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Question: A psychologist is investigating the hypothesis that children who grow up as the only child in the household develop different personality characteristics than those who grow up in larger families. a sample of n=30 only children is obtained and each child is given a standardized personality test. for the general population, scores on the test from a normal distribution with a mean of 50 and a standard deviation of 15. if the mean for the sample is m=58, can the researcher concluded that there is a significant difference in personality between only children and the rest of the population? use a two tailed text with x=.05.
Conduct the hypothesis test and compute the p-value. At a 0.05 level of significance, what is your conclusion?
Political polls typically sample randomly from the U.S population to investigate the percentage of voters who favor some candidate or issue. The number of people polled is usually on the order of 1000.
The following table shows the number of miles driven in each trial.
Each home was 24 and the standard deviation of the sample was 5 people. Develop a 98 percent confidence interval for the population mean.
You have $380,000 in your bank account. The interest rate in your account is 5%. Solve for the following showing your work: How much interest will you accumulate if interest is compounded annually over the next five years?
Compute a 5-month moving average forecast for June through January.
An olympic archer is able to hit bull's-eye 80% of the time. assume each shot is independent of the others. if she shoots 6 arrows, what's the probability of each of these results? She gets at least 4 bull's-eyes?
If in a random poll of 250 residents, 150 residents were in favor, how accurate is this result as an estimate of the proportion?
As part of a safety check, the Keystone Cops randomly stopped 65 ambulances and checked their tire pressure. The sample mean was 32 lbs/sq. in. with a sample standard deviation of 2 lbs/sq. in. Find the 98% confidence interval for the population m..
Sugar packaged by a certain machine has a mean weight of 5lb and a standard deviation of 0.02 lb. For what values of c can the manufacturer of the machinery claim that the sugar packaged by this machine has a weight between 5 - c and 5 + c lb with..
A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it.
At.05 level of significance, is there evidence to propose that mean life length of batteries produced by this manufacturer is more than 400 hours?
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