The mean water temperature downstream from a power plant cooling tower discharge pipe should be no less than 98°F. Past experience has indicated that the standard deviation of temperature is 2.1°F. The water temperature is measured on nine randomly chosen days, and the average temperature is found to be 96°F. Should the water temperature be judged acceptable with 10% level of significance? the complete Test of Hypothesis

The mean water temperature downstream from a power plant cooling tower discharge pipe should be no less than 98°F. Past experience has indicated that the standard deviation of temperature is 2.1°F. The water temperature is measured on nine randomly chosen days, and the average temperature is found to be 96°F. Should the water temperature be judged acceptable with 10% level of significance? the complete Test of Hypothesis

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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It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is not 98.6° F. You collected data using 44 healthy people and found that they had a mean body temperature of 98.19° F with a standard deviation of 1.17° F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6° F. a) Identify the null and alternative hypotheses? Ho:[? v b) What type of hypothesis test should you conduct (left , right , or two-talled)? O left-tailed Oright talled O two tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. null hvoothosis? esc 000 000 F1 F2 F3 F4 F5 F6 @ # $ % 1 2 3 4 5 6 品

O The FCC conducts broadband speed tests to measure how much data per second passes between a consumer's computer and the internet. As of August of 2012, the standard deviation of Internet speeds across Internet Service Providers (ISPS) was 12.2 percent. Suppose a sample of 15 ISPS is taken, and the standard deviation is 13.2. An analyst claims that the standard deviation of speeds is more than what was reported. State the null and alternative hypotheses, compute the degrees of freedom, the test statistic, sketch the graph of the p-value, and draw a conclusion. Test at the 1% significance level.
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1521 and a standard deviation of 301. The local college includes a minimum score of 888.9 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement?
An automobile manufacturer claims that their van has a 51.4 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 250 vans they found a mean MPG of 51.5. Assume the standard deviation is known to be 2.2. Is there sufficient evidence at the 0.01 level that the vans outperform the manufacturer's MPG rating? Step 4 of 5: Enter the decision rule. Reject Ho if z >
Assume that human body temperatures are normally distributed with a mean of 98.19°F and a standard deviation of 0.64°F. a. A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6°F is appropriate? b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.) Click to view page 1 of the table. Click to view page 2 of the table. a. The percentage of normal and healthy persons considered to have a fever is %. (Round to two decimal places as needed.) Does this percentage suggest that a cutoff of 100.6°F is appropriate? O A. No, because there is a large probability that a normal and healthy person would be…
The mean consumption of water per household in a city was 1244 cubic feet per month. Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 96 households was found to be 1164 cubic feet per month. The population standard deviation is given to be 257 cubic feet. a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaign by the city council. Would you reject the null hypothesis at a = 0.025? Round your answer to four decimal places. p-value = We i b. Make the test of part a using the critical-value approach and a = 0.025. Zobserved Round your answer for z to two decimal places. We Ho. i Ho. We conclude that the mean consumption of water per household has due to the campaign by the city council.
Assume that human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.64°F. a. A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6°F is appropriate? b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.)
Assume that human body temperatures are normally distributed with a mean of 98.19°F and a standard deviation of 0.62°F. a. A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6°F is appropriate? b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.)
It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is not 98.6° F. You collected data using 53 healthy people and found that they had a mean body temperature of 98.33° F with a standard deviation of 0.93 ° F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6° F. a) Identify the null and alternative hypotheses? Họ: ? H1: ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.
Over a period of 10weeks, a veterinarian took blood glucose reading from a horse, finding a mean of 93.8 mg/100 ml. and a standards deviation of 12.5 mg/ml. The mean glucose level for a healthy horse is 85 mg/ml. a. Perform a test of hypothesis at a 80% confidence level. Use the p-value method and a two tailed test of hypothesis. b. Perform a test of hypothesis at a 90% confidence level. Use the critical value method and a right tailed test.
A public bus company official claims that the mean waiting time for Bus # 14 during peak hours is approximately 10 minutes. Karen took Bus # 14 during peak hours on 36 different occasions. Her mean waiting time was 8.7 minutes. Assume that the population standard deviation o of 2.9 minutes is known. At the 0.01 significance level, test if the mean of all the peak hours waiting time for Bus # 14 is significantly different from 10 minutes.
The mean ACT score for 43 male high school students is 21.1 and the standard deviation is 5.0. The mean ACT score for 56 female high school students is 20.9 and the standard deviation is 4.7. At the 1% significance level, can you reject the claim that male and female high school students have equal ACT score averages? Be sure to use the p-value to make your conclusion.