A magazine collected the ratings for food, decor, service and the cost per person for a sample of 96 restaurants. They combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Y₁ = -25.468+0.9712X₁. where X, is the summated ratings and Ŷ; is meal cost. For these data, Syx=9.372, X=61.78, and h₁ = 0.039170 when X= 50. Complete parts (a) through (c). a. Construct a 95% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 50. Hvixx (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)

A magazine collected the ratings for food, decor, service and the cost per person for a sample of 96 restaurants. They combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Y₁ = -25.468+0.9712X₁. where X, is the summated ratings and Ŷ; is meal cost. For these data, Syx=9.372, X=61.78, and h₁ = 0.039170 when X= 50. Complete parts (a) through (c). a. Construct a 95% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 50. Hvixx (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)

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

Refer to the accompanying data set and construct a 95% confidence interval estimate of the mean pulse rate of adultfemales; then do the same for adult males. Compare the results.Compare the results.A. The confidence intervals do not overlap, so it appears that adult females have a significantlyhigher mean pulse rate than adult males.B. The confidence intervals do not overlap, so it appears that there is no significant difference inmean pulse rates between adult females and adult males.C. The confidence intervals overlap, so it appears that adult males have a significantly highermean pulse rate than adult females.D. The confidence intervals overlap, so it appears that there is no significant difference in meanpulse rates between adult females and adult males.Pulse Rates (beats per minute)Males 82724957536251785360715963768564639445877262757557645480756364965968595867718158 Females 78925763578277888954356583748162637663658480737789888690939368908382755699757376
a. Locate the 95% prediction interval for driving accuracy (y) on the printout, and give a practical interpretation of the result. b. Locate the 95% confidence interval for mean driving accuracy (y) on the printout, and give a practical interpretation of the result. c. If you are interested in knowing the average driving accuracy of all golfers who have a driving distance of 300 yards, determine which of the intervals is relevant. Explain.
2. From a random sample of 64 high school seniors, the sample mean and standarddeviation of the math scores are found to be 96 and 16 respectively. Determine a 95%confidence interval for the mean math score of all seniors in the school.
f. A sample of 60 Grade 10 students' ages was obtained to estimate the mean lof all Grade 9 students. i = 15.2 years and the population variance is 15. a. What is the point estimate for u? b. Find the 95% confidence interval for u. c. Find the 99% confidence interval for u. d. What conclusions can you make based on each estimate?
In a clinical trial of a certain drug 31subjects experience headaches among the 238 subjects treated with the drug. Construct a 95% (Wald) confidence interval estimate for the proportion of treated subjects who experience headaches, completing parts (a) through (d) below a. Find the best point estimate of the population proportion b. Identify the value of the margin of error E. c. Construct the confidence interval
.3 The width of a confidence interval is a measure of its precision. The narrower the confidence interval, the more precise is the interval estimate, and vice versa. Describe any three aspects that influence the precision of the width of a confidence interval of a singlepopulation mean.
An agent for a real estate company wanted to predict the monthly rent for apartments based on the size of the apartment. The data for a sample of 25 apartments is available below. Perform a t test for the slope to determine if a significant linear relationship between the size and the rent exists. a. At the 0.05 level of significance, is there evidence of a linear relationship between the size of the apartment and the monthly rent? b. Construct a 95% confidence interval estimate of the population slope, B,- E Click the icon to view the data. a. Determine the hypotheses for the test. Choose the correct answer below. O A. Ho: B1 = 0 H;: B, #0 О В. Н: В, 20 H;: B, 0 Find the test statistic. TSTAT = (Round to two decimal places as needed.) What is the p-value? p-value = (Round to three decimal places as needed.) Reach a decision. Ho. There is evidence to conclude that there is a linear relationship between the size of the apartment and the monthly rent. b. The 95% confidence interval is…
Exercise 1.4 (5pts). A farmer recorded the weights of 25 randomly selected pigs from his farm. A 95% confidence interval for the mean weight was calculated to be from 280.2 to 289.8 pounds. What is being estimated by this confidence interval? Choose one: a. the weights of all pigs at this farm. b. the mean weight of 25 pigs at this farm. c. the mean weight of all pigs at this farm. d. the middle 95% of weights for pigs at this farm.
1. Getting a good night's sleep is essential for teenage students to perform optimally during school. According to the National Sleep Foundation, high school students need at least 8 hours of sleep for optimal performance at school the following day. Based on a sleep study of 459 students, a 95% Confidence Interval for the true mean sleeping time (in hours) was calculated to be (7, 7.28) hours. a. Researchers want to test if students, on average, are getting more than the required amount of sleep to perform optimally at school. State the null and alternative hypothesis in proper notation. b. What conclusion can you make about the null and alternative hypothesis based on the confi- dence interval ?
2.) A survey of 200 college students revealed that 160 of them eat dessert daily. Construct a 95% confidence interval for the population proportion of college students who eat dessert daily. Can we claim that 75% eart dessert daily?
In a survey conducted by the Gallup Organization, 1100 adult Americans were asked how many hours they worked in the previous week. Based on the results, a 95% confidence interval for the mean number of hours worked had a lower bound of 42.7 and an upper bound of 44.5. Provide two recommendations for decreasing the margin of error of the interval. Select the two recommendations that would decrease the margin of error of the interval. U A. Decrease the confidence level. B. Decrease the sample size. C. Increase the confidence level. D. Decrease the standard deviation of hours worked. E. Increase the sample size. F. Use fewer degrees of freedom.
A Gallup poll of 1487 adults showed that 43% of the respondents have Facebook pages. Construct a 95% confidence interval for the proportion of adults who have a Facebook page.