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Smiling and Gender
In a 1997 study, people were observed for about 10 seconds in public places, such as malls and restaurants, to determine whether they smiled during the randomly chosen 10-second interval.
The table shows the results for comparing males and females. (Source: M. S. Chappell, Frequency of public smiling over the life span, Perceptual and Motor Skills, vol. 45: 474, 1997)
a. Find and compare the sample percentages of women who were smiling and men who were smiling.
b. Treat this as though it were a random sample, and test whether there are differences in the proportion of men and the proportion of women who smile. Use a significance level of 0.05.
c. Explain why there is such a small p-value even though there is such a small difference in sample percentages.
If the spring is unstretched when θ = 0° and the bracket achieves its equilibrium position when θ= 32°, determine the stiffness k of the spring and the horizontal and vertical components of reaction at pin A.
Find the probability of accepting the entire shipment if the true proportion of defective floor tiles is 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09.
A shipment of pins contains 25 good ones and 2 defective ones. At the receiving department, an inspector picks three pins at random and tests them.
The average highway travel time from Waterloo to Toronto on accident free days (i.e., only regular volume of traffic) is around 90 minutes with a standard deviation of 10 minutes. The occurrence of an accident, however, results in an average delay..
The data given in the table below are the midterm scores in a course for a sample of 10 students and the scores of student evaluations of the instructor.
shares of company a cost 10 per share and give a profit of x. independently of a shares of company b cost 50 per share
Suppose that 20% of all Internet users have posted photos online. A sample survey interviews 1555 users. What is the probability that 300 or fewer people in the sample have posted photos online?
cereal is sold by weight not volume. this introduces variability in the volume due to settling. as such the height to
Do you think this sample would be representative for the question of interest? Explain.- Is the sampling plan that was used a probability sampling plan? Explain.
A set of n random variables X1, X2, X3,....,Xn, are independent and each uniformly distributed- Find the probability density function. - find the conditional PDF.-
The probabilities of low, medium and high compliance are 0.3, 0.4, and 0.3, respectively
a. State the null and alternative hypothesis b. Compute the test statistic c. Compute the p-value and interpret it relative to the acceptance or rejection of the null hypothesis.
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