A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in fall has a mean length of 123 millimeters and a standard deviation of 14 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean len of 117 millimeters and a standard deviation of 13 millimeters. At a = 0.01, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Which hypothesis is the claim? O The alternative hypothesis, H, O The null hypothesis, Ho (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal placos as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. O A. 12to

A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in fall has a mean length of 123 millimeters and a standard deviation of 14 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean len of 117 millimeters and a standard deviation of 13 millimeters. At a = 0.01, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Which hypothesis is the claim? O The alternative hypothesis, H, O The null hypothesis, Ho (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal placos as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. O A. 12to

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a…

Q: What percentage of students from this school earn scores that satisfy the admission requirement?…

A: It is given thatMean, μ = 1490Standard deviation, σ = 296Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: modern dietary habits, the mean sodium level for healthy adults, H, now differs from that given in…

A: Solution: Given information: n= 50 Sample size x = 134 Sample mean μ= 139 Population mean σ= 15…

Q: Two companies, A and B, drill wells in a rural area. Company A charges a flat fee of 3296 dollars to…

A: The depths of wells drilled in this area have a normal distribution with a mean of 235 feet and a…

Q: The speeds of all cars on the tollway was found to be normally distributed with a mean of 63 miles…

A: It is given that that µ=63 mile per hour. Obtain the standard deviation of the speeds of all cars:

Q: n the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures…

A: Solution: Given information: n= 5000 Sample size x = 97.9 Sample mean μ= 98.6 Population mean σ=…

Q: The weight of adult male grizzly bears living in the wild in the continental United States is…

A: Given that: Adult male grizzly bears: Population mean, μ=500 Population standard deviation, σ=50…

Q: The daily commuter to work for a section of interstate has a mean of 22 minutes and a standard…

Q: Anna scored 80 in both Course A and Course B. Course A had a mean of 70, and standard deviation of…

Q: The lengths of trout in a lake are normally distributed with a mean of 30 inches and a standard…

A: The z-score denotes how many standard deviations an individual raw score is away from the mean The…

Q: An old medical textbook states that the mean sodium level for healthy adults is 139 mEq per liter of…

Q: suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and…

A: Answer:- Given, Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700…

Q: According to the historical data, the life expectancy in Egypt is equal to the life expectancy in…

A: Given Information : According to the historical data , the life expectancy in Egypt is equal to the…

Q: A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of…

A: The question seems to involve the concept of standard deviation, which is a measure of the amount of…

Q: he United States ranks ninth in the world in per capita chocolate consumption; Forbes reports that…

A: Given : Sample size (n) = 38 Sample mean (X) = 10.05 Sample SD (S) = 1.5 L.o.s (α) = 0.05…

Q: A laboratory in Oregon is interested in finding the mean chloride level for a healthy resident in…

A: GivenMean(x)=104standard deviation(σ)=38sample size(n)=150confidence level=99%

Q: Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout.…

A: Givenaverage length of trout caught in Pyramid Lake is μ = 20 inches.Sample size = 37sample mean =…

Q: The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a…

Q: Lazurus Steel rporation produces iron rods that are supposed to be 36 inches long. The machine that…

Q: weighs 170 lbs with a standard deviation of 8 lbs and the average female tennis player weighs 125…

Q: Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout.…

A: Determine the level of significance. Significance level: In order to decide how small the…

Q: A manufacturer of calculator batteries claims that the mean length of life for its battery is 500…

A: The empirical graph is, The random variable X is defined as the length of life for its battery. The…

Q: For a random sample of 90 overweight men, the mean number of pounds that they were overweight was…

Q: A researcher measured the walking speed of travelers in the crazy town municipal airport and banana…

A: The null and alternative hypothesis is,

Q: The mean height for baby African giraffes is = 68.5 inches, with a standard deviation of = 3…

A: we have given baby giraffes baby zebras mean (xbar) 68.5 62.7 standard deviation (sigma) 3…

Q: In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures…

A: From the given information, The mean of the temperature value of 5000 is 97.9F

Q: The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a…

A: Given that the heights of adult men in America are normally distributed, with a mean of 69.2 inches…

Q: Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine…

Q: An old medical textbook states that the mean sodium level for healthy adults is 142 mEq per liter of…

A: From the provided information, Sample size (n) = 36 Sample mean (x̄) = 138 Population standard…

Q: The completion time for male Olympic marathon runners is approximately normally distributed with a…

A: First, we need to calculate the range of usual times for male runners. This is done by calculating…

Q: The number of peas in a pod varies from farm to farm. In a random sample of 50 pods from farm A,…

