A statistician seeks to put a 55 mph speed limit on a local road due to the high speeds on it.Collecting data from a random sample of 40 cars, he found the average speed to be 58.56 with astandard deviation of 4.23.a) Is it appropriate to create a confidence interval from this data?b) Regardless of your answer from Part a, find the 96% confidence interval for this data set.Calculator Commands and Input:Interval: (c) The statistician will push for the speed limit if the average speed is over 55 mph. Can he do so?Explain your answer.

The question is about confidence interval for popl. mean Given : Randomly selected no. of cars ( n )…

Answered: A statistician seeks to put a 55 mph…

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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Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
If [0.64, 0.82] is a confidence interval for the population proportion. Find the value of the point estimator of the population proportion. Select one: O a. 0.73 O b. 0.70 O c. 0.74 O d. 0.72
From the data plot provided please answer the following questions.
A quiz related to digital knowledge was conducted. The quiz had 10 questions and covered topics such as the purpose of browser cookies, phishing scams, and privacy policies. The survey was given to 50 people. The mean score is 4.1 with a standard deviation of 2.6. We want to know if the data provide evidence that the mean score in the population is lower than 5. We will use alpha = 0.05 to make our decision. part a. Is this a one-sided or two-sided test? part b. What is the standard error for this problem? part c. How many degrees of freedom do we have for this problem? part d. What is the test statistic, t, for this problem? Based on your test statistic and degrees of freedom, the p-value will be between what two values? (If you cannot find the exact df in the table, round down to be safe. So if you have 38 df, round down to 30df.) Group of answer choices The p-value is between .1 and .05 The p-value is between .05 and .025 The p-value is between .025 and .01 The p-value…
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
Which type of confidence interval should you use in this situation? A sample of 25 different payroll departments found that the employees worked an average of 310.3 days a year with a standard deviation of 23.8 days. The distribution is approximately normally distributed. Find the 90% confidence interval for the average days worked of all payroll departments. Question 2 options: 1) a confidence interval for the mean using a table value from the standard normal distribution. 2) a confidence interval for the mean using a table value from the t distribution. 3) a confidence interval for a proportion using a table value from the standard normal distribution. 4) a confidence interval for proportion using a table value from the t distribution. 5) none of the above.
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Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the margin of error? Choose the correct answer below. A. 15 mm B. 52.5 mm O c. 7.5 mm O D. 1.96
Use the histogram below to build a 95% confidence interval of the average heart rate of a person. Put your two numbers below in the spaces provided. Round to one decimal: ex: 98.2 The histogram visualizes the results of doing one thousand studies just like above. We are 95% confident that the average heart rate of a person is between ____and_____ All information needed to answer this problem is present. There is no missing information to this question.
For the given data below, determine: a) the mean b) the standard deviation c) the variance d) the coefficient of variation e) the 95% confidence interval for the mean Also (f) construct a histogram using a range from 7.5 to 11.5 with intervals of 0.5:8.8, 9.5, 9.8, 9.4, 10, 9.4, 10.1, 9.2, 11.3, 9.4, 10, 10.4, 7.9, 10.4, 9.8, 9.8, 9.5, 8.9, 8.8, 10.6, 10.1, 9.5, 9.6, 10.2, 8.9
Given the following information: My confidence intervals: 90% confidence interval = (2.33, 2.56), and 99% confidence interval = (2.26, 2.63) My peer's confidence intervals: 90% confidence interval at ( 2.37 , 2.61 ) and 99% confidence interval at ( 2.31 , 2.67). How do their confidence intervals compare with yours? If the population standard deviation is unknown and the sample size is not sufficiently large, would you still use the Normal distribution to calculate these confidence intervals, or would you choose another distribution? If the latter, which distribution would you choose?
If [1740, 1850] is a confidence interval for a population mean. Find the value of the point estimator of the population mean. Select one: O a. 1910 O b. 1660 O c. 1540 O d. 1795

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