Sample Mean:X =ΣΧWhereΣ= sum (or add up)sample mean= total number of scores, or the sample size=nFor a population, mean is represented by the Greek letter mu (µ)Population Variance:g² = E (X -µ)²NSample Variance:s? = E(X-Xyn - 1Remember that the standard deviation (o or s) is the square root (v ) of the variance.Z Score (for one score/individual):Z = X -µZ Score: One Sample Z test:Z == mean of sampleu = mean of populationO = standard deviation of populationn = sample sizeIn = square root of sample size 4. A researcher in Economics believes that the mean income of psychiatrists is now more than $65 thousand peryear. Which is the correct set of hypotheses to test this belief?a. Ho: µ > 65000; HA: µ < 65000b. Ho: μ < 65000; ΗA: μ > 65000c. Ho: µ = 65000; HA: µ ± 65000d. Ho: µ will be proven to come from a different distribution; HA: µ will be proven to come from the distributionwith a mean of 65000

Answered: 4. A researcher in Economics believes…

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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15. The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 10.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eightfull-time faculty for one week is shown in the table below. At α=0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.2 7.5 12.2 7.2 4.1 9.5 13.7 8.5 Question content area bottom Part 1 (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? A. H0: μ>10.0 Ha: μ≤10.0 B. H0: μ≠10.0 Ha: μ=10.0 C. H0: μ<10.0 Ha: μ≥10.0 D. H0: μ≤10.0 Ha: μ>10.0 E. H0: μ≥10.0 Ha: μ<10.0
1. Below are the results of 30 sixth-grade I.Q. scores. 92 95 97 100 102 106 93 95 98 100 103 108 94 97 99 100 103 108 94 97 100 100 103 108 94 97 100 101 104 109 The histogram for the raw data of 30 sixth-grade I.Q. scores is presented in the graph. 20 18 16 14 12 10 87 94 101 108 115 122 IQ scores Using statistical knowledge, state one valid observation about the distribution of data in context of the scenario. Be sure to write one complete sentence, i.e., use college-level writing, in order to earn full credit. Number of Students
1. If the F ratio in an ANOVA is more extreme than the cutoff score, what does this suggest? a. there is a significant difference between population 1 and population 2 b. there is a significant difference between population 2 and population 3 c. there is a significant difference between populations (but we don’t know where it is) d. there is insufficient evidence for the research hypothesis 2. The equation for the best fit line of a scatter plot (also called the linear prediction rule) is what? a. y = a + bxc. t = r / √((1-r2)/df) b. β = b*(√SSX/√SSY) d. a = (MY – (b)(MX))/df
39. The cumulative frequency table below shows the length of time that 30 students spent text messaging on a weekend. Minutes Used 31-40 31-50 31-60 31-70 31-80 1) 31-40 2) 41-50 3) 51-60 4) 61-70 Cumulative Frequency 2 5 10 19 30 Which 10-minute interval contains the first quartile? deled as a linear equation? esses by 10% 's s and 84) mumixem a esd) 3) Two lib liten pool eve The (E (A) day. OLSE dy desperat
The average monthly rent for one-bedroom apartments in New York has been $900. Because of the inflation in the housing market, it is believed that there has been an increase in the average rental. The correct hypotheses to be tested are Ho: μ ≥ 900 Ho: μ = 900 Ho: μ > 900 Ho: μ 900.
In a certain populalion, let us assume that IQ scores are normally distributed with mean of 100 and standard devialion of 15. What percentage of the population have IQ scares more than 116? Select one: a. 0.6808 O b. 0.2327 O c. 0.3192 C d. 0.8577 e. 0.1423 f. 0.7673
1. In the credit card default data, we would like to predict the default status of a cus- tomer based on the monthly balance, the student indicator and the income. The input coding for class predictors is set as Deviation. Given the following output from logistic regression, what is the estimated probability of default for a student with a balance of $2500 and an income of $40000? Analysis of Haxinun Likelihood Estinates Standard Vald Error Chi-Square Pr > Chisq Paraneter default DF Estinate Intercept Yes -11.1924 0.4506 616.84 <.0001 balance Yes 0.00574 0.000232 611.89 <.0001 incone Yes 3.033E-6 8.203E-6 0.14 0.7115 student No Yes 0.3234 0.1181 7.49 0.0062
6. True or False? Assume the below life table was constructed from following individuals who were diagnosed with slow-progressing form of prostate cancer and decided not to receive treatment of any form. The calculated survival probability for year 3, if the Kaplan-Meir approach is used to calculate the survival probability, is approximately 0.7438. Time in years Number at risk Nt Number of deaths, Dt Number of censored Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1
21. in a regression model if the error distribution is normally distributed then A. None B. Residual plot will give a line with 45angles with the X-axis. C. Normal probability plot will give a line with slope 1. D. Normal probability plot will give a line with 15° angles with the X-axis.
1. Suppose the weight of a dog breed is approximately normally distributed, with a mean of 75 pounds and a standard deviation of 2.4 pounds. Use the empirical rule to answer question one through five. Using the empirical rule, fill in the blanks: а. 68% of the weights will be between and _% of the weights will be between and 79.8 pounds _% of the weights will be between and b. The empirical rule can only be used when c. What percent of dogs weigh less than 77.4 pounds? d. What percent of dogs weigh more than 72.6 pounds? e. What percent of dogs weigh less than 70.2 pounds?. f. Using appropriate methods find what percent of the dogs will weigh between 68 and 81 Ibs.
13. Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 65 cities is 2.37 parts per million and the standard deviation is 2.12 parts per million. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. Which of the following correctly states H0 and Ha? H0: muμ greater than or equals≥ 2.31 2.31 Ha: muμ less than< 2.31 2.31 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. Part 2 (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0=negative 1.30 −1.30. (Use a comma to separate answers as…
State the null and alternative hypotheses that would be used to test the following claims. 1. (a) There is a difference between the mean ages of employees at two different large companies. (b) The mean of population A is less than 50 more than the mean of population B. (c) The average length of the workweek in mining is longer than that in manufacturing.

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