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Toss a fair coin till you get HHH or TTT, but not more than eight tosses. Let X be the number of tosses and Y be the difference of heads and tails. Determine the joint distribution of X and Y. Also
A quality engineer wanted to be 98% confident that maximum error of the estimated of the mean strength of the hinge is 0.25. Assume the strength of hinge is normally distributed with s.d. = 1.723.
In doing market research for the candy company, John find that 1054 of 1220 randomly chose person like dark chocolate. Based this result, determine a 90% lower bound estimate of the percentage of al
Assume the wieght of mints are normally distributed. Throughout the Friday night shift, 28 mints were selected at the random from a production line. They had average weight of 21.45 grams and the s
Take a random sample of 106 healthy adults and find the average body temperature of 106 healthy adults is 98.2F. Suppose the population s.d. of body temperature is 0.62. Find 95% Confidence Interval
Commodity Futures Index are 7.35, 7.40, 7.55, 7.56, 7.60, 7.52, 7.52, 7.70, 7.62, and 7.55. Compute the exponential smoothing forecasts for a = .2. Compute the exponential smoothing forecasts for a =
The melting points of two alloys used in formulating solder were investigated through melting 21 samples of each material. The sample mean and standard deviation for alloy 1 was X1= 420.48 and S1= 2
The 95% confidence interval for the mean weight of female wolves was found to be (67.13, 80.62) pounds.
A current study of 460 drivers age 70 and over by National Highway Traffic Safety Administration reported that 75% of those drivers had uncorrected vision problems.
Two models of the product - Regular (X) and Deluxe (Y) - are produced by the company. A linear programming model is employed to find out the production schedule. The formulation is as follows: &nbs
If the null hypothesis is accepted if and only if observed value of the random variable is less than 3, find out the probabilities of type I and type II errors.
If 130 of 200 male voters and 88 of 150 female voters favor the certain candidate running for president, determine a 99% confidence interval for the difference between actual proportions of male and
Determine a 90% confidence interval for the average weight of all packages of ground beef in the meat case of Best Market.
Sales for the boxes of Girl Scout cookies over a 4-month period were forecasted as follows: 100, 120, 115, and 123. The actual results over the 4-month period were as follows: 110, 114, 119, 115. Wh
To assess the accuracy of laboratory scale, we weigh standard weight (known to weigh 10 grams) repeatedly and calculate the mean. The scale readings are normally distributed with the unknown mean (w
Provide a 90% confidence interval for the mean number of months students at this university date before becoming engaged.
Daily demand for newspapers for the last 10 days has been as follows: 12, 13, 16, 15, 12, 18, 14, 12, 13, 15 (listed from oldest to most recent). Forecast sales for the next day using a two-day weig
Demand for soccer balls at a new sporting goods store is forecasted using the following regression equation: Y = 98 + 2.2X where X is the number of months that the store has been in existence. Let A
The sales record of a real estate agency show the following sales over the pat 200 days:
In the following condition determine the kind of statistical study which was conducted. A Gallop poll surveyed 1,018 adults by telephone, and 22% of them reported that they smoked cigarettes in the
In the following situation identify the implied population.
Among companies doing highway or bridge construction, 80% test employees for substance abuse (based on data from the Construction Financial Management Association) A study involves the random select
Determine the hypothesis sor situation stated above. Compute the test statistic. Determine P- Value
Rolling a fair die ten times and keeping track of the numbers that are rolled. Rolling 10 fair dice and looking at the number of dice that have 4 dots facing up.
A consumer products company is formulating new shampoo and is interested in foam height (in mm). Foam height is approximately normally distributed as well as has a standard deviation of 20 mm. The c