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A binary experiment is repeated 900 times. What is the probability that there will be at least 495 successes if the success probability is 0.5?
Assume that there are 30 faulty products in a lot of 300 on average. If a shipment of 100 is going to be made, what is the probability that there will be exactly 3 of these products in this shipment?
Professor Albert Francis had students in his Psychology 201 class rate his performance. The ratings are kept from the professor till release of the course marks. The course marks are shown in the table below, under the respective rating given by the students.
Performance Rating
Excellent Good Fair Poor
94 75 70 68
90 68 73 70
85 77 76 72
80 83 78 65
88 80 74
68 65
65
Table Q5
Apply and perform an appropriate test to check if there is a difference in the mean marks received by students in each of the rating categories. Show all relevant workings and steps in the test, and test at 1% level of significance.
An insurance company rounds 50000 insurance premiums to the nearest dollar. Assuming that the fractional parts of the premiums are continuous and uniformly distributed between 0 and 1, compute the probability that the total amount owing will be altered by more than $60.
You may use R to assist you in answering this question, but you would need to list out all working details.
A new drug cures 9 of 200 patients suffering from a type of cancer, for which the historical cure rate is 2%. Perform a test to check on the significance of this result, at both 5% and 1% levels of significance. Based on your conclusion, comments on the efficacy of the treatment using this new drug.
In section A the marks of quiz 1 of 6 students are randomly picked as 12,8,17,9,11,1 what is left limit of mean at 95% confidence level
If X1,X2,........,Xn is a random sample taken from a population having at(0,theta) distribution, then unbiased estimator of theta
ANOVA table
Source sum of squares. Df. Mean square. F. Sig
Car. 2,036. 3. 679. 28.77 0.001
Position. 359. 3. 120. 5.07. 0.044
Tyre. Types. 381. 3. 127. 5.38 0.039
Error. 142. 6. 24
Total. 47,016. 16
1. Identify the type of design
2. Identify the extraneous variables
3. Find out the number of observation
4. Formulate the hypothesis.
5. Interpret the result at 5% level of significance
To examine the effectiveness of a print advertising in a local newspaper for a department store a sample of respondents was selected at random. The sample was randomly split into two groups each having Same number of respondents. They were first interviewed regarding their attitude towards the store. Members of only one group were then exposed to the print ad in the newspaper the two groups were again interviewed to obtain their attitude towards the departmental store.
Identify the design used. Show diagram of experiment. State the dependent variable, treatment variable and extraneous variables that would affect internal validity of the above experiment.
Professor Albert Francis had students in his Psychology 201 class rate his performance. The ratings are kept from the professor till release of the course marks. The course marks are shown in the table below, under the respective rating given by the students. Performance Rating Excellent Good I Fair I Poor 94 75 I 70 I 68 90 68 I 73 I 70 85 77 I 76 I 72 80 Apply and perform an appropriate test to check if there is a difference in the mean marks received by students in each of the rating categories. Show all relevant workings and steps in the test and test at 1% level of significance.
Please do not use excel.
