a. A local pizza restaurant advertisement claims that the restaurant delivers pizzas to thestudent accommodations on campus faster than a local branch of a national pizza chain.Both the local pizza restaurant and national pizza chain are located the same distance fromthe student accommodations. Let the variable of interest be the delivery time (in minutes),from the time the pizza is ordered to when it is delivered.A researcher takes a random sample of 25 pizzas from the local pizza restaurant and 25pizzas from the national chain ordered at different times. The data are summarised usingthe following Microsoft Excel output.Local RestaurantNational Chain18.79220.684MeanVariance12.00310.036Observations2525df48t Stat-2.0151.677t Critical one-tailt Critical two-tail2.011Conduct an appropriate hypothesis test, at a 5% level of significance, to determine whetherthe mean delivery time for the local pizza restaurant is less than the mean delivery time forthe national pizza chain. Assume that the two populations of delivery times are normallydistributed with unequal variances.

Given Information: Local restaurant: Sample mean x¯1=18.792 Sample standard deviation…

Answered: a. A local pizza restaurant…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find the dependent variable and independent variable. 1. A research study was conducted to examine the clinical efficacy of a new antidepressant. Depressed patients were randomly assigned to one of three groups: a placebo group, a group that received a low dose of the drug, and a group that received a moderate dose of the drug. After four weeks of treatment, the patients completed the Beck Depression Inventory. The higher the score, the more depressed the patient. The data are presented below. Compute the appropriate test. 2.Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars’ gas economy (in km/l) was measured. Is there evidence that radial tires produce better fuel economy? 3. Twenty participants were given a list of 20 words to process. The 20 participants were randomly assigned to one of two treatment conditions.…
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An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 20 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 20 differences (Variety A - Variety B) givex¯=3.2x¯=3.2 and s=4.63s=4.63. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu >> 1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) H0H0 : HaHa : (b) Find the test statistic, t = (c) Answer the question: Does this sample provide evidence that Variety A had a higher yield than Variety B? (Use a 5% level of significance) (Type: Yes or No)
An economist was interested in the relation between the disposable income of a family and the amount of money used for food per month. He did a preliminary study on eight randomly selected lower income families. (Each family was of the same size; father, mother and two children). The economist’s data are given in the table below. Food cost (Y) (in hundreds of rand) 55 60 42 40 37 26 39 43 Family disposable income(X) (in hundreds of rand) 30 36 27 20 16 24 19 25 Find the regression linear equation. What is the predicted food cost if the family disposable income is R1800? Find the correlation coefficient & Interpret r. Find the Coefficient of Determination & Interpret the R2.
2. Find the least linear fit to the following data: * * 2 3 2 -3 -3 -1 55
A researcher wants to explore the relationship between two variables: Time 1 and Time 2. Time 1 421 390 459 384 403 Time 2 A. O Matched pairs B. O Inference for regression C. O Two independent samples 400 383 436 362 392 If Time 1 is the time (in seconds) that it took for a random sample of five female college tennis players to run a mile, and Time 2 is the time (in seconds) of a random sample of five female college basketball players to run a mile, which of the following is the appropriate inference method to analyze these data?
Overweight or obese adults from psychiatric programs were recruited and randomly assigned to a treatment group or control group. Patients in the treatment group received both weight-management sessions plus exercise sessions plus their usual care. Patients in the control group received their usual treatment for mental illness and no additional treatment. After 18 months, some of the patients had lost 5% or more of their weight, and some had not. The table summarizes the data. Complete parts (a) and (b) below. Treatment Group Control Group Lost 5% or more 46 29 Did not lose 5% or more 88 106 ..... (a) Find the percentage of each group that lost 5% or more, and compare them descriptively. That is, report both percentages, and indicate what these sample percentages suggest about the effectiveness of the treatment program. Of the treatment group,% of them lost 5% or more. (Round to one decimal place as needed.) Of the control group, % of them lost 5% or more. (Round to one decimal place as…
c. Identify the factors affecting the endogenous variables. Leave blank if variable is exogenous. W: __________ X: __________ Y: __________ Z: __________ A: __________

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