Big babies: The National Health Statistics Reports described a study in which a sample of 355 one-year-old babyboys were weighed. Their mean weight was 24.9 pounds with standard deviation 5.3 pounds. A pediatrician claimsthat the mean weight of one-year-old boys is less than 25 pounds. Do the data provide convincing evidence that thepediatrician's claim is true? Use the a 0.10 level of significance and P-value method with theCritical Values for the Student's t Distribution Table.(a) State the appropriate null and alternate hypotheses.(b) Compute the value of the test statistic.(c) State a conclusion.

a) From the given information, the claim of the problem is testing whether the mean weight of…

Answered: Big babies: The National Health…

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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Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. A government set a safety limit for cadmium in dry vegetables at 0.5 parts per million (ppm). The cadmium levels in a random sample of one species of edible mushroom are in the accompanying data set. At the 10% significance level, do the data provide sufficient evidence to conclude that the mean cadmium level in this species of mushroom is greater than the government's recommended limit of 0.5ppm? Assume that the population standard deviation of cadmium levels in this species of mushroom is 0.45 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 6.57 ppm.) 0.32 0.44 0.17 0.23 0.79 1.21 0.84 0.24 0.46 0.41 0.92 0.54 State the hypotheses for the one-mean z-test.H0: μ (≠, >, <, =) ________ppmHa: μ (≠, >, <, =) _________ppmCompute the value of the test…
Many cheeses are produced in the shape of a wheel. Because of the differences in consistency between these different types of cheese, the amount of cheese, measured by weight, varies from wheel to wheel. Heidi Cembert wishes to determine whether there is a significant difference, at the 10% level, between the weight per wheel of Gouda and Brie cheese. She randomly samples 18 wheels of Gouda and finds the mean is 1.3 lb with a standard deviation of 0.3 lb; she then randomly samples 10 wheels of Brie and finds a mean of 0.95 lb and a standard deviation of 0.21 lb. What is the df and p-value for Heidi's hypothesis of equality? Assume normality. (Give your answer correct to four decimal places.)
Big babies: The National Health Statistics Reports described a study in which a sample of 335 one-year-old baby boys were weighed. Their mean weight was 25.2 pounds with standard deviation 5,3 pounds. A pediatrician claims that the mean weight of one-year-old boys differs from 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the a= 0.01 level of significance and the P-value method with the TI-84 Plus calculator. Answer the following three.
A bridal gown shop owner owns a store in San Francisco and a store in Redwood city. She is trying to figure out if clients tend to spend the same amount at both stores. She takes a random sample of 25 purchases from each store, and find the San Francisco store has a mean amount spent of $2500 with a standard deviation of $1500. The Redwood City store has a mean amount spent of $2000 with a standard deviation of $1000. Use a significance level of 10% to determine if the clients at the two stores spend the same amounts. State: Plan: Do: Conclude:
Two brands of batteries are tested, and their voltages are compared. The summary statistics follow. For sample 1, the sample size is 27; the population standard deviation is 0.3 volts and the mean is 9.2 volts. For sample 2, the sample size is 30; the population standard deviation is 0.1 volts and the mean is 8.8 volts. Is the mean of sample 1 smaller than the mean of sample 2? Using a significance level of 0.05. a) Identify the claim and state the hypotheses. b) What is the test statistics? Find the critical values (s). c) Make the decision to reject or not reject the null hypothesis and explain why. d) Graph your decision and include all the values. That is, the mean, the standard deviation, the critical value(s), the rejection region. e) Set up the formula with the correct numbers for the 95% confidence interval of the mean number of jobs.
Fuel efficiency of Prius: Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is: (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
The U.S. Census Bureau reported that the mean area of U.S. homes built in 2012 was 2505 square feet. A simple random sample of 17 homes built in 2013 had a mean area of 2666 square feet with a standard deviation of 212 feet. Can you conclude that the mean area of homes built in 2013 is greater than the mean area of homes built in 2012? It has been confirmed that home sizes follow a normal distribution. Use a 10% significance level.Round to the fourth H0= HA= Test Statistic= P-value= Did something significant happen? Select the Decision Rule: There ( is or is not) enough evidence to conclude that the mean area of homes built in 2013 were (equal or greater) to the homes built in 2012?
CNN/Money reports that the mean cost of a speeding ticket, including court fees, was $150.00 in 2002. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 150 drivers who have been fined for speeding in the last year, and find that they paid a mean of $154.00 per ticket. Assuming that the population standard deviation is $17.54, is there sufficient evidence to support the police department’s claim at the a = 0.05 significance level?
According to the Statistical Abstract of the United States, the mean family size in 2010 was 3.14 persons. Suppose a random sample of 225 families taken this year yields a sample mean size of 3.05 persons, and suppose we assume the population standard deviation of family sizes is o = 1 person. Using a 5% significance level, test the hypothesis that the mean family size has decreased since 2010. Perform your hypothesis test, and select the best interpretation of your results from the choices below. Select one: O a. At the 5% level of significance the data are statistically significant. We cannot determine the average family size has decreased since 2010. O b. At the 5% level of significance the data are statisticall significant. We can determine the average family size has decreased since 2010. O c. At the 5% level of significance the data is not statistically significant. We cannot conclude the average family size has decreased since 2010. O d. At the 5% level of significance the data…
is there a doctor in the house? A market research firm reported the mean annual earnings of all family practitioners in the United States was $178,258 . A random sample of 47 family practitioners in Los Angeles had mean earnings of x $192,890 with a standard deviation of $43,117 . Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles is greater than the national average? Use the a 0.01 level of significance and the p-value method with the Critical Values for the Student's t Distribution Table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion.

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