Consider the following hypothesis test: H0: ? ≥ 30 Ha: ? < 30 A sample of 64 provides a sample mean of 27 and a sample standard deviation of 8. (a) Determine the standard error of the mean. (b) Compute the value of the test statistic.

Consider the following hypothesis test: H0: ? ≥ 30 Ha: ? < 30 A sample of 64 provides a sample mean of 27 and a sample standard deviation of 8. (a) Determine the standard error of the mean. (b) Compute the value of the test statistic.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: You may need to use the appropriate technology to answer this question. Consider the following…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: Suppose ?X is normally distributed with ?=μ= 122 and unknown ?σ. A sample of 26 observations yields…

A: We have given that, X is normally distributed woth hypothesized mean (Mu) = 122 and standard…

Q: A doctor compares three treatments for arthritis. He uses three samples, each of size six, in the…

A: We have given that Three treatment and each treatment having six size .

Q: eople spend an average of $12 on entertainment. You believe that for people who live in Arizona,…

Q: A textile fiber manufacturer is investigating a new drapery yam, which the company claims has a mean…

A: We have given that Sample size n =4 Population standard =12 Population standard deviation =0.5

Q: A random sampling of a restaurant's monthly expenses produced a sample mean of $5000 and a standard…

A: We have given the following: Sample Mean = 5000 Standard deviation = 500

Q: The null and alternate hypotheses are: He: ₁ = ₂ H₂=₁ #₂ A random sample of 10 observations from one…

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

A: Given: n1=11n2=59s1=0.89s2=0.63x¯1=97.76x¯2=97.32σ=0.01

Q: Use a hypothesis test to test the given claim. A test of sobriety involves measuring the subject's…

A: Given,sample size(n)=20sample mean(x¯)=41.0standard deviation(s)=3.4α=0.01 degrees of…

Q: 5. eBook Video Video Video Video Consider the following hypothesis test: Но: и %3D 16 Ha: H+ 16 A…

A: 5 Hi thanks for the question. “Since you have posted a question with multiple sub-parts, we will…

Q: You work in admissions for an Intensive English Program. The program claims that its students score…

A: Given: No. Of students =26 Mean score=83.9 Standard deviation =20 Note :As per guidelines of…

Q: Past experience indicates that the time required for high school seniors to complete a standardized…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: The mean number of eggs per person eaten in the United States is 253. Do college students eat more…

A: Sample sizes n= 64 Sample means X̄= 264 Sample standard deviation = 50.3

Q: 1. The sample of 24 batteries a consumer watchdog organization tested ran for a mean of 47 hours…

A: given data n =24x¯ =47s = 3claim : μ ≠ 50

Q: Cigarette Problem A random sample of 47 filtered cigarettes is obtained and the tar content of each…

Q: a. State the null and alternative hypothesis

A: 2. a. Let μ denotes the population mean annual per capita consumption of milk. The annual per capita…

Q: Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. A representative…

Q: You have a random sample of 49 values with a sample mean of 8.5 and a sample standard deviation of…

A: a. Determine if it is appropriate to use a Student's t distribution and explain why. Calculate the…

Q: A random sample of 100 students is taken from a larger population of students in a multi-lecture…

A: R command has used.

Q: The average number of accidents at controlled intersections per year is 4. Is this average a…

A: The random variable is number of accidents.We have to test whether the population mean number of…

Q: Perform the following hypothesis test: HO: µ = 6 H1: µ 6 The sample mean is 5.8, sample standard…

Q: 1. A local sandwich shop claims to put 6 ounces of meat on each sandwich the You take a random…

A: Denote μ as the true average amount of meat on each sandwich.

Q: Find a 95% confidence interval for the variance when a random sample of size 10 is taken from a…

A: From the given information, the sample size is 10 and the sample variance is 16.00. Given that the…

Q: Need the answer to question 1.

A: From the given information,For two-bedroom apartments,Sample mean =$636, population standard…

Q: ty 4 wer the problems by following the steps of hypothesis testing. Show your ete solution. A local…

A: Given : sample mean = x = 7.93 sample size = n = 70 standard deviation = σ = 2.75 Population mean =…

Q: A psychologist uses two tests to assess clients on the same psychological construct. Both tests have…

A: Given

Q: One-tailed O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) Step 3:…

Q: Suppose the mean IQ score of people in a certain country is 101. Suppose the director of a college…

Q: I. A study reports that teenagers spend 27 hours a week online (www.telegraph.co.uk). A researcher…

A: T distribution for single mean.

Q: In a simple random sample of size 35, a study was conducted to test their mean height. The mean…

A: Given Mean(x)=66.8standard deviation(σ)=2.4sample size(n)=35significance level(α)=0.05claim is that…

Q: We want to test hypotheses concerning the population mean. The following data is given:…

A: Given: n= 15.0 ,x̄= 82.0 ,σ= 5.2 µ= 85.0 ,significance level(∝)= 0.05 define hypothesis;- Null…

Q: Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in…

A: The t-test is used to understand the mean significance between the variables. It is used when the…

Q: Suppose you are interested in testing whether average monthly gasoline expenditure differs from $50…

A: Given information- Population mean, μ = $50 Sample size, n = 30 Sample mean, x-bar = $51 Sample…

Q: Perform the following hypothesis test: HO: µ = 10 H1: µ 10 The sample mean is 9.55, population…

A: Given that, μ=10x¯=9.55σ=1.5n=51α=0.05

Q: Test the claim that the mean GPA of night students is significantly different than the mean GPA of…

A: Given data: Let data about the night students are considered as population 1 and the data about the…

