Consider the following hypothesis test.Ho: 2 8008 > 1 :ºHA sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01.(a) x = 78.5Find the value of the test statistic.Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.O Reject Ho. There is sufficient evidence to conclude that u < 80.O Do not reject H. There is sufficient evidence to conclude that u < 8o.O Do not reject Ho. There is insufficient evidence to conclude that u < 80.O Reject Ho.There is insufficient evidence to conclude that µ < 80. (b) x = 77Find the value of the test statistic.Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.O Reject Ho. There is sufficient evidence to conclude that u < 80.O Do not reject Ho. There is sufficient evidence to conclude that u < 80.O Do not reject H. There is insufficient evidence to conclude that µ < 80.O Reject H: There is insufficient evidence to conclude that u < 80.(c) x = 75.5Find the value of the test statistic.Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.O Reject H., There is sufficient evidence to conclude that u < 80.O Do not reject Ho. There is sufficient evidence to conclude that µ < 80.O Do not reject Ho. There is insufficient evidence to conclude that ji < 80.O Reject Ho, There is insufficient evidence to conclude that u < 80.

Name: Consider the following hypothesis test.Ho: 2 8008 > 1 :ºHA sample of
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Consider the following hypothesis test.Ho: 2 8008 > 1 :ºHA sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01.(a) x = 78.5Find the v

Given, Sytandard deviation = 12 alpha = 0.01

Math

Statistics

onsider the following hypothesis test. Ho: 2 80 H:H< 80 sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conc a) x = 78.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value %3D State your conclusion. O Reject Ho. There is sufficient evidence to conclude that u < 80. O Do not reject H. There is sufficient evidence to conclude that u < 80. O Do not reject Ho. There is insufficient evidence to conclude that u < 80. Reject H. There is insufficient evidence to conclude that u < 80.

onsider the following hypothesis test. Ho: 2 80 H:H< 80 sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conc a) x = 78.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value %3D State your conclusion. O Reject Ho. There is sufficient evidence to conclude that u < 80. O Do not reject H. There is sufficient evidence to conclude that u < 80. O Do not reject Ho. There is insufficient evidence to conclude that u < 80. Reject H. There is insufficient evidence to conclude that u < 80.

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: You'd like to test the null hypothesis that the means of the two samples (column A and column B) are…

A: There are two independent samples which are X1 and X2. We have to test whether the means of the two…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the population…

A: given data 95% confidence interval margin of eeror(E) = 4σ = 17n = ?

Q: A null hypothesis for a goodness-of-fit test and a frequency table from a sample are given. H0:…

Q: A popular heory is that presidential candidates have an advantage if they are taller than their main…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: You'd like to test the null hypothesis that the means of the two samples (column A and column B) are…

A: Null Hypothesis: H0: The means of the two samples (column A and column B) are the same. Alternative…

Q: You'd like to test the null hypothesis that the means of the two samples (column A and column B) are…

A: There are two independent samples which are X1 and X2. We have to test whether the means of the two…

Q: A hypothesis test produces at statistic of t= 2.20. If the researcher is using a two-tailed test…

Q: 3. Ho: Pa p. Họ: Ha

Q: Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random…

A: given data n = 142x¯ =70.4s = 10.6claim : μ =69

Q: Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69.4 bpm. For a random…

Q: You'd like to test the null hypothesis that the means of the two samples (column A and column B) are…

Q: Test the claim about the population mean u at the level of significance a. Assume the population is…

Q: Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the…

A: Diet Regular μ μ1 μ2 n 38 38 x¯ 0.78785 lb 0.80683 lb s 0.00431 0.00754 lb Significance…

Q: Determine whether the claim stated below represents the null hypothesis or the alternative…

A: Given: A manufacturer claims that the population standard deviation is at least 3.7 miles per…

Q: You'd like to test the null hypothesis that the means of the two samples (column A and column B) are…

A: There are two independent samples which are X1 and X2. We have to test whether the means of the two…

