditure on gasoline per household in Slippery Rock?
3) The Federal Reserve Board made eight interest rate cuts on its benchmark short term rates in a particular year. Credit cards, however, averaged around 14% with the lowest credit cards charging around 8%. A financial analyst believes that the average rate on credit cards that charge monthly fees is lower than the national average of all credit cards. A random sample of 49 different credit cards that charged monthly fees revealed a sample mean of 13.5%. Assume a population standard deviation of 1.4%. Test the financial analyst's belief that the average rate charged by credit cards with monthly fees is less than 14%. Use a 5% significance level.
4) A retail federation conducted a nationwide survey of 1000 adults last October and found that approximately 55% of the respondents planned to do some type of Halloween decorating. The federation claims that households spend an average of $45 on Halloween candy, costumes, and decorations; the total Halloween market is estimated to generate about $7 billion in sales. Suppose that a retail manager in Pembroke wished to determine if the average household in the Pembroke area planned to spend more than $45. A random sample of 25 households yielded a mean of $52 with a standard deviation of $18. Do the data support the belief that the average household in the Pembroke area spends more than $45 in preparation for Halloween; use a significance level of .01.
what is the correct classification of 18x?
The bucket is filled with 36 lb of water and is pulled up at a rate of 4 ft/sec, but water leaks out of the bucket at a rate of 0.6 lb/sec. Find the work done in pulling the bucket to the top of the well (in ft-lb).
From a base elevation of 8300 feet, a mountain in colorado rise to summit elevation of 14, 869 ft over a horizontal distance of 15,842 ft. Find the grade of the peak.
A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 1 or 6. Repetition of digits is permitted.
Decide whether or not the events are mutually exclusive: Having good reading skills and having good math skills.
Find the Fourier series expansions of f(x) = Co + C1x^2 with respect to the following two orthonormal bases on the interval [0,L] (L>0)
The circumference of a sphere was measured to be 70.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
Relationships and patterns involving prime numbers 4.2.5.2.1. Twin prime numbers Consecutive prime numbers with a difference of 2 4.2.5.2.2. Is there a largest prime number? No See p. 238 4.2.5.2.3. What is the largest prime number that has been f..
Find a polar equation to describe curve represented by Cartesian equation 3x^2+3y^2=16
A rectangular enclosure is made from 60 m of fencing. The area enclosed is 216 m2. Find the dimensions of the enclosure.
For all (smooth) polar curves r = f(θ), 0 ≤ θ ≤ π/2, with f(0) = 1 and f(π/2) = 1, and f(θ) ≥ 1 for all 0 ≤ θ ≤ π/2, show that their arc-lengths are greater than or equal to π/2.
Annual profit in thousands of dollars is given by the function, P(x) = 100vx-5 + 3,000, where x is the number of items sold in thousands, x = 5. Describe the meaning of the number 5 in the formula.
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