You wish to test the following claim (Ha) at a significance level of a = 0.05.79.7H.:µ < 79.7You believe the population is normally distributed, but you do not know the standard deviation. You obtainthe following sample of data:data95.359.859.363.442.9What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)test statistic =What is the P-value for this sample? (Report answer accurate to 3 decimal places.)P-value =The P-value is...less than (or equal to) agreater than aThis test statistic leads to a decision to...reject the nullfail to reject the nullAs such, the final conclusion is that...O The sample data support the claim that the population mean is less than 79.7.O There is not sufficient sample evidence to support the claim that the population mean is less than79.7.

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Answered: You wish to test the following claim…

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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You wish to test the following claim (H.) at a significance level of a = 0.02. H,:µ = 62.5 Ha:µ > 62.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 67.6 80.2 74.4 66.3 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a
Gestation Periods of Humans. Gestation periods of humans have a mean of 266 days and a standard deviation of 16 days. Let y denote the variable "gestation period" for humans.a. Find the standardized variable corresponding to y.b. What are the mean and standard deviation of the standardized variable?c. Obtain the z-scores for gestation periods of 227 days and 315 days. Round your answers to two decimal places.d. Interpret your answers in part (c).
The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is less than 1.3 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. Complete parts (a) through (d) below. A Click on the icon to view the data. a. Identify the null and alternative hypotheses. Choose the correct answer b i Customer Waiting Times O A Ho: o=1.3 minutes HA:o#1.3 minutes Customer Waiting Times (in minutes) 6.1 C. Ho: 0=1.3 minutes HA:o<1.3 minutes 8.7 6.1 6.8 7.2 6.2 6.9 6.8 6.8 7.5 7.8 7.6 6.7 7.4 b. Compute the test statistic. 6.6 10.3 6.5 7.8 6.4 7.7 4.4 7.2 7.3 7.7 6.4 (Round to two decimal places as needed.) 6.6 7.1 6.2 6.2 7.6 6.5 6.7 7.3 6.9 8.1 5.5 6.3 6.2 7.4 7.1 7.2 6.9 6.4 6.1 6.9 6.1 6.3 7.9 6.4 7.9 6.7 14.2 6.2 8.1 7.8 7.3 7.5 6.9 7.7 7.5 Print…
What is the test statistic and P value?
You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 73.7 HaiH + 73.7 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 54 mean: M = 65.8 standard deviation: SD = 20.1. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... less than (or equal to) a greater than a This leads to a decision to... reject the null accept the null fail to reject the null So, the final conclusion is that... The data do not support the claim of the alternative hypothesis that the population mean is not equal to 73.7. The sample data support the claim of the alternative hypothesis that the population mean is not equal to 73.7.
You wish to test the following claim (Ha) at a significance level of a = 0.02. || 74.4 Ha:µ + 74.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 82.1 86.3 73.9 81.8 66.3 56.6 73.4 74.7 78.5 93.6 60 79.8 71.4 76.3 86.8 60 82.1 69.6 87.7 79.5 96.1 88.2 97.9 81.8 66.7 72 86.3 82.1 78.7 57.9 79.3 62.9 85.5 75 75.5 71.1 64 71.7 62.3 86.3 69.2 80.9 85.2 75.8 88.2 83.7 65.9 63.5 86.3 67.1 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
the weight of an organ in adult males has a bell shaped distribution with a mean of 350 grams and a standard deviation of 50 grams. use the empirical rule to determine the following a. about 99.7% of organs will be between what weights? b. what percentage of organs weighs 300 grams and 400 grams ? Plzz explain both question. Ty
You wish to test the following claim (H.) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ > 75.8 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 73 mean: M = 77.2 standard deviation: SD = 8.5. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P.value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This leads to a decision to... O reject the null O accept the null O fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is greater than 75.8. O The sample data support the claim of the alternative hypothesis that the population mean is greater than 75.8.
Two independent laboratories have produced drugs that provide relief to arthritis and the results is shown below. At 5% level of significant, can we conclude that the drug produced by laboratory A significantly causes a shorter period of relief (in Hours) than that of a drug produced by laboratory B? Laboratory Sample Mean Standard Deviation A 75 4.5 2.5 B 60 5.5 2.0
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
You wish to test the following claim (H.) at a significance level of a 0.02. H,:p = 79.3 H: u > 79.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 7 with mean M 105.5 and a standard deviation of SD= l6.5. %3D What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This p-value leads to a decision to... reject the null Oaccept the null fail to reject the null As such, the final conclusion is that... 5There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 79.3. | There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 79.3. The sample data support the claim that the population mean is greater than 79.3. There is not sufficient sample evidence to support the claim that the population mean is greater than 79.3.
Apply the Empirical Rule to solve the following: The weight of a newborn manatee calf is normally distributed with a mean of 66 lbs and a standard deviation of 4 lbs. (Do NOT overuse the calculator on this problem. Apply the Empirical Rule.) a.Draw and label the normal curve. (Don’t forget the word label on the x-axis) b.What percent of manatee calves have a birth weight between 54 and 78 lbs? c. What percent of manatee calves have a birth weight of more than 74 lbs? d .What is the birth weight of the middle 68% of manatee calves? e. What percent of manatee calves weigh more than 58 lbs at birth? f. How much do the smallest 0.15% of manatee calves weigh at birth? g. What percent of manatee calves weigh less than 62 lbs at birth? h. What percent of manatee calves weigh 66 lbs or more at birth?

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