A Gallop poll is conducted to estimate the proportion of voters who plan to vote in favor of a certain issue on the ballot. A random sample of 500 people of voting age is selected. Results of the poll show that 300 of the 500 people polled plan to vote in favor of the issue. What is the point estimate of the true population proportion of people who plan to vote in favor of the issue?
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The owner of a herd of cows wants to determine the influence…
The owner of a herd of cows wants to determine the influence of the ages of his cows on the amount of calving difficulty that occurs in his herd. He constructs the following table: Age of Cow (in years) 0-2 3-5 6-10 over 10 Total No difficulty 40 35 20 5 100 Difficult birth 35 45 15 5 100 Total 75 80 35 10 200 What is the probability that a randomly selected cow either has calving difficulty or is less than 3-years-old?
The average height of a certain ornamental plant is 15 inche…
The average height of a certain ornamental plant is 15 inches and the standard deviation of the heights is 3 inches. Find the probability that a randomly selected plant will have a height between 9 and 18 inches.
If the variation within sample means is large relative to th…
If the variation within sample means is large relative to the variation between the samples, it indicates that there is a real difference between the population means.
Suppose x has a binomial probability distribution with n = 2…
Suppose x has a binomial probability distribution with n = 200 and p = 0.70. Use the normal approximation to the binomial to find P (X > 150).
Owners of a breed of beef cattle noted for heavy birth weigh…
Owners of a breed of beef cattle noted for heavy birth weights and calving difficulty would like to prove that the mean birth weight of their breed is less than 85 lb. In other words, they want to test: Ho: µ = 85 lb Ha: µ < 85 lb They obtain a random sample of 169 birth weights of calves from this breed and find a sample mean of 83 lb and a sample standard deviation of 10 lb. Using a significance level of 0.05, which one of the following statements is the correct conclusion?
A plant scientist wants to determine the average yield (in b…
A plant scientist wants to determine the average yield (in bushels per acre) of brand X corn in Ohio. Five thousand Ohio corn fields are planted using brand X. The plant scientist is able to obtain data for the yields of 500 of these 5,000 fields. The average yield of these 500 fields planted to brand X is 175 bushels per acre. What is the population of interest to the plant scientist?
The Kimberly Clark Corporation wants to determine how many t…
The Kimberly Clark Corporation wants to determine how many tissues a box of Kleenex should contain. Researchers determine that 60 is the average number of tissues used by a typical person during a cold. Suppose a random sample of 100 Kleenex users yielded a sample mean of 56 tissues and a sample standard deviation of 10 tissues used during a typical cold. Kimberly Clark wants to test: Ho: μ = 60 tissues Ha: μ < 60 tissues using a significance level (α) = 0.05. Should Kimberly Clark reject or not reject the null hypothesis? Why?
We want to test the hypothesis that the mean number of credi…
We want to test the hypothesis that the mean number of credit hours taken per semester by OSU undergraduates is less than 16 hours. Therefore, we obtain a random sample of credit hours for 49 students. The sample mean is 15 hours and the sample standard deviation is 4 hours. We want to test: Ho: μ = 16 hours Ha: μ < 16 hours using a significance level (α) = 0.01. What is the critical value needed to test the null hypothesis in this problem?
Parking at a large university has become a big problem. Uni…
Parking at a large university has become a big problem. University administrators are interested in determining the average parking time (i.e., the average length of time it takes students to find a place to park on campus) of the students. An administrator inconspicuously follows 250 students and carefully records their parking times. Identify the experimental units in this study of parking times.