A city planner wants to estimate the average monthly residential water usage in the city. He selected a random sample of 42 households from the city, which gave the mean water usage to be 3408.10 gallons over a one-month period. Based on earlier data, the population standard deviation of the monthly residential water usage in this city is 387.90 gallons. Make a 97% confidence interval for the average monthly residential water usage for all households in this city. Round your answers to two decimal places. to i gallons i

A city planner wants to estimate the average monthly residential water usage in the city. He selected a random sample of 42 households from the city, which gave the mean water usage to be 3408.10 gallons over a one-month period. Based on earlier data, the population standard deviation of the monthly residential water usage in this city is 387.90 gallons. Make a 97% confidence interval for the average monthly residential water usage for all households in this city. Round your answers to two decimal places. to i gallons i

Name: Find the value of t for the t distribution for the following.Area in
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Find the value of t for the t distribution for the following.Area in the right tail = 0.05 and df = 13.Round your answer to 3 decimal places.i A city planner wants to estimate the average monthly residential water usage in the city. He selected a ra

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A psychologist wants to estimate the amount of math anxiety that the population of high school students experience prior to taking their first algebra course. On the first day of class he asks a sample of 36 students to answer the question, “How anxious do you feel when you know you have to do math problems?” They each responded using a 100-point scale with 1 = not at all anxious and 100 = extremely anxious. The mean reported anxiety score for this sample was 58 with a standard deviation of 30 What is your point estimate in this scenario? 100 58 30 36
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 2.7 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use ? = 0.05. a. What is the value of the sample test statistic? (Round your answer to three decimal places.)
A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what percentage of students spend less than 12 hours in class?
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s= 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than = 19 inches? Use α = 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: μ = 19 in; H₁: μ 19 in; H₁: μ = 19 in O Ho: μ 19 in (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and o is known. O The Student's t, since the sample size is large and o is known. O The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and is…
The heights of all women in the United States are known to be normally distributed with a mean of 63 inches and standard deviation of 3 inches. The U.S. Navy requires that fighter pilots have heights between 58 inches and 72 inches. Find the percentage of women in the United States that meet this height requirement. Round the solution to two decimal places, if necessary.
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s = 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: 19 in Ho: M = 19 in; H₁: μ # 19 in 1 Ho: M = 19 in; H₁: μ 19 in; H₁: μ = 19 in (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and o is unknown. The Student's t, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is known. The standard normal, since the sample size is…
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.4 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use α = 0.05. What is the value of the sample test statistic? (Round your answer to three decimal places.)Estimate the P-value. a) P-value > 0.250 b) 0.100 < P-value < 0.250 c) 0.050 < P-value < 0.100 d)0.010 < P-value < 0.050 e) P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value. Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α? a) At the α = 0.05…
If the range of a data set is 64, find the approximate value of the standard deviation, using the range rule of thumb.
A psychologist wants to estimate the amount of math anxiety that the population of high school students experience prior to taking their first algebra course. On the first day of class he asks a sample of 36 students to answer the question, “How anxious do you feel when you know you have to do math problems?” They each responded using a 100-point scale with 1 = not at all anxious and 100 = extremely anxious. The mean reported anxiety score for this sample was 58 with a standard deviation of 30 Compute the upper and lower boundaries for this 95% confidence interval. LB = 66.45, UB - 49.55 LB = 28, UB = 88 LB = -5.00, UB = 5.00 LB = 47.86, UB = 68.15 LB = -10.15, UB = 10.15
A study compared the weight loss of people on a low-fat diet versus people on a low-carb diet. In a sample of 100 obese people on a low-fat diet the sample mean weight loss as 7.6 pounds with a standard deviation of 3.2 pounds. In another sample of 120 obese people on a low-carb diet the sample mean weight loss was 6.7 pounds with a standard deviation of 3.9 pounds. Write down all formulas and state the hypothesisa) Test the hypothesis, at the 5% level of significance, that there is a difference in the mean weightloss of using the 2 different diets. b) What is the p-value?
Sara is a big hip-hop music fan. Her friend Matt is a big rap music fan. They each have a huge library of songs in their digital music libraries. They each randomly sample 50 songs from their libraries and record the lengths of the songs selected. The average of the selected hip-hop songs was x1 = 245 seconds with a sample standard deviation of 4 seconds. The average of the selected rap songs was x2 = 275 seconds with a sample standard deviation of 6 seconds. They would like to know if the average length of hip-hop songs is different than the average length of rap songs. (a) What are the appropriate null and alternative hypotheses for this test? H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 < 0 Ha: ?1 − ?2 > 0 H0: ?1 − ?2 = 0 Ha: ?1 − ?2 < 0 H0: ?1 − ?2 = 0 Ha: ?1 − ?2 > 0 (b) Calculate the test statistic. (Round your answer to two decimal places.) (c) Assume for purposes of this study, the degrees of freedom are 80. At a 5% significance level, what is the…
A simple random sample of 36 observations was taken from a large population. The sample mean and the standard deviation was determined to be 80 and 12 respectively. What is the standard error of the mean?