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Convert the following SAT scores into new distributions with a mean of 50 and a standard deviation of 2.
You are an engineer in charge of aircraft safety. You want to ensure that the probability of failure between inspections is no more than 1% for each aircraft. How would you revise the inspection You
What is the central limit theorem? According to the central limit theorem the expected value for a sample mean is ________ as the sample size approaches infinity? WHY?
A random sample of n = 16 scores is obtained from a population with a mean of µ = 80 (assume ? is unknown) and a treatment is administered to the sample. After treatment, the sample mean is fo
How does variablity in a population influence standard error of the mean? if you were studying the effect of puppies on happiness, a variable with a large standard deviation, how would you adjust yo
The mean amount consumed was 46.2 oz. Assuming the amount of water consumed daily by adults is normally distributed and the standard deviation is 11.5 oz, is there sufficient evidence to show that
The image of the public library is constantly changing, and their online services continue to grow. Usage of the library's home page grew by 17% during the past 12 months. It has been estimated that
Create a game of chance using a coin, dice, or a standard deck of cards. Choose how to play the game and determine at least two ways to win. Then determine the probability of winning the game. Then
A standardized achievement test provides a distribution of scores with a mean of 200 and a standard deviation of 25. A researcher has taken two independent samples of scores.
In a test of the hypothesis that alcohol consumotion affects reaction time, a reasearcher reports that an alpha lever of .05 the null hypothesis was rejected.
An engineer commutes daily from his suburban home to his midtown office. The average time for a one way trip is 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trip
A distribution is composed of the short-term memory scores of 79 people. The distribution has a mean of 56 and a standard deviation of 4. If all the scores are converted to z-scores and these z-sco
A radio transmission tower is designed for a "50 year wind." This means that is there is a certain high wind velocity with a return period of 50 years.
(a) Use the data to find a point estimate for the mean. $ (b) Use the data to find a point estimate for the variance. $ (c) Use the data to find a point estimate for the standard deviation. $
A and B flip coins. A starts and continues flipping until a tail occurs at which point B starts flipping and continues until there is a tail. then A takes over and so on. Let P1 be the probability o
A sample of 55 night-school students' ages is obtained in order to estimate the mean age of night-school students. x = 25 years. The population variance is 22.
In a test of a gender-selection technique, results consisted of 276 baby girls and 252 baby boys. Based on this result,what is the probabilty of girl born to a couple using this technique?
Two population t-test. Are the two methods yield different conclusion? Why or Why not?
Calculate the ANOVA table. Test if the three fertilizer equivalent using the following methods: Assume 5% level of significance.
Suppose that college faculty with the rank of professor at tow-year institutions earn an average of $64,571 per year with a standard deviation of $4,000. In an attempt to verify this salary level, a
According to the Sleep Foundation, the average night's sleep is 6.8 hours (Fortune, March 20, 2006). Assume the standard deviation is .4 hours and that the probability distribution is normal.
Is there a linear correlation between the age of the student and the stress level?
The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution:
Use a .05 level of significance and the sample data to test the hypothesis that the overall proportions for the colors are as stated above. What is your conclusion?
Suppose we select an SRS of size n = 100 from a large population having proportion p of successes. Let p be the proportion of successes in the sample. For which value of p would it be safe to use th