If, in a sample of n=25 selected from a normal population, X=52 and S=10, what is the value of the t-test statistic if you are testing the null hypothesis H0: μ=50?
Q: n₁ = 14, n₂ = 12, x₁ = 21, ₂22, s, 2.5, s₂ -2.8 OA Reject Ho if the standardized test statistic is…
A: We have given that Sample mean (x̅1) = 21Sample mean (x̅2) = 22Sample size (n1) = 14Sample size…
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Q: A sample of n = 25 subjects is tested at two time periods. If MD=3.40,MD=3.40, sD=8.50,sD=8.50, the…
A: Given information: MD=3.40, sD=8.50, n=25 Null hypothesis: H0 : μDifference≤0 Alternate hypothesis:…
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A: Given that x̄ =70 , μ = 65 , s = 20 , n =25 Test statistic ( t ) t = ( x̄ - μ )/(s/√(n)
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A: Russell says he is willing to accept a 5% chance of making a Type I error in this study. so…
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A: It is given that the critical t score is -2.33 and the observed t value is -2.01.
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A: Given: α=0.05P-Value=0.04
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Q: Consider the following null and alternative hypotheses: Ho:u = 60 versus H1: µ > 60 Suppose you…
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A: Solution: Given information: k= 4 Group 5 observation for each group n= n1+n2+n3+n4 n= 5+5+5+5=…
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Q: hich of the following is the correct statement of the null hypothesis for the test?
A: In hypothesis testing, a null hypothesis can be defined as the hypothesis of no difference or…
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A: Given that μ = 100
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A: Power of the test: The power indicates the probability of the test rejects H0 correctly.
Q: A sample of n = 10 scores has a mean of M = 3. What is ΣX for this sample?
A: Solution: From the given information, M=3 and n=10.
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Q: A random sample of size 20 drawn from a normal population yielded the following results: 3= 49.2, s…
A: Givensample size(n0=20Mean(x)=49.2standard deviation(s)=1.33H0:μ=50H1:μ≠50α=0.01
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A: (1) State the hypotheses.
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A: From the above data We are given that P value = 0.0422 Level of significance =0.05
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A: According to our guidelines we can answer only first question and rest can be reposted.
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A: Answer - Given, It has been claimed that 17% of all adults visit a movie theater at least once per…
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A: Given: n=20. Since, population standard deviation is not known, use t-test. Then,Degrees of…
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A: given data, sample average =44.4population mean is =44standard error=1test statistics=?
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- 65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a FileA sample of n = 25 subjects is tested at two time periods. If MD=3.40,MD=3.40, sD=8.50,sD=8.50, the null hypothesis is H0:μD≤0μD≤0, and the alternative hypothesis is H0: μD>0,μD>0, what is the value of the computed t test statistic?Historically it is known thatp = 36.3% of the population have a specified characteristic. A random sample of size n=500 is taken, and x=167 number of the population has the specified characteristic. Determine the value of the test statistic for the hypothesis test of one proportion with null hypothesis Ho: p = 36.3%. Enter your answer to two decimal places.
- You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Trump is 0.42. However, you think it is less than 0.42. The hypotheses you want to test are Null Hypothesis: p ≥ 0.42, Alternative Hypothesis: p < 0.42. You take a random sample around town and calculate a p-value for your hypothesis test of 0.7963. What is the appropriate conclusion? Conclude at the 5% level of significance. Question 4 options: 1) We did not find enough evidence to say the proportion of people who support President Trump is larger than 0.42. 2) We did not find enough evidence to say a significant difference exists between the proportion of people who support President Trump and 0.42 3) The proportion of people who support President Trump is significantly less than 0.42. 4) We did not find enough evidence to say the proportion of people who support…Suppose you test the null hypothesis Ho : o? = o against the alternative hypothesis Ha:o? + o at a significance level of a about the p-value of your test? 5%. The value of your F-statistic is 2.67. What is true O The p-value is 5%. O The p-value is P(F > 2.67). O The p-value is less than 5%, O The p-value is 2 P(F> 2.67).In a sample of n = 15 selected from an underlying normal distribution, we obtain standarddeviation s = 10. Test the null hypothesis that the population standard deviation σ = 16.
- Previously, 12.1% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 80 workers and finds that 18 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the x = 0.1 level of significance. What are the null and alternative hypotheses? P = 0.121 versus H1: p Ho: p (Type integers or decimals. Do not round.) > 0.121 Because npo (1- Po) = < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.)Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?4. Past experience indicates that the time required for high school seniors to complete a standardized examination is a normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete the examination with a standard deviation of 4.3 minutes, test the hypothesis at 5% level of significance that µ = 35 minutes, against the alternative µ< 35 minutes.
- Assume that you have a binomial experiment with p= .3 and a sample size of a 100. The value of the variance is?A sample of 100 yielded a test statistic of 2.1. For a level of significance of 0.05, the null hypothesis was rejected. What was the sample proportion for the sample of .1 100? What was the p-value for this test? 0.864The Kyoto Protocol was signed in 1997, and required countries to start reducing their carbon emissions. The protocol became enforceable in February 2005. In 2004, the mean CO2 emission was 4.87 metric tons per capita. In 2010, the CO2 emissions for a random sample of 31 countries were collected. Is there enough evidence to show that the mean CO2 emission is lower in 2010 than in 2004? State the random variable, population parameter, and hypotheses. The symbol for the random variable involved in this problem is The wording for the random variable in context is as follows: The symbol for the parameter involved in this problem is The wording for the parameter in context is as follows: Fill in the correct null and alternative hypotheses:�0: ��: A Type I error in the context of this problem would be A Type II error in the context of this problem would be