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Does speed in completing a test correlate with one's grade? Here are test scores for eight students in one of our statistics classes. They are arranged in order from the student who turned in the test first to the student who turned in the test last.98 74 87 92 88 93 62 67
a. What are the two variables of interest? For each variable, state whether it's scale or ordinal.
b. Calculate the Spearman correlation coefficient for these two variables. Remember to convert any scale variables to ranks.
c. What does the coefficient tell us about the relation between these two variables?
d. Why couldn't we calculate a Pearson correlation coefficient for these data?
records show that the probability that it rains in our town on a single day is 0.35. if rain on different days
a government testing agency studies aspirin capsules to see if customers are getting cheated with capsules that contain
Student record revealed that 16 out of a random sample of 64 of student with loans. It supposed that current rate is persisting across all students. Compute probability that number of students with loans will be less than 375.
Prove that any sequence that converges in the mean square sense must also converge in probability. Hint: Use Markov's inequality.
Translate the following arguments into symbolic notation.- If life is always better than death, then people do not commit suicide.
Imagine a study where the correlation between some amount of an experimental drug and liver damage yields a value for r close to zero and the hypothesis H0: ρ = 0 is not rejected. Why might it be unreasonable to conclude that the two variables und..
a new design for the braking system on a certain type of car has been proposed. for the current system the true average
1. Here are several situations in which there is an incorrect application of the ideas in statistical inference. Write a sentence or two in each case explaining what is wrong and why it is wrong. (a) A significance test rejected the null hypothesi..
The distribution of meansdistribution and the distribution of means, showing the t score and cutoff points for significance. (c) Explain your answer to someone who has never taken a course in statistics.
Compute the Mann-Whitney U statistic for the following data. The numbers under the Group 1 and Group 2 columns are participant numbers.
you want to compare the reliability of two machines that insert chips onto electronic cards. the main problem is the
"A major retail chain uses survey data to estimate the mean age of customers. A 95% confidence interval for the mean age of all its customers is found to be (21.7, 46.5) using a sample size of 135"
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