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Ten cans of stewed tomatoes were removed at random from a population of 1,000 cans. The drained weight of the contents were shown in the table left. It is known that the population of drained weights is normally distributed with a standard deviation of 0.82.
a) These cans are supposed to contain 410 g of drained tomatoes. Suppose the operator of the machine that fills the tins has reason to believe that the average weight of the tins is under this stated amount. This is bad for business because they may get complaints from consumers. Conduct an appropriate test of hypothesis to prove whether this is the case. Use α= 0.01.
- state appropriate hypothesis- calculate the test statistic by hand- find corresponding p-value from z-table to your test statistic value- confirm your results by running the appropriate test in MiniTab- write clear conclusions.
b) Calculate by hand the 99% confidence interval for the mean weight of the entire population of canned tomatoes filled by this machine. Does the confidence interval constructed support your conclusions from part 'a'? Explain.
Mark LSL and USL on a sketch of the density curve. What is Cpk? What percent of the output meets the specifications?- What general fact do your calculations illustrate?
Based on the 2x2 contingency table posted below calculate the chi square test to see if the result rejects the null hypothesis. You can calculate this long hand or use a standard calculator such as found at this site
200 people were surveyed and asked to rate mayor Michael Bloombergs effectiveness towards education. The rate scale is 1 (lowest) to 10 (highest). Mayor Bloomberg's average rating was 7.50, with a standard deviation of 2
A TV system is expected to last for 50,000 hours before failure. Assume an exponential distribution for the time until failure.
suppose a point xy is chosen at random from the disk x2 y2 is less than and equal to 1. find the a marginal density of
Explain the general process of hypothesis testing Review the basic steps included in conducting a hypothesis test
Sunspots have fascinated people for hundreds of years. - Make a time plot of the sunspot data.- With the help of a smoother, discuss the cycle that astronomers see.
Compute a 99% confidence interval for the true average number of months taken by bankruptcy petitioners to acquire debts listed on their petitions.
Give your answer to the nearest integer.
The table shows the average annual cost of high speed internet access in dollars for a random sample of individuals in four different regions of a state. Northern Southern Eastern Western 125 145 162 171 130 120 158 168 115 140 145 187 124 138 143..
Find the probability that the number is more than 8 (second answer listed below).
What do confidence intervals represent? What is the most controllable method of increasing the precision of or narrowing the confidence interval? What percentage of times will the mean, or population proportion, not be found within the confidence ..
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