A pit crew claims that its mean pit stop time (for 4 new tires andfuel) during an auto race is different than 13 seconds. A randomsample of 40 pit stop times has a sample mean of 12.9 secondsand a population standard deviation of 0.3 second. Let a = 1%.Answers should be based on Rguroo-> mean inference -> onepopulation output.a) The parameter of interest is [Select]b) The null hypothesis Ho: μ [Select]alternative hypothesis Ha:μ ‡ 13c) The observed value is [Select][Select]ox= [Select]d) The researcher can reject the null for < [Select]and > [Select]Region Graph")e) P(type I error)= [Select]and the.~ Normal(μ==~). (Rguroo: Details->choose "Criticalf) The probability of observing a value more extreme than alreadyobserved in the direction of the alternative isP-value = 2P(< 12.9)[Select]g) Result: [Select]

Given that Sample size n =40 Sample mean=12.9 Population Standard deviation =0.3 NOTE:- According…

Answered: a) The parameter of interest is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A researcher conducts a study comparing two treatments and reports the t statistic as t(25) = 2.10. A) If the study used between-subjects design, how many individuals participated in the entire study? B) If the study used within-subjects design, how many individuals participated in the entire study? C) Using a two-tailed test with α = .05, is there a significant difference between the two treatments?
A researcher used a sample of n =16 adults between the ages of 40 and 45. For each person, the researcher recorded the difference between the ratings obtained while smiling and the rating obtained while frowning. On average the cartoons were rated as funnier when the participants were smiling, with an average difference of MD = 1.6, with SS = 135. Are the cartoons rated as significantly funnier when the participants are smiling ? Use a one-tailed test with α = .05. Compute r2 to measure the size of the treatment effect. r2 is
Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test Ho : HA HB vs Ha : HA # µB using the fact that Group A has 8 cases with a mean of 125 and a standard deviation of 18 while Group B has 15 cases with a mean of 118 and a standard deviation of 14.
In a lake pollution study, the concentration of lead in the upper sedimentary layer of a lake bottom is measured from 25 sediment samples. The sample mean and the standard deviation of the measurements are found to be 0.38 and 0.06, respectively. Suppose Ho : u = 0.34 H1: u# 0.34 (a) State Type I and Type Il errors. (b) Conduct a hypothesis test at 0.01 level of significance by doing the seven-step classical approach. (please show all seven steps, formulas, calculations and the curve)
A major credit card company is investigating whether the distribution of the number of credit cards used by its customers has changed from last year to this year. Customers are classified as using 1 card, 2 cards, or more than 2 cards. The company conducts a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of number of cards used from last year to this year. The value of the chi-square test statistic was χ2=7.82χ2=7.82 with a corresponding pp-value of 0.02. Assuming the conditions for inference were met, which of the following is the correct interpretation of this pp-value?
Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let μ₁ = mean before workout. Select the correct Hypotheses: Ho:με 2 με Η: μι = με Η: μη μ₂ O O O Conclusion: before 69 69 65 62 63 61 after 73 75 72 70 68 59 O Fail to Reject Ho ● Reject Ho Test Statistic = p-value = Ho:μd = 0 H₁: Hd ‡0 O [three decimal accuracy] [three decimal accuracy] Ho:μα 20 Ha:Pa 0 O Interpret the conclusion in context: ● There is enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout. O There is not enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout.
Serum nitrite concentrations (in μmol/L) were compared between a group of unmedicated HIV+ subjects (n =7) and a control group (n = 10). The HIV+ distribution is strongly skewed.a) Use a Wilcoxon-Mann-Whitney U test to determine if there is convincing evidence at α = 0.05 thatserum nitrite levels differ between the two populations. b) What would have been the U test p-value if researchers had instead hypothesized that serum nitriteconcentrations would tend to be larger in the HIV+ population? HIV+ Control 0.266 0.167 0.269 0.201 0.299 0.205 0.335 0.232 0.503 0.234 0.846 0.260 0.946 0.268 0.288 0.301 0.305
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a) The parameter of interest is [Select] >) The null hypothesis Ho : µ alternative hypothesis Ha: C) The observed value is [Select ] ox = [Select] " [Select] 13 [Select] and the ~ Normal(μz