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1. Use the normal distribution of SAT critical reading scores for which the mean is 513 and the standard deviation is 120. Assume the variable x is normally distributed.
a) What percent of the SAT verbal scores are less than 650?
b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 575?
2. Find the z-score that has 7.5% of the distributions area to its right?
3.In a survey of women in a certain country (ages 20-29) the mean height was 66.1 inches with a standard deviation of 2.71 inches. Answer the following questions about the specified normal distribution.
a) What height represents the 90th percentile?
b) What height represents the first quartile?
Compute the mean, median, mode and standard deviation for the following discrete probability distribution.
A concessionaire for the local ballpark has made a table of conditional values for the different alternatives also states of nature
You have been asked to study the effects of an employee-wide training program, in a company of 500 employees, designed to reduce the amount of customer complaints.
Chandra has 5 liters of a 24% solution of sodium hydroxide in a container. What is the amount and concentration of sodium hydroxide solution she must add to this in order to end up with 8 liters of 27% solution?
Is this a statistically significant difference? Write the two statistical hypothesis and conduct the appropriate test with your conclusion justified.
Which trend model is best, and why? If none is satisfactory, explain. (e) Make a forecast for 2004 by using a trend model of your choice or a judgment forecast.
At the 5% level of significance, test whether the proportion of internet users paying bills online is now more than 50%.
The percentage 'y' of impurities per batch in a certain chemical product is a beta random variable with probability density
We can think of this as the value of mew that maximizes f(y), the probability that our observed value of y occurs.
A box of 9 gloves contains two left handed gloves and seven right handed gloves. If two gloves are randomly selected from the box, without replacement, what is the probability that both gloves will be right handed?
Compute the probability of receiving four calls in a five-minute interval of time. Compute the probability of receiving more than 10 calls in a five-minute interval of time.
Tthe true population mean when different samples of the same size are taken. Note that the variability of the sample mean is LESS than that of individual observations Does this makes sense?
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