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Q1) Coin was flipped 60 times and came up heads 38 times.
a) At.01 level of significance, is coin biased towards heads? Illustrate your decision rule and computations.
b) Compute a p-value and interpret it?
Q2) What does confidence interval tell you? What does it mean? What 2 things can a researcher do to decrease width of a confidence interval? What are the effects?
Q3) Calculate the 95% confidence interval on population mean if sample of 1000 is taken and sample mean is found to be 15.95 and standard deviation is 4.2. Interpret interval. What does it mean?
Q4) Test to see if population mean is greater than assumed (or historical) value of 16. When a sample of 1000 was taken sample mean was calculated to be 15.95 and sample standard deviation was 4.2.
Construct a grouped frequency distribution using six classes.
An experiment was performed to investigate lifetime of a component exposed to high heat. Three different oven types were used at either 550°F or 600°F.
A local group claims that the police issue more than 60 speeding tickets a day in their area.
If the computed value for this problem is +2.33, and the level of significance is 0.05, can we conclude that the recall proportions for the two commercials are same?
Solution utilizing graphical method. Compute the following linear programming problem. Among which of the following points (X, Y) is not a feasible corner point.
The probability of the patient being chosen at random as having meningitis as only site of infection is?
Calculate the value of Pearson correlation. Illustrate what information is provided by the numerical value of the Pearson correlation.
The distribution of lifetimes for a certain type of light bulb is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. Find the 33rd percentile of the distribution of lifetimes.
Find the probability of winning jackpot?
What is the probability that a cereal would either high calorie or high fiber? In other words, what is P(high calorie or high fiber)?
Determine the probability that at most 4 fish will be killed?
Name three elements of the inferential statistical analysis.
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