A: Given Information: The random sample of size from farm A, n1=50 The sample mean of peas per pod in…

Q: In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures…

A: Followings are the Explanation of the question Use the one sample Z test Given that, 1)The…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in
fall has a mean length of 123 millimeters and a standard deviation of 14 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length
of 117 millimeters and a standard deviation of 13 millimeters. At a = 0.01, can you support the marine biologist's claim? Assume the population variances are equal.
Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below.
Which hypothesis is the claim?
The alternative hypothesis, H,
O The null hypothesis, Ho
(b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below.
(Type an integer or decimal rounded to three decimal placbs as needed. Use a comma to separate answers as needed.)
Select the correct rejection region(s) below.
OA. t>to

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

According to a recent poll, 26% of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to the regions healthcare system" and are a major concern to health insurance providers. Assume the standard deviation from the recent studies is accurate and known. According to recent studies, cholesterol levels in healthy adults from the area average about 206 mg/dL, with a standard deviation of about 35 mg/dL, and are roughly Normally distributed. If the cholesterol levels of a sample of 40 healthy adults from the region is taken, answer parts (a) through (d). (a) What is the probability that the mean cholesterol level of the sample will be no more than 206? P(y≤206) .500 (Round to three decimal places as needed.) (b) What is the probability that the mean cholesterol level of the sample will be between 201 and 211? P(201
A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.7 kilograms with a sample standard deviation of 7.16 kilograms. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.90 kilograms. Can you conclude that the mean weight loss differs between the two diets? Use a = 0.01. Use the critical value method.
The mean home sales price can vary greatly depending on location. A random sample of 10 single-family homes in Riverside had a mean sales price of $300 per square foot with a standard deviation of $66 per square foot. A random sample of 16 single-family homes in Corona had a mean sales price of $320 per square foot with a standard deviation of $75 square foot. Does the data provide sufficient evidence to indicate a difference in the home sales prices between Riverside and Corona? Use the critical value approach at the 5% level of significance.
Based on daily measurements, Brenda's weight has a mean of 200 pounds with a standard deviation of 16 pounds, while Karen’s weight has a mean of 125 pounds with a standard deviation of 15 pounds. Who has the smaller coefficient of variation?
A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams. Based on this report, what is the approximate standard deviation of weight for this species of cockroaches?
A luxury furniture manufacture will make custom furniture for their customers. Pricing is based on the number of hours of skilled labor it takes to make a piece. The time it takes to make a custom couch is normally distributed with an average of 280 hours and a standard deviation of 40 hours. show work and calculations What percent of custom couches take between 240 to 320 hours to make? What percent of custom couches take 255 hours or less to make?
A biologist wants to estimate the difference between the mean body lengths of green and brown stinkbugs. A random sample of 20 green stinkbugs has a mean body length of 16.22 millimeters (mm) and a standard deviation of 1.34 mm. A random sample of 20 brown stinkbugs has a mean body length of 13.41 mm and a standard deviation of 0.73 mm. What is the standard error of the difference (green - brown) between the sample means?
The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a standard deviation of 2.62 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.4 inches and a standard deviation of 2.59 inches.a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 10 cm with a standard deviation of 0.05 cm. For what lengths will a bolt be destroyed?
Lake Quanipaug in Connecticut is famous for its yellow perch. Studies have found that the national mean length is µ = 8.2 inches. However, a random sample of 31 fish caught during Memorial weekend at Lake Quanipaug, had a sample mean of x̄=7.1 inches, with an estimated sample standard deviation of s = 3.8 inches. Do these current data indicate that the average length of the yellow caught at Lake Quanipaug is less than historical µ = 8.2 inches? Use α = .02. State α, Ho, H1, p-value, rejection, or non-rejection, and be certain to interpret your results.
The average height of 20 students in a class is 160 cm with a standard deviation of 10 cm. If a new student with a height of 180 cm joins the class, what will be the new average height?
Normal healthy resting pulse raté for 30 year old males has a mean of 71 beats per minute and a standard deviation of 8 beats per minute. Normal healthy resting pulse rates for 30 year old female has a mean of 76 beats per minute and a standard deviation of 10 beats per minute. Melissa (a 30 year old female) has a resting pulse rate of 83. John (a 30 year old male) has a resting pulse rate of 80. What is Melissa's z-score for her resting pulse rate? * Do you want to switch to tablet mode? This makes Windows more touch-friendly when using your device as a tablet. Always ask me before switching Yes No Ouection 8 /0 25 nointc)