A wine producer believes that a new advertisement will increase product sales inLCBO by an average of 50 cases in a week. For a random sample of 20 LCBO stores, itwas found that the average sales increase was 41.3 cases, and the sample standarddeviation was 12.2 cases.Test the null hypothesis that the population mean sales increase is at least 50 cases,stating any assumptions you can make. Use 5% as a significant level.(You NEED to use BOTH the Critical-value approach and p-value approach to get afull mark).a) None of the answers are correctOb) Do not reject the null hypothesisO) Reject the null hypothesis.

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Answered: A wine producer believes that a new…

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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Many psychologists are concerned that the average level of anxiety in children has increased over the past 40 years. In the 1980s, the population average score on the Child Manifest Anxiety Scale (CMAS) was 15.1. In 2021, a random sample of 101 children was tested with CMAS. The mean for the sample was 16.1 with the standard deviation of 4. Is there enough evidence to claim that there has been a significant change in the average level of anxiety since the 1980s? Conduct the appropriate statistical test (two- tailed) with a = .05. Based on the information provided above, which statistical test seems most appropriate? independent samples t test z test dependent samples t test one sample t test
Many psychologists are concerned that the average level of anxiety in children has increased over the past 40 years. In the 1980s, the population average score on the Child Manifest Anxiety Scale (CMAS) was 15.1. In 2021, a random sample of 101 children was tested with CMAS. The mean for the sample was 16.1 with the standard deviation of 4. Is there enough evidence to claim that there has been a significant change in the average level of anxiety since the 1980s? Conduct the appropriate statistical test (two- tailed) with a = .05. Based on the statistical evidence, can it be claimed that there has been a significant change in the average level of anxiety since the 1980s? No Yes
A random sample of 160 commercial customers revealed that 32 had paid their accounts within a month of billing. Can normality be assumed for the sample proportion?
In March 2016, it was reported that key American brands had increased their daily Instagram posts from 0.89 per day at the end of 2014 to 1.04 posts per day by the end of 2015. With consistent samples sizes of 10,000 each for December 2014 and December 2015, the sample standard deviation for 2014 was 6.5 posts per day and 5 posts per day in 2015. Julian Gottke, writing for Quintly, seemed to indicate that the increase from 0.89 posts per day to 1.04 posts per day was significant. To test whether this increase was statistically significant, a one-tail hypothesis test of the means of two independent populations using the t statistic was ordered. How would I set up my null and alternative hypothesis and determine the levels of significance and compute the test statistic?
in a test of a lifelong brand of tires , a survey revealed that the mean life was 35,000 mikes and the standard deviation was 7083 mikes. if the shape of the population distribution is known to be normal, approximately what percentage of the tires lasts less than 20834 miles ?
An article in the San Jose Mercury News stated that students in the California state universitysystem take 4.25 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 64 students and obtain a sample mean of 4.5 with a sample standard deviation of 1.5. Do the data support your claim at the 1% level?
A study that looked at beverage consumption used sample sizes that were much smaller than previous national surveys. One part of this study compared 20 children who were 7 to 10 years old with 5 who were 11 to 13. The younger children consumed an average of 8.5 oz of sweetened drinks per day while the older ones averaged 14.5 oz. The standard deviations were 10.9 oz and 8.5 oz respectively.Use younger children as population 1. (a) Do you think that it is reasonable to assume that these data are Normally distributed? Explain why or why not. (Hint: Think about the 68-95-99.7 rule.) O The distributions appear to be Normal according to the 68-95-99.7 rule. We can see that the groups have means and standard deviations, two characteristics of Normal distributions. O The 68-95-99.7 rule suggests that the distributions are not Normal. If they were, we would expect some of the children to drink negative amounts of sweetened drinks, which does not make sense. (b) Using the methods in this…
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The Department of Agriculture wants to determine whether the mean yield per acre for a particular variety of soybeans is different this year compared to the historical avg yield of 520 bushels per acre. Thus, the null and alternative hypotheses are Ho: mu = 520 Ha: mu is not = to 520 You set out to conduct a hypothesis test at the 95% level. Mean yields are distributed Normally. You take a sample of 36 different acres. From this sample, you calculate a mean yield of 573 and a std deviation of 24. Do you reject or not-reject the null hypothesis? Group of answer choices Do not reject the null hypothesis. Reject the null hypothesis.
During 2003 gasoline prices reached record high prices in 16 states United States (The Wall Street Journal, March 7, 2003). Two of the states affected were California and Florida. The American Automobile Association foundas sample mean price per gallon $2.04 in California and $1.72 per gallon in Florida. Use 40 as the sample size for California and 35 as the sample size for Florida. Suppose that previous studies indicate that the population standard deviation in California it is 0.10 and in Florida 0.08.a) Test at the 10% level the null hypothesis that the population means of the gasoline prices are equal against the alternative hypothesis that, on average, Gasoline is more expensive in California than in Florida.b) Find the p-value of this test.

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