Question 1a) The average height of females in the freshman class of a certain collegehas historically been 162.5 centimeters with a standard deviation of 6.9centimeters. Is there reason to believe that there has been a change in theaverage height if a random sample of 50 females in the present freshman classhas an average height of 1652 centimeters? Use a P-value in your conclusionAssume the standard deviation remains the same.b) It is claimed that automobiles are driven on average more than 20,000kilometers per year. To test this claim, 100 randomly selected automobileowners are asked to keep a record of the kilometers they travel. Wouldyou agree with this claim if the random sample showed an average of23,500 kilometers and a standard deviation of 3900 kilometers? Use a P-value in your conclusion.c) A study was conducted to see if increasing the substrate concentrationhas an appreciable effect on the velocity of a chemical reaction. With asubstrate concentration of 1.5 moles per liter, the reaction was run 15times, with an average velocity of 7.5 micromoles per 30 minutes and astandard deviation of 1.5. With a substrate concentration of 2.0 moles perliter, 12 runs were made, yielding an average velocity of 8.8 micromolesper 30 minutes and a sample standard deviation of 1.2. Is there anyreason to believe that this increase in substrate concentration causes anincrease in the mean velocity of the reaction of more than 0.5 micromoleper 30 minutes? Use a 0.01 level of significance and assume thepopulations to be approximately normally distributed with equal variances

It is given that Sample size n = 55 Sample mean M = 165.2 Population SD = 6.9 Note : Since you have…

Answered: a) The average height of females in the…

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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Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ=20 inches. However, a survey reported that of a simple random sample of 37 fish caught, the mean length was 17.5 inches, with an estimated standard deviation of 4.3 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ=20 inches? Use α=0.05. What is the value of the test statistic? (Round your answer to two decimal places.)Find the P-value. (Round your answer to four decimal places.)Based on your results, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level αα? A) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. B) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant. C)…
The speed of cars on a specific road is normally distributed with a mean of 54 mph and a standard deviation of 3. The top 2.5% of cars are traveling at at least what mph?
The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. What proportion of hybrids gets over 61 miles per gallon?
A survey reported that in a recent year, the mean serum cholesterol level in milligrams per deciliter for US adults was 204 with a standard deviation of 37. A random sample of 116 adults was chosen. Find the 33rd percentile of the sample mean.
A researcher believes the mean weight of males sulcata tortoises is more than 205 pounds. She samples 18 males sulcatas and find their mean to be 216.2 pounds with a standard deviation of 13.5pounds. Find the p-value p =
The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
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The mean weight of a Great Dane is 63.0 kg with a standard deviation of 2.3 kg. Suppose a researcher randomly samples 61 Great Danes and records the weights of the sampled dogs. Calculate the standard deviation of the mean, rounded to 2 decimal places
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