Q: a. Express the original claim in symbolic form. V bpm (Type an integer or a decimal. Do not round.)…

Q: Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random…

Q: Men Women A study was done on body temperatures of men and women. The results are shown in the…

A: Given Information:

Q: A study was done on proctored and nonproctored tests. The results are shown in the table. Assume…

A: (B) (b) Obtain the 95% confidence interval for the difference between two means. The 95%…

Q: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample…

A: As the population standard deviation is not known, we will use a t-test. The value of the test…

Q: Men Women A study was done on body temperatures of men and women. The results are shown in the…

Q: O B. Ho: H1 H2 O A. Ho: H1242 D. Ho: H1 2 H: H > P2 OC. Ho: 1 =42 H: 1 42 The test statistic, t, is…

A: Given Data : For Sample 1 x̄1 = 97.77 s1 = 0.83 n1 = 11 For Sample 2…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

Q: You'd like to test the null hypothesis that the means of the two samples (column A and column B) are…

Q: A null hypothesis states that p%=.3, the observed sample proportion is p=.41 with a sample size of…

Q: Men Women H2 59 97.27 F 0.72 F A study was done on body temperatures of men and women. The results…

A: Claim:

Q: Men Women A study was done on body temperatures of men and women. The results are shown in the…

A: The test statistics is t=x1-x2-(μ1-μ2)s12n1+s22n2=97.54-97.25-00.94211+0.62259=0.8822814≈0.88

Q: 34% of working mothers do not have enough money to cover their health insurance deductibles. You…

A: Let X = The number of working mothers who do not have enough money to cover their health insurance…

Q: Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random…

A: Given, Sample size = 149 Sample mean = 70.1 Sample standard deviation = 11.5 Population mean = 69…

Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain…

Q: Men Women A study was done on body temperatures of men and women. The results are shown in the…

Q: Assume we are given the below details to test if population A has a larger variance than population…

A: A hypothesis F test can be used to compare the variance of two population means. If the alternate…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.9 and a standard…

A: normal distribution, μ=104.9σ=21.5 first quartile for the given data=?

Topic Video

Question

Consider the following hypothesis test.
Ho: 2 80
08 > 1 :ºH
A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01.
(a) x = 78.5
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that u < 80.
O Do not reject H. There is sufficient evidence to conclude that u < 8o.
O Do not reject Ho. There is insufficient evidence to conclude that u < 80.
O Reject Ho.
There is insufficient evidence to conclude that µ < 80.

(b) x = 77
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that u < 80.
O Do not reject Ho. There is sufficient evidence to conclude that u < 80.
O Do not reject H. There is insufficient evidence to conclude that µ < 80.
O Reject H: There is insufficient evidence to conclude that u < 80.
(c) x = 75.5
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject H., There is sufficient evidence to conclude that u < 80.
O Do not reject Ho. There is sufficient evidence to conclude that µ < 80.
O Do not reject Ho. There is insufficient evidence to conclude that ji < 80.
O Reject Ho, There is insufficient evidence to conclude that u < 80.

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 with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

