### Hypothesis Testing: ISP Internet Speed#### Problem Statement:A national internet service provider (ISP) claims that its broadband internet download speed is 200 megabits per second (Mbps) on average. However, due to widespread reports indicating slower download speeds, an organization decided to investigate this claim. They collected a random sample of 18 internet speed observations from around the nation. The observations are as follows:#### Observations:```169, 168, 176, 179, 175, 178, 169, 182, 185213, 213, 198, 167, 169, 220, 162, 174, 192```#### Task:Using an alpha level (α) of 0.01, test the hypothesis that the average download speed is 200 Mbps, as advertised by the ISP. Assume that the distribution of all broadband internet download speed measurements from this ISP is approximately normally distributed. Use the critical value method.#### Steps:1. **State the Null and Alternative Hypothesis:** - Null Hypothesis ($ H_0 $): \[ H_0: \mu = 200 \, \text{Mbps} \] - Alternative Hypothesis ($ H_1 $): \[ H_1: \mu \neq 200 \, \text{Mbps} \]2. **Determine Tail Type:** Select whether the test is left-tailed, right-tailed, or two-tailed: - Left-tailed - Two-tailed - Right-tailed Given that we are testing whether the mean is not equal to 200 Mbps, this test will be a **two-tailed test**.3. **Choosing the Distribution:** - Should the standard normal ($ z $) distribution or Student’s ($ t $) distribution be used for this test? Since the sample size is small (n = 18) and the population standard deviation is unknown, the **Student's $ t $-distribution** should be used for this test.#### Detailed Explanation:In hypothesis testing, we compare our sample data to what we would expect if the null hypothesis were true. We use a significance level of α = 0.01, indicating a 1% risk of concluding that a difference exists when there is no actual difference. Because we are using the sample mean and the sample **Hypothesis Testing in Statistics**1. **Choosing the Distribution:** - **Question:** Should the standard normal (z) distribution or Student's (t) distribution be used for this test? - ○ The standard normal (z) distribution should be used. - ○ The Student's t distribution should be used.2. **Determining Critical Values:** - **Instruction:** Determine the critical value(s) for this hypothesis test. Round the solution(s) to four decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. - [ _____ ]3. **Calculating the Test Statistic:** - **Instruction:** Determine the test statistic. Round the solution to four decimal places. - [ _____ ]4. **Drawing Conclusions:** - **Instruction:** Determine the appropriate conclusion for this hypothesis test. - ○ The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean download speed from this ISP is less than 200 and thus we conclude that the mean download speed from this ISP is likely less than 200 Mbps on average. - ○ The sample data do not provide sufficient evidence to reject the null hypothesis that the mean download speed from this ISP is 200 Mbps and thus we conclude that it is likely the average download speed from this ISP is 200 Mbps, as advertised. - ○ The sample data provide sufficient evidence to reject the null hypothesis that the mean download speed from this ISP is 200 Mbps and thus we conclude that it is likely the true average download speed from this ISP is less than advertised. - ○ The sample data provide sufficient evidence to reject the alternative hypothesis that the mean download speed from this ISP is less than 200 and thus we conclude that the mean download speed from this ISP is likely 200 Mbps on average. **Explanation of Graphs and Diagrams:**There are no graphs or diagrams included in the provided text.

The question is about hypo. testing for a popl. mean Given : Popl. mean of broadband internet…

