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1. The US Mint selects ten pennies from the production line to test the hypothesis that the mean weight of each penny is 5 grams. The normally-distributed weights (in grams) of these pennies are as follows: 1, 5, 8, 4, 8, 4, 9, 2, 6, 8. Assume = 0.05.
· State the null and alternate hypotheses
· Calculate the sample mean and standard deviation
· Determine which test statistic is appropriate (z or t), and calculate its value.
· Determine the critical value(s).
· State your decision: Should the null hypothesis be rejected
A building contractor pays $500 to bid on a contract. If he gets the contract, the probability of which he estimates to be 0.70, he will make a profit of $50,000.
CPI and Subway Fare Find the best predicted cost of subway fare when the consumer Price Index (CPI) is 182.5 (in the year 2000).
A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the sample mean will be larger than 82 is?
Test at 5% and 1% whether the molder is operating satisfactorily.
The p-value of the test is closest to:
You are a research analyst with a large research and development firm, Akron Research. Your firm performs studies and analysis for companies that need product, process improvement, manufacturing, and consulting research services.
Extrapolating this data by using the sum of squares method would further reveal any discretionary variances in relationship to the mean?
Find a 95% confidence interval for the population mean selling price of all homes in this neighborhood.
Use the normal distribution to approximate the desired probability. Find the probability that in 200 tosses of a fair die, we will obtain at exactly 30 faces.
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots
Compose a 350 to 700-word summary report of your findings to the researcher and owner of the restaurant in which you Identify evidence, if any, of the researcher's claim. Perform a one- or two-tail test on the data provided,
How many students should be surveyed to estimate the mean score within 25 points with 90% confidence?
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