Q: Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in…

Q: Provide your answer below: Critical value(s) = ___ and ____

A: The given test is a left tailed test.The level of significance is 5%.That is, α = 0.05.For one…

Q: Consider the following hypothesis test: Ho: 4220 Ha: <20 A sample of 40 provided a sample mean of…

A: Sample mean=19.4 Sample size=40 Population standard deviations=2 Alpha=0.05

Q: A century ago, the average height of adult women in the United States was 63 inches. Researchers…

A: Given ,population mean (μ)=63Sample size (n)=40Sample mean (X¯)=64.2Standard deviation (s)=2.9

Q: You may need to use the appropriate technology to answer this question. Consider the following…

A: (a)

Q: The average number of accidents at controlled intersections per year is 4. Is this average a…

A: Given that:a) Hypothesiszed population meanμ0=4Sample mean x¯=4.5Sample standard deviation s =…

Q: Find the mean: You are given the following hypotheses: Ho: μ-60 HA: μ< 60 We know that the sample…

A: Given: H0:μ=60HA:μ<60 s=10 n=20 P-value=0.05 It is a left-tailed test.

Question

Consider the following hypothesis test:

H₀: ?	≥	30
H_a: ?	<	30

A sample of 64 provides a sample mean of 27 and a sample standard deviation of 8.

(a)

Determine the standard error of the mean.

(b)

Compute the value of the test statistic.

(c)

Determine the p-value; and at a 5% level of significance, test the above hypotheses.

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude ? is less than 30.Do not reject H₀. There is insufficient evidence to conclude ? is less than 30. Do not reject H₀. There is sufficient evidence to conclude ? is less than 30.Reject H₀. There is insufficient evidence to conclude ? is less than 30.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given that

VIEW

Step 2: Calculation

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

C. Compute the test value D. Make a decision
1J,000 Source: Chronicle of Higher Education. 17. Medical Operations The director of a medical hospital feels that her surgeons perform fewer operations per year than the national average of 211. She selected a random sample of 15 surgeons and found that the mean number of operations they performed was 208.8. The standard deviation of the sample was 3.8. Is there enough evidence to support the director's feelings at a= 0.10? Would the null hypothesis be rejected at a = 0.01? 18. Cell Phone Call Lengths The average local cell phone call length was reported to be 2.27 minutes. A random sample of 20 phone calls showed an average of 2.98 minutes in length with a standard deviation of 0.98 minute. At a = 0.05, can it be concluded that the average differs from the population average? %3D World Almanac.
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. a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? A. Ho: M₁ = ₂ H₁: H₁ H₂ C. Ho: M₁ = H2 H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) B. Ho: H₁ H₂ H₁ H₁
Suppose you are interested in testing whether average monthly gasoline expenditure differs from $50 at the 5% significance level. You take a sample of 30 and calculate a sample mean of 51 and sample standard deviation of 12. Given this information the null and alternative hypotheses are as follows: H0: μ=50 H1: μ≠50 What is the conclusion of this test?
State the null and alternative hypotheses for the statistical test described below. Testing to see if there is evidence that a proportion is greater than 0.3. :: µ2 :: p : P1 :: P2 :: 0.3 :: x1 :: :: x2 :: P1 : P2 el :: Ho: i vs Ha: :: ::
Suppose you are interested in testing whether average monthly gasoline expenditure differs from $50 at the 5% significance level. You take a sample of 30 and calculate a sample mean of 51 and sample standard deviation of 12. Given this information the null and alternative hypotheses are as follows: H0: μ=50 H1: μ≠50 What is the p-value for this test? (Round to four decimal places. )
Need help on the last two
2. Average Senior High School annual cost of tuition fee for all private schools last yearwas Php43,700. A random sample of costs this year for 45 private schools indicatedthat the sample mean was Php45,800 and a sample standard deviation was Php5,600.At 0.01 level of significance, is there sufficient evidence to conclude that the costincreased?Solution:Step 1: State the hypothesis.?0: _____________________________________________________________?1: _____________________________________________________________Step 2: The level of significance and critical region.? = ________ and the ????????? = __________Step 3: Compute for the value of one sample t test. ????????? = _______Step 4: Decision Rule.___________________________________________________________________________________________________.Step 5: Conclusion:____________________________________________________________________________________________________________________________________________________________________________.3.…
a. State the null and alternative hypothesis.
In a test of hypothesis, the null hypothesis is that the population mean is equal to 90 and the alternative hypothesis is that the population mean is not equal to 90. A sample of 16 elements selected from this population produced a mean of 86.75 and a standard deviation of 12.54. The significance level is 2%. a. –2.602 and 2.602 b. –2.583 and 2.583 c. –2.131 and 2.131 d. –1.341 and 1.341
Suppose that you're running the following hypothesis test with a = 0.05 : H,:u= 2.00 H:u#2.00 a. If the population standard deviation is assumed to be 1.5, and a SRS of 25 observations yielded X = 2.57, then calculate the value of the test statistic that you would use to run this test. b. Determine the P-Value for the test statistic in part (a). c. Using the P-Value you calculated in part (b) state the Decision that you make about the null hypothesis. JUSTIFY YOUR DECISION.
Scenario: Terry Teacher suspects that kindergarten class sizes in Alameda county are larger than average. According to the California Department of Education, the average kindergarten class size in California is 21.9. For a random sample of 36 Alameda County kindergarten classes, the average class size was 23 with a standard deviation of two. Run a test to assess Terry Teacher's hypothesis at the a=.05 level. Question: Given the p-value you calculated, which of the following is a correct conclusion for this test? (select all that apply) There is no support for the alternative hypothesis Because p a , we fail to reject the null hypothesis There is support for the alternative hypothesis