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.

Answered: Image /qna-images/answer/f92a46f2-c6d1-485a-98e1-9a35234071c4.jpg

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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The weight gains of animals during a period of confinement follow a normal distribution of mean 39.0 and standard deviation 1.0 kg. Answer the following questions.a. Above what weight gain are 99% of the animals?
Bananas are a fruit, eh. The weight of bananas, in grams, is normally distributed with mean 105.2 and standard deviation 15.9. a. What type of variable is banana weight? b. What proportion of bananas have a weight between 97.8 grams and 106.2 grams? c. What weights marks the 80th percentile of banana weights?
Suppose that water usages in American showers are normally distributed, with an average shower using 17.1 gallons, and a standard deviation of 3.5 gallons. Estimate the percentage of showers that used(a) between 6.6 and 27.6 gallons.__________%(b) more than 27.6 gallons.__________ %(c) less than 13.6 gallons. __________%(d) between 13.6 and 27.6 gallons. __________% Answer the blanks.
Scores on the Wechsler Adult Intelligence Scale for the 2020 to 3434 age group are approximately Normally distributed with a mean of 110 and a standard deviation of 15. How high must a person score to be in the top 5%5% of all scores? Enter your answer as a whole number.
The mean weight of the eight-month-old baby is 17.75 pounds with standard deviation 1.225 pounds. The mean weights are approximately normal. Use Empirical Rule to summarize the data. Can we apply Empirical Rule to summarize the data in this problem? Ans: Then answer the following questions: Approximately ___ % of the eight-month-old babies weigh between and pounds. Approximately ___ % of the eight-month-old babies weigh between 15.3 and pounds. Approximately 99.7% of the eight-month-old babies weigh between and pounds.
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
Assuming that the heights of college women are normally distributed with mean 63 inches and standard deviation 1.7 inches, answer the following questions. (Hint: Use the figure below with mean u and standard deviation O.) Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% P- 30 u - 20 u + 20 u + 30 68% 95% 99.7% (a) What percentage of women are taller than 63 inches? % (b) What percentage of women are shorter than 63 inches? (c) What percentage of women are between 61.3 inches and 64.7 inches? (d) What percentage of women are between 59.6 and 66.4 inches?
Assuming that the heights of college women are normally distributed with mean 62 inches and standard deviation 3.5 inches, what percentage of women are taller than 55 inches? Group of answer choices 0.1% 97.7% 84.1% 50% 99.9%
Returning to the sample of adult women, with a sample mean height of x¯=64.3 inches and sample standard deviation of s=2.4 inches, use the Empirical Rule to estimate the percentage of heights that are less than 61.9 inches. Round your answer to the nearest whole number (percent).
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?
What was the age distribution of prehistoric Native Americans? Extensive anthropological studies in the southwestern United States gave the following information about a prehistoric extended family group of 84 members on what is now a Native American reservation. For this community, estimate the mean age expressed in years, the sample variance, and the sample standard deviation. For the ciass 31 and over, use 35.5 as the class midpoint. (Round your answers to one decimal place.) Age range (years) Number of individuals 1-10 11-20 19 21-30 15 31 and over 40 10
When members of a philanthropic organization send out a fundraising letter, they get a return from about 7% of the people on their mailing list. They simulated 1000 mailings for samples of size n with success rate p = 0.07. The sample statistics from each simulation are shown in the table. Complete parts (a) through (d) below. Click the icon to view histograms of the simulations. n 20 theoretical standard deviation n 20 50 100 200 a) According to the Normal model, what should the theoretical mean and standard deviations be for these sample sizes? Complete the following table. theoretical mean 50 100 200 (Round to four decimal places as needed.). mean 0.0699 0.0708 0.0705 0.0693 standard dev. 0.0567 0.0366 0.0256 0.0179

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