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QUESTION: A company sells packets of biscuits that they claim, on average, contains at least 20 g biscuits in each packet. They admit that their claim is wrong (and will refund any money) if a sample of 40 has a mean less than 19.8 g. If the standard deviation is 0.5 g,
a) Formulate the appropriate null and alternative hypotheses, and determine the type of test.
b) If the test is conducted at α = 0.05, determine the critical value that specify the rejection region, then complete this sentence: Reject H¬0 if test statistic is ___________________
c) Find the probability of a Type I error.
d) Find the probability of a Type II error and determine the power of test if the true mean is 19.5 g.
Find the standardized test statistic to test the claim that mean1 = mean 2. Two samples are randomlu selected from each population. The sample statistics are given below.
Description of the graph:A given histogram: normal distribution bell curve that is skewed to the left. On the x-axis of the graph, from left to right have the following numbers 0 , 50, 100.
A recent article in the Denver Post indicated that the mean selling price of the homes in the area is more than $220,000. Can we conclude that the mean selling price in the Denver area is more than $220,000? Use the .01 significance level. What is..
Use suitable one or two sided test for null hypothesis of no difference in them then changes rating between groups at 0.10 significance level.
In a national wide survey a researcher expects 30 percent of the population will agree with an value statement. He wishes to have less than 2% error and 95% confident. What sample size is needed?
q1. the grades of 20 students are listed below. use the stem amp leaf to determine the shape of the distribution.
What is the treatment mean square? What is the mean square error? How many groups are included in the study?
P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannualy, then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year.
Income level of the industrial salespeople and their employment status. Be sure to state the critical value, the value of the Chi-square test statistic, and your decision (accept/reject).
Should the engineering firm be concerned? Perform an appropriate hypothesis test, showing the necessary calculations and or explaining the process used to obtain the results.
The number of viewers of American Idol has a mean of 33 million with a standard deviation of 10 million. What is the probability that next week's show will: Have between 37 and 44 million viewers?
A very bright student is described as having an IQ that is three standard deviations above the mean. If this student's IQ is reported as a z-score, the z-score would be the following.
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