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The frequency distribution below shows the distribution for suspended solid concentration (in PPM) in river water of 50 different waters collected in September 2011.
Concentration (PPM) Frequency
20-29 1
30-39 8
40-49 8
50-59 6
60-69 16
70-79 7
80-89 2
90-99 2
1. What percentage of the rivers had suspended solid concentrations less than 50?
2. Calculate the mean of this frequency distribution.
3. In what class interval must the median lie? Explain your answer (you don't have to find the median).
4. Assume that the largest observation in this data set is 98. Suppose this observation were incorrectly recorded as 988 instead of 98. Will the mean increase, decrease, or remain the same? Will the median increase, decrease or remain the same? Explain your answers.
Examine the residual files and produce appropriate residual plots to examine the assumptions. Are the Level-1 residuals normally distributed? Are the level-2 residuals multivariate normal? How do you know?
Assuming that the variability is unchanged (i.e., σ = 6), is there sufficient evidence to suggest that the strength of the product has increased at the 1% level of significance?
One use of the Chi-square goodness of fit test is to determine if specified multinominal probabilities in the null hypothesis is correct.
According to the survey, 37% of the adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability that:
the null hypothesis is to be tested at 95% confidence. Determine the critical value(s) for this test.
Survey on What do you think is the biggest problem facing education today. One problem with exit polls may be that the wrong "key precincts" were chosen.
The study compared the number of Hm-2 gene mutations in each group. The data table is below.
A Cornell university study of wage differentials between men and women reported that one of the reasons wages for men are higher than wages for women is that men tend to more years of work experience than women. Suppose the following results were ..
The quality control department of Widgets Manufacturing needs your help. They can't decide which significance level is appropriate for testing the claim that fewer than 50% of widgets from a production run are defective.
Given this, compute the following probabilities for demand during lead time(DDLT).
In order not to violate the requirements necessary to use the chi-square distribution, each expected frequency in a goodness of fit test must be:
Find out best decision, by using following decision criteria.
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