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For each of the following tobs values, determine the highest level of significance associated with the decision taken. tobs df Decision
(i) t=4.000 df=17 Reject Ha for a two-tailed test
(ii) t=1.200 df=120 Reject Ha for a one-tailed test
(iii) t=-2.660 df=16 Reject Ha for both one tailed and two-tailed test
(iv) t=-1.586 df=60 Reject Ha for a one-tailed test
A company produces light bulbs whose life follows a normal distribution with a mean of 1,200
hours and standard deviation 200 hours. If we choose a light bulb at random, what is the
probability that its lifetime will be between 1100 and 1,600 hours?
find the point estimate of the population parameter μ, and the standard deviation of the given set of data below.
Percentage of children who watch TV before bedtime.
70 67 58 60 69 62 70 62
69 59 77 59 52 79 59 59
80 42 60 59 68 40 68 68
56 66 60 40 57 57 70 71
72 54 52 67 62 59 71 72
81 49 45 78 78 69 68 69
In a small town, two lawn companies fertilize lawns during the summer. Tri-State Lawn Service has 72% of the market. Thirty percent of the lawns fertilized by Tri-State could be rated as very healthy one month after service. Greenchem has the other 28% of the market. Twenty percent of the lawns fertilized by Greenchem could be rated as very healthy one month after service. A lawn that has been treated with fertilizer by one of these companies within the last month is selected randomly. If the lawn is rated as very healthy, what are the revised probabilities that Tri-State or Greenchem treated the lawn?
Suppose 70% of all companies are classified as small companies and the rest as large companies. Suppose further, 82% of large companies provide training to employees, but only 18% of small companies provide training. A company is randomly selected without knowing if it is a large or small company; however, it is determined that the company provides training to employees. What are the prior probabilities that the company is a large company or a small company? What are the revised probabilities that the company is large or small? Based on your analysis, what is the overall percentage of companies that offer training?
b. What is the probability that the senior executive does not agree or strongly agree that gender-based stereotypes were barriers to her career development given that she does agree or strongly agree that the lack of role models was a barrier to her career development?
c. If it is known that the senior executive does not agree or strongly agree that gender-based stereotypes were barriers to her career development, what is the probability that she does not agree or strongly agree that the lack of role models was a barrier to her career development?
what is the y-coordinate of the center of mass of a plane of the same shape as the histogram of the distribution ?
In a study undertaken by Catalyst, 43% of women senior executives agreed or strongly agreed that a lack of role models was a barrier to their career development. In addition, 46% agreed or strongly agreed that gender-based stereotypes were barriers to their career advancement. Suppose 77% of those who agreed or strongly agreed that gender-based stereotypes were barriers to their career advancement agreed or strongly agreed that the lack of role models was a barrier to their career development. If one of these female senior executives is randomly selected, determine the following probabilities:
a. What is the probability that the senior executive does not agree or strongly agree that a lack of role models was a barrier to her career development given that she does agree or strongly agree that gender-based stereotypes were barriers to her career development?
The U.S. Energy Department states that 60% of all U.S. households have ceiling fans. In addition, 29% of all U.S. households have an outdoor grill. Suppose 13% of all U.S. households have both a ceiling fan and an outdoor grill. A U.S. household is randomly selected.
a. What is the probability that the household has a ceiling fan or an outdoor grill?
b. What is the probability that the household has neither a ceiling fan nor an outdoor grill?
c. What is the probability that the household does not have a ceiling fan and does have an outdoor grill?
d. What is the probability that the household does have a ceiling fan and does not have an outdoor grill?
a. A batch of50 parts contains six defects. If two parts are drawn randomly one at a time without replacement, what is the probability that both parts are defective?
b. If this experiment is repeated, with replacement, what is the probability that both parts are defective?