Answered: A national internet service provider…

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

You may need to use the appropriate appendix table or technology to answer this question. In a study entitled How Undergraduate Students Use Credit Cards, it was reported that undergraduate students have a mean credit card balance of $3,173. This figure was an all-time high and had increased 44% over the previous five years. Assume that a current study is being conducted to determine if it can be concluded that the mean credit card balance for undergraduate students has continued to increase compared to the original report. Based on previous studies, use a population standard deviation ? = $1,000. (a) State the null and alternative hypotheses. H0: ? < 3,173 Ha: ? ≥ 3,173 H0: ? = 3,173 Ha: ? ≠ 3,173 H0: ? > 3,173 Ha: ? ≤ 3,173 H0: ? ≥ 3,173 Ha: ? < 3,173 H0: ? ≤ 3,173 Ha: ? > 3,173 (b) What is the test statistic for a sample of 170 undergraduate students with a sample mean credit card balance of $3,305? (Round your answer to two decimal places.) What is…
A group of 320 male students from the local high school have a mean mass of 70.41 kg. Records of similar students countrywide show a mean mass of 70.0 kg. A researcher wishes to determine whether the local students differ from the national group. what would be the research problem?
Section 3.1, question 3
A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill? LOADING... Click the icon to view the data table of the riding times. Question content area bottom Part 1 Determine the null and alternative hypotheses. H0: ▼ mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 mu 1 not equals mu 2 not equals mu 3μ1≠μ2≠μ3 Exactly two of the population means are different from each other.Exactly two of the population means are different from each other. At least one of the three population means is different from the others.At least one of the three population means is different from the others. mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 H1: ▼ mu 1 greater than mu 2…
Several methods of estimating the number of seeds in soil samples have been developed by ecologists. An article gave the accompanying data on the number of seeds detected by the direct method and by the stratified method for 27 soil specimens. Specimen Direct Stratified 1 21 6 2 32 38 3 0 6 4 60 58 5 20 52 6 61 61 7 40 26 8 6 6 9 12 6 10 92 100 11 1 0 12 66 58 13 78 66 14 21 52 Specimen Direct Stratified 15 32 26 16 0 0 17 38 38 18 18 12 19 92 92 20 1 12 21 40 46 22 21 21 23 0 0 24 6 12 25 12 40 26 18 12 27 40 78 Do the data provide sufficient evidence to conclude that the mean number of seeds detected differs for the two methods? Test the relevant hypotheses using ? = 0.05. (Use ?direct − ?stratified.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four…
In 1998, as an advertising campaign, the Nabisco Company announced a "1000 Chips Challenge," claiming that every 18-ounce bag of their Chips Ahoy! cookies contained at least 1000 chocolate chips. Dedicated statistics students at the Air Force Academy (no kidding) purchased some randomly selected bags of cookies and counted the chocolate chips. Some of their data are given below. Complete parts (a) through (c) below. 1270 1244 a) Check the assumptions and conditions for inference. Check the data for independence. Choose the correct answer below. A. 0+ 900 1356 1132 Chips 1600 OA. The sample is less than 10% of the population, so one can assume that the data are independent. B. The data are from a random sample, so one can assume that they are independent. OC. The data are from a random sample, so one can assume that they are not independent. OD. The sample is less than 10% of the population, so one can assume that the data are not independent. Construct a histogram of the data. Choose…
Given the following list of data, what is the five-number summary?110, 111, 140, 190, 199, 204, 238, 270, 279, 310, 320 Select the correct answer below: Min Q1 Median Q3 Max 100 140 204 279 350 Min Q1 Median Q3 Max 110 111 204 279 300 Min Q1 Median Q3 Max 110 140 204 279 320
The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season (NFL website). Team Yds/Att WinPct 5.7 26 Arizona Cardinals Atlanta Falcons Carolina Panthers 7.6 67 7.3 52 6.9 51 Chicago Bears Dallas Cowboys 5.1 17 8.6 82 New England Patriots Philadelphia Eagles Seattle Seahawks 5.3 21 6.6 41 St. Louis Rams 6.5 41 Tampa Bay Buccaneers. 6.1 38 a. Choose the correct a scatter diagram with the number of passing yards per attempt on the horizontal axis and the percentage of games won on the vertical axis. B. A. WinPct WinPct 80 DD J F1 70- 60- 50+ -40- 30 20- F2 80 F3 000 000 F4 F5 80- -70 60- 50- 40- 30- 20- S F6 ● - F7 DII F8 F9 F10 () F11 <))) F12 A
According to the NIMH website the average number of adult Americans diagnosed with a “serious mental illness” across all 50 states in 2019 was μ = 5.2 out of 100 residents (or 5.2%). Please test to see if the sample of states listed below (n=8) has a significantly higher level of mental illness than the population mean of 5.2. Sample data: Arkansas= 5.45%, Montana=5.34%, Vermont=5.32%, Oregon=5.19%, Utah=5.2%, Ohio=5.13, Kentucky=5.25% West Virginia=5.18%. Hint - drop the % signs and use 5.45, 5.32, etc as the X scores. If you want you can use JASP for help with the calculations. Use 3 decimal places for the M, s, SEM. The alpha level for the study was set to α=.05. a. State the hypotheses of the study. b. Find the critical t value for this studyc. Compute the one-sample t test. d. Compute the Cohen's d for the data (even if not significant) e. State the results - is the sample significantly higher? Do you reject the null hypothesis? Report the t test results in APA format…
Consider the sample of 65 customer satisfaction ratings given in the table (below). 39 46 42 40 45 44 44 44 45 45 44 46 46 46 41 46 46 38 40 40 41 43 38 48 39 42 39 47 43 47 43 44 41 42 40 44 39 43 36 41 44 41 42 43 43 41 44 45 42 38 45 45 46 40 44 44 47 42 44 45 45 43 45 44 43 Click here for the Excel Data File Carry out a chi-square goodness-of-fit test of normality for the population of all customer satisfaction ratings using α = .05. Recall that we previously calculated x⎯⎯x¯ = 42.95 and s = 2.6424 for the 65 ratings. Use the Empirical Rule to create the intervals. (Round your expected frequencies to 2 decimal places. Round your answer to 3 decimal places.)
The National Highway traffic Safety Administration requires each U.S. state to carry out an observational study to assess the level of seat belt use in the state. One report summarized data from a study done in a certain state. The proportions in the accompanying table are based on observations of over 25,000 drivers and passengers. Male Female Uses Seatbelt Does Not Use Seat Belt 0.42 0.455 0.08 0.045 Assume that these proportions are representative of adults in this state and that an adult from this state is selected at random. (a) What is the probability that the selected adult does not use a seat belt given that the selected individual is female? (b) What is the probability that the selected individual is female given that the selected individual does not use a seat belt? (c) Are the probabilities from parts (a) and (b) equal? Write a couple of sentences explaining why or why not. They --Select--- ✓ equal. Part (a) is the proportion of [---Select--- ---Select--- and part (b) is the…

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS