Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.76 million households with a sample standard deviation of 0.55 million family units. Over the same 12 months Spotify was used by an average of 2.27 million families with a sample standard deviation of 0.29 million. Assume the population standard deviations are not the same. Using a significance level of 0.02, test the hypothesis of no difference in the mean number of households picking either service. a. What are the null and alternate hypotheses? Ho: HApple= HSpotify Hh: HApple# HSpotify Ho: HApple+ HSpotify Hh: HApple=HSpotify O Ho: HApple> HSpotify Hh: HApple+ µSpotify b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Test statistic

Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.76 million households with a sample standard deviation of 0.55 million family units. Over the same 12 months Spotify was used by an average of 2.27 million families with a sample standard deviation of 0.29 million. Assume the population standard deviations are not the same. Using a significance level of 0.02, test the hypothesis of no difference in the mean number of households picking either service. a. What are the null and alternate hypotheses? Ho: HApple= HSpotify Hh: HApple# HSpotify Ho: HApple+ HSpotify Hh: HApple=HSpotify O Ho: HApple> HSpotify Hh: HApple+ µSpotify b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Test statistic

Name: Music streaming services are the most popular way to listen to music.
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music wasused by an average of 1.76 million households with a sample standard deviation of 0.55 million family units. Over the sam

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

A hiring manager rates a large pool of job applicants for eligibility for a job vacancy. The ratings are normally distributed with a mean of 100 and a standard deviation of 15. Find the rating score that separates the top 10% with the rest. Round to the closest integer.
The combined math and verbal scores for females taking the SAT-I test are normally distributed with a mean of 998 and a standard deviation of 202 (based on date from the College Board). If a college includes a minimum score of 1100 among its requirements, what PERCENTAGE of females do not satisfy that requirement? Write your answer as a percent! Use Excel to obtain more accuracy.
A banker finds that the number of times people use automated-teller machines (ATMs) in a year are normally distributed with a mean of 40.0 and a standard deviation of 11.4 (based on data from Maritz Marketing Research, Inc.). Find the proportion of customers who use ATMs between 20 and 50 times. Use four decimal places for your answer.
A manufacturer claims that the mean lifetime of its lithium batteries is 1400 hours. A homeowner selects 35 of these batteries and fınds the mean lifetime to be 1370 hours with a standard deviation of 70 hours. Test the manufacturer's claim. Use a = =0.05. Test Statistic Round to thousandths place. %3D P-Value = Round to thousandths place. Decision: Write 'Reject' or 'Fail to Reject'
Average adult Americans are about one inch taller but nearly a whopping 25 pounds heavier than they were in 1960, according to a report from the Centers for Disease Control and Prevention (CDC). City A is considered one of America's healthiest cities. Is the weight gain since 1960 similar in city A? A sample of n=25 adults suggested a mean increase of 22 pounds with a standard deviation of 9.4 pounds. Is City A significantly different in terms of weight gain since 1960? Complete and interpret 5 step hypothesis testing by hand at a 5% level of significance using a Z-test. Show each step and your work.
Entrance exam scores at Cititon University are normally distributed with a mean of 552 and a standard deviation of 29. If scholarships are awarded to the top 10% of scores, what is the minimum score needed to guarantee a scholarship?
Assume that the heights of women are normally distributed with a mean of 62.4 inches and a standard deviation of 1.6 inches. Find Q3 the third quartile that separates the bottom 75% from the top 25%
An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines, "The students in this town don't have the necessary skills. The overall student population is less than what is reported at the state level" The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points. a. State the null (H0) and alternative (Ha) hypotheses. b. Give the standard score for the data. c. Find the P-value for this significance test. e. Sketch your results on the standard Normal distribution f. Summarize the conclusion in the context of this problem.
Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is $117.91 per square foot. A random sample of 42 new homes indicated that the mean cost was $123.87 and the standard deviation was $15. Can it be concluded that the mean cost differs from $117.91, using the 0.05 level of significance? Use the P-value method. Use a graphing calculator. Find the P-value. Round the answer to at least four decimal places. P-value=
Researchers wants to determine if low-fat diets or low-carb diets are more effective for weight loss. Suppose 100 people were placed on a low-fat diet and at the end of 3 months the mean weight loss was 10.5 lbs witha standard deviation of 12.5 lbs. There were another 100 people placed on a low-carb diet and at the end of 3 months the mean weight loss was 16.5 lbs with a standard deviation of 10.2 lbs. Does mean weight lossdiffer between the two diets? What are the hypotheses??
Dentists believe that a diet low in sugary foods can reduce the number of cavities in children. Ten children whose diets are believed to be high in sugar are examined and the mean number of cavities is 3.63.6 with a standard deviation of 1.31.3. Twenty children whose diets are believed to be low in sugar are examined and the mean number of cavities is 1.01.0 with a standard deviation of 0.30.3. Construct a 99%99% confidence interval for the true difference between the mean numbers of cavities for children whose diets are high in sugar and those whose diets are low in sugar. Assume that the variances of the two populations are the same. Let Population 1 be children whose diets are believed to be high in sugar and Population 2 be children whose diets are believed to be low in sugar. Round the endpoints of the interval to one decimal place, if necessary.