**Hypothesis Testing Example: Study Hours of College Students****Objective:**Conduct a complete hypothesis test regarding the study habits of college students, specifically focusing on the number of hours spent studying per week.**Background:**For the population of college students, the number of hours spent studying per week is assumed to be normally distributed. The parameters of this distribution are:- Mean ($\mu$) = 4.40 hours- Standard deviation ($\sigma$) = 2.32 hours**Study:**We conducted a survey with a random sample of psychology students to understand their study patterns over the past week.**Data Collected:**The sample data for the number of hours these students spent studying is as follows:6, 8, 9, 4, 3, 11, 4, 6, 5, 7**Analysis:**Using the survey data, we can perform a hypothesis test to determine if there is a significant difference between the observed sample mean and the known population mean.**Hypothesis Setup:**- Null Hypothesis ($H_0$): The mean number of study hours per week for psychology students is 4.40 hours.- Alternative Hypothesis ($H_a$): The mean number of study hours per week for psychology students is not 4.40 hours.**Conclusion:**Conduct further statistical analysis to determine the p-value, confidence intervals, and draw conclusions based on the hypothesis test conducted. **Conduct a Complete Hypothesis Test**For the population of college students, the number of hours spent studying per week is normally distributed with a mean ($\mu$) of 4.40 hours and a standard deviation ($\sigma$) of 2.32 hours. We surveyed a random sample of students majoring in psychology about the number of hours they spent studying this past week. The data is as follows:6, 8, 9, 4, 3, 11, 4, 6, 5, 7

State the hypotheses. Use EXCEL Procedure for finding the value of sample mean. Follow the…

Answered: 7. Conduct a complete hypothesis test:…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1) A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she had watched television during the previous week. The summary statistics are as follows. Women Men x₁ = 12.5 x2 = 16.2 S1 = 4.0 $2 = 4.3 n₁ = 14 n2 = 17 At the 5% significance level, do the data provide sufficient evidence to conclude that the mean time spent watching television by women is less than the mean time spent watching television by men?
In a city, according to a 1990 demographic report based on the census result, the average daily spending onfood per person is $75.In 2020, a random sample of 28 persons in the same city is selected and the daily spending ($) on food foreach interviewee is recorded as follow:55.0 59.5 62.5 65.5 68.5 69.0 70.0 70.0 82.0 82.583.5 85.0 86.0 86.5 86.5 87.0 87.0 87.0 89.0 92.593.0 94.5 94.5 96.0 98.0 102.5 108.5 110.5(a) Find the point estimate for the population mean daily spending on food per person in year 2020.(b) It is assumed that the spending is normally distributed. Construct a 90% confidence interval estimatefor the population mean daily spending on food per person in year 2020.(c) Is there sufficient evidence to conclude that the population mean daily spending on food per person in2020 is higher than 1990? Test at 1% level of significance. (State clearly the null hypothesis,alternatively hypothesis, rejection region, test statistics and conclusion.)
atched Ani... 00Watch Invincible S... You can retry this question below ▼ Part 1 of 4 One study indicates that the number of televisions that American households have is distributed as in the following table. Percent of U.S. Households that Own Certain Number of TVs Number of TVs Percent of Households 0 1 2 3 4+ 0 1 2 3 4+ A random sample of 544 households in North Dakota resulted in the data in the following table. Number of TVs Reported Owned by 544 households in North Dakota Number of TVs At the 4% significance level, does it appear that the distribution "number of televisions" of households in North Dakota is different from the distribution for U.S. households as a whole? Step 1: State the null and alternative hypotheses. Number of TVs 0 Pokemon Jigglypu... Number of Households Ho: The distribution of the number of televisions in households in North Dakota matches the distribution of households in United States as a whole. ✓ 1 H₂: The distribution of the number of televisions in…
Homser Lake, Oregon, has an Atlantic salmon catch-and-release program that has been very successful. The average fisherman's catch has been ? = 9.0 Atlantic salmon per day. Suppose that a new quota system restricting the number of fishermen has been put into effect this season. A random sample of fishermen gave the following catches per day:12 6 11 12 5 0 27 8 7 6 3 12 12 I need help with (b) and the value of the sample test statistic
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The Wisconsin Fish and Game Department stocked a lake with 30% catfish, 15 % bass, 40% bluegill, and 15% Northern Pike. Five years later they took a random sample of 500 fish from the lake and found 120 catfish, 85 bass, 220 bluegill, and 75 Northern Pike. At the 5% level of significance, can we show that the distribution of fish changed over the 5-year interval? State and test appropriate hypotheses. State conclusions.
Number of Flights Arriving on Time Number of Flights Arriving Late Sunshine Airline 33 5 Comfort Airlines 43 6 The table above contains data from a study of two airlines - Sunshine Airlines & Comfort Airlines - which fly from BWI to Shore City, FL. If one flight is selected, find P (on time and Comfort Airlines).
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An article about the California lattery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The artide also gave Information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lattery ticket purchasers. Based on these sample data, is it reasonable to condude that ane or more af these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with a- 0.05. (Round your answer to two decimal places.) Age of Purchaser Frequency 18-34 45 35-64 100 65 and over 55 P-value interval Op
Julius has conducted a very small study of the amount of sleep his dorm mates get each night. He believes that those who are on one of the school’s sports teams will get more sleep (measured in hours per night) than those who are not. Julius surveyed 12 people. Of these, 6 played on a sports team and 6 did not. The descriptive statistics from his survey are given below. PLAYS SPORTS (Sample 1) DOES NOT PLAY SPORTS (Sample 2) 8 6 9 6 8 5 7 7 8 7 7 6 What is the critical value for this test? what is the t-obtain value for this t-test? Based on your t-obtained value, what should you conclude about the null hypothesis for this test?
The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…

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