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

The test statistic is _______________ (Round to two decimal places as needed.) The P-value is ______________________ (Round to three decimal places as needed.) State the conclusion for the test. a. Reject the null hypothesis.There is sufficient evidence to support the claim that mean of weight of the 1988 population is less than the mean weight of the 2012 population. b. Reject the null hypothesis.There is not sufficient evidence to support the claim that mean of weight of the 1988 population is less than the mean weight of the 2012 population. c. Fail to reject the null hypothesis.There is sufficient evidence to support the claim that mean of weight of the 1988 population is less than the mean weight of the 2012 population. d. Fail to reject the null hypothesis.There is not sufficient evidence to support the claim that mean of weight of the 1988 population is less than the mean weight of the 2012 population. b. Construct a confidence interval appropriate for the…
Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = What is the correct result based on the data?
Claim: The mean pulse rate (in beats per minute) of adult males is equal to 68.9 bpm. For a random sample of 158 adult males, the mean pulse rate is 67.6 bpm and the standard deviation is 10.9 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. bpm (Type an integer or a decimal. Do not round.)
3
K A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. e this 2 Z a. Use a 0.05 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? OA Ho: Hy #₂ H₂: Hy H₂ F2 淋 X command дв 3 80 F3 E D с $ 4 R F % 5 V T G 6 B MacBook Air Y H & 7 N F7 U J * 8 M OB. Ho: ₁2₂ H₁: Hy t : - ; H n X S option Clear all F11 { [ Men H₁ 11 97.64°F 0.77 F ? 1 + = 11 I Check answer 4) F12 Women H₂ 59 97.45°F 0.63°F } ] delete ▼ return shift drew
2448 You'd like to test the null hypothesis that the means of the two samples (column A and column B) are the same. The alternative hypothesis is that they are not the same. You have no reason to believe that the standard deviations of the two samples are equal. Test at the alpha = 0.10 level. After using Excel, what do you conclude? Are the means the same? Group of answer choices You cannot reject the null hypothesis. Therefore, you conclude that the means of the two populations are different. You reject the null hypothesis. Therefore, you conclude that the means of the two populations are the same. You reject the null hypothesis. Therefore, you conclude that the means of the two populations are different. You cannot reject the null hypothesis. Therefore, you conclude that the means of the two populations are the same. X1 X2 102.04 96.13 100.47 97.63 103.17 95.42 95.09 104.41 103.81 102.08 95.36 103.33 103.38 112.25 100.26 96.93 97.24 100.19 99.61…
4736 You'd like to test the null hypothesis that the means of the two samples (column A and column B) are the same. The alternative hypothesis is that they are not the same. You have no reason to believe that the standard deviations of the two samples are equal. Test at the alpha = 0.10 level. After using Excel, what do you conclude? Are the means the same? Group of answer choices You reject the null hypothesis. Therefore, you conclude that the means of the two populations are different. You cannot reject the null hypothesis. Therefore, you conclude that the means of the two populations are the same. You reject the null hypothesis. Therefore, you conclude that the means of the two populations are the same. You cannot reject the null hypothesis. Therefore, you conclude that the means of the two populations are different. X1 X2 97.54 109.27 101.15 97.42 94.22 97.79 98.49 98.93 94.51 108.67 99.72 107.85 96.52 98.51 99.78 102.50 99.64 108.56 103.69…
4742 You'd like to test the null hypothesis that the means of the two samples (column A and column B) are the same. The alternative hypothesis is that they are not the same. You have no reason to believe that the standard deviations of the two samples are equal. Test at the alpha = 0.10 level. After using Excel, what do you conclude? Are the means the same? Group of answer choices You cannot reject the null hypothesis. Therefore, you conclude that the means of the two populations are different. You reject the null hypothesis. Therefore, you conclude that the means of the two populations are different. You cannot reject the null hypothesis. Therefore, you conclude that the means of the two populations are the same. You reject the null hypothesis. Therefore, you conclude that the means of the two populations are the same. X1 X2 98.50 101.52 102.03 100.29 100.23 104.00 101.32 97.74 101.12 100.27 100.37 96.59 100.45 101.77 103.59 104.09 99.17 97.00…
K An IQ test is designed so that the mean is 100 and the standard deviation is 19 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 5 IQ points of the true mean. Assume that o = 19 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is Would it be reasonable to sample this number of students? (Round up to the nearest integer.) OYes. This number of IQ test scores is a fairly large number. OYes. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly large number. O No. This number of IQ test scores is a fairly small number. t n
Human activity Natural patterns Don't know Male 307 174 47 Female 332 150 50 To view the chi-square distribution table view the image below Identify the null and alternative hypotheses. H0: The sex of the respondent and the choice for the cause of global warming are independent. H1: The sex of the respondent and the choice for the cause of global warming are dependent. Compute the test statistic. (Round to three decimal places as needed.) Find the critical value De we fial to reject or reject the hypothesis