The National Weather Service says that the mean daily high temperature for October in a large mid-western city is 56°F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean is actually lower than 56°F. A sample of mean daily high temperatures for October over the past 37 years yields a sample mean of 54° F. Assume that the population standard deviation is 5.6° F. Perform the hypothesis test at the 1% significance level. STEP 1. Ho: H O H1:H NOTE: For enter/= STEP 2. This test is (e) left-tailed, (f) two-tailed or (g) right-tailed test. This test is (enter e, f or g) STEP 3. The critical value (s) is Use the following chart to identify the critical value (s) Left-tailed Two-tailed Right tailed a =10% z = -1.28 (A) z = 71.65 (B) z =1.28 (C) a =5% z = -1.65 (D) z = 71.96 (E) z = -1.65 (F) a =1% z = -2.33 (G) z = 72.58 (H) z = -2.33 (1) The critical value (s) is/are (Enter a letter A through I)

The National Weather Service says that the mean daily high temperature for October in a large mid-western city is 56°F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean is actually lower than 56°F. A sample of mean daily high temperatures for October over the past 37 years yields a sample mean of 54° F. Assume that the population standard deviation is 5.6° F. Perform the hypothesis test at the 1% significance level. STEP 1. Ho: H O H1:H NOTE: For enter/= STEP 2. This test is (e) left-tailed, (f) two-tailed or (g) right-tailed test. This test is (enter e, f or g) STEP 3. The critical value (s) is Use the following chart to identify the critical value (s) Left-tailed Two-tailed Right tailed a =10% z = -1.28 (A) z = 71.65 (B) z =1.28 (C) a =5% z = -1.65 (D) z = 71.96 (E) z = -1.65 (F) a =1% z = -2.33 (G) z = 72.58 (H) z = -2.33 (1) The critical value (s) is/are (Enter a letter A through I)

Name: The National Weather Service says that the mean daily high temperatur
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: The National Weather Service says that the mean daily high temperature for October in a large mid-western city is56°F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test todetermine whether the me

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

Similar questions

What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. z O B. z > OC z< (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Vthe wind speed in Region B. V the researcher's claim that the wind speed in Region A is H. There enough evidence at the 5% level of significance to
It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is not 98.6° F. You collected data using 53 healthy people and found that they had a mean body temperature of 98.33° F with a standard deviation of 0.93 ° F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6° F. a) Identify the null and alternative hypotheses? Họ: ? H1: ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.
Ann recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 120 millimeters of mercury ( mmHg ). Ann believes the value is actually higher. She bases her belief on a recently reported study of 10 randomly selected, elderly females. The sample mean systolic blood pressure was 128 mmHg , and the sample standard deviation was 25 mmHg . Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.10 level of significance, can it be concluded that μ , the population mean systolic blood pressure among elderly females, is greater than 120 mmHg ? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the…
An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. C. The wind speed in Region A is not less than the wind speed in Region B. D. The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha. Ho: H1 2 H2 Ha: 1 В. z C. z< - 1.645 (c) Find the standardized test statistic z. (Round to two decimal places as needed.)
Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a standard deviation of 0.33 kg. After years of marked oxygen depletion from pollutants in the creek, a biologist wants to see if the standard deviation, o, of weights has changed. The biologist measures the weights of 20 randomly chosen mature rainbow trout from the creek and finds that the sample standard deviation is 0.38 kg. Assume the current weights of mature rainbow trout in the creek follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o, differs from 0.33 kg? To answer, complete the parts below to perform a hypothesis test. Use the 0.10 level of significance.
A car company claims that its new SUV gets better gas mileage than its competitor's SUV. A random sample of 49 of its SUVs has a mean gas mileage of 17.1 miles per gallon (mpg). The population standard deviation is known to be 1.3 mpg. A random sample of 33 competitor's SUVS has a mean gas mileage of 16.3 mpg. The population standard deviation for the competitor is known to be 1.6 mpg. Test the company's claim at the 0.05 level of significance. Let the car company be Population 1 and let the competitor be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
Two estimates are available for the same population parameter. Estimate one has a standard deviation of 8.5 and estimate two has a standard deviation of 8.7. Estimate two is unbiased, whereas estimate one is biased. Which estimate would you choose and why?
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.2 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 5.3 pounds/square inch. Assume the standard deviation is known to be 0.7. A level of significance of 0.01 will be used. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.
Historically, the mean age of all Memphis residents has been 40 years. You believe this has changed. You take a random sample of 130 Memphis residents and find that their mean age is 36 years with a standard deviation of 17 years. Can you conclude that the mean age of all Memphis residents has changed from 40 years. For the hypothesis testing scenario above, compute the test statistic. For the hypothesis testing scenario above, you conclude that the mean age of all Memphis residents has changed from 40 years at the 0.05 significance level. Compute the 95% confidence interval to estimate the mean age of all Memphis residents.
A car company claims that its new SUV gets better gas mileage than its competitor's SUV. A random sample of 41 of its SUVs has a mean gas mileage of 15.2 miles per gallon (mpg). The population standard deviation is known to be 1.4 mpg. A random sample of 49 competitor's SUVs has a mean gas mileage of 14.8 mpg. The population standard deviation for the competitor is known to be 0.9 mpg. Test the company's claim at the 0.02 level of significance. Let the car company's SUVs be Population 1 and let the competitor's SUVs be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho:μ₁ = μ₂ Ha : M 1₂