4. An average of 35 fish per day enter the intake pipe of a water treatment plant. A hydraulic engineer designing the plants intake system model the number of entering fish using a Poisson distribution. A random sample of 30 water treatment plants are taken. Find the probability that the sample mean number of fish per day enter the intake pipe is between 36 and 38. UTM UTM
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- Explain how to find the critical values for a t-distribution. Click the icon to view the t-distribution table. Give the first step. Choose the correct answer below. O A. Identify the level of significance and the degrees of freedom, d.f. =n-1. 2 O B. Identify the level of significance 1- a and the degrees of freedom, d.f. = n. c. Identify the level of significance a and the degrees of freedom, d.f. = n-1. 1-a O D. Identify the level of significance and the degrees of freedom, d.f. = n. 2 Find the critical value(s) using the given t-distribution table in the row with the.correct degrees of freedom. column with a V sign. If the hypothesis test is left-tailed, use the "One tail, a" "Two tails, "Two tails, a" "One tail, 5Please do not give solution in image format thanku A production process manufactures electronic components with timing signals whose duration follows a normal distribution. A random sample of 7 components was taken, and the durations of their timing signals were measured. a. The probability is 0.10 that the sample variance is bigger than what percentage of the population variance? b. The probability is 0.05 that the sample variance is less than what percentage of the population variance?The number of cracks that need repair in a section of interstate highway follows a Poisson distribution with a mean of two cracks per mile. 1. Determine the probability mass function of the number of cracks (X) in 5 miles of highway 2. Find the probability that there are at least five cracks in 5 miles of highway that require repair. 3. Calculate the mean and variance of X
- Do rats take less time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 36, 35, 22, 42, 25, 14, 31, 14 Hamsters: 41, 37, 12, 46, 39, 46, 38, 45, 27, 29 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? ♥ a e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. O The results are statistically insignificant at a = 0.05, so there is statistically…Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.Do rats take the same amount of time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 31, 26, 35, 34, 31, 39, 39, 6 Hamsters: 36, 35, 16, 29, 20, 25, 28, 37 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this studv, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer V (please enter a decimal) H1: Select an answer v Select an answer v v (Please enter a decimal) Select an answer b. The test statistic ?v= (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.05, so there is…
- According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.5, 2, 2.9, 3.8, 4.6, 1.1, 1.8, 2.6, 1.4, 2.8, 4.5, 1.2, 1, 0.7, 3, 1.2 What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer < ≠ = > H1:H1: ? p μ Select an answer < ≠ = > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to…According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 12 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.2, 4.3, 4.5, 1.4, 1.5, 2.7, 1.8, 2.4, 1.3, 2, 2.2, 1.3 What can be concluded at the αα = 0.05 level of significance? A. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is equal to 2. The data suggest that the population mean study time per…Explain how to find the critical values for a t-distribution. Click the icon to view the t-distribution table. Give the first step. Choose the correct answer below. α O A. Identify the level of significance and the degrees of freedom, d.f. = n-1. O B. Identify the level of significance 1-a and the degrees of freedom, d.f. = n. &c. Identify the level of significance a and the degrees of freedom, d.f. n-1. 1-a D. Identify the level of significance and the degrees of fedom, d.f. = n. Find the critical value(s) using the given t-distribution table in the row with the correct degrees of freedom. If the hypothesis test is left-tailed, use the "One tail, a" column with a negative sign. If the hypothesis test is right-tailed, use the V column with a sign.
- The number of goals scored at state college hockey games follows as poisson distribution with a mean of five goals per game. Find the probability that a randomly selected state college hockey game would have more than three goalsCustomers can replace one, two, three, or four tires at a time for the vehicle at a tire nation, a nationwide tire shop chainA tube of listerine tartar control toothpaste 4.2 ounces. As people use the toothpaste the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. What is the likelihood there is less than 3.0 ounces remaining in the tube?
