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The composite ACT scores of entering freshmen at an area University have a N(24,4) distribution. Use this information to complete the following.
a) For one randomly selected entering freshman, what is the probability that their composite ACT score was greater than 30?
b) A random sample of 100 entering freshmen is selected. What is the distribution of the mean composite ACT score, for the University?
c. What is the probability that the mean composite ACT score for the 100 randomly chosen freshmen is less than 23?
A local bank wants to install motion detector burglar alarms. Each has a 70% chance of detecting a burglar. If the bank wants to be 99% certain of detecting a burglar how many need to be installed?
Out of a random sample of 500 individuals who are planning to vote in a student council election, 260 plan on voting for Jefferson and 240 plan on voting for Smith.
What is the population? What values does the population distribution describe? What is this distribution? What values does the sampling distribution of x describe? What is the sampling distribution?
A researcher measures a response variable Y and explanatory variable X on each of several objects. A scatterplot of the measurements is as follows.
The average monthly gasoline purchase for a family with 2 cars is 90 gallons. This statistic has a normal distribution with a standard deviation of 10 gallons. A family is chosen at random.
Solve the following problems in essay form (1 to 2 paragraphs for each problem is fine). Please show all work and show how you came up with the answer.
The average price of a personal computer is 949 assuming that the prices are normally distributed with a standard deviation of 100 what is the price that corresponds to the least expensive 10%.
Using the finite population correction factor, compute the standard error for each of the three firms given a sample of size 50.
Test whether the average cycle of sleeping and waking differs significantly from 24 hours.
Find a 95% confidence interval for the difference in the proportion of deaths between the streptokinase and the control group.
Tests it and then puts it to one side. this is repeated 5 times. What is the probabilty that none of the five tested were faulty?
Interpret coefficient on log (salesm). If salesm were to be increased by 20%, what would be estimated change in mktgp? Would this effect be substantive?
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