Which of the following is the test statistic calculated when performing the related hypothesis test
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Whether the variability of two competing products offered to the sunday for a certain quality characteristic is the same will be tested by taking the random samples mentioned below. Which of the following is the test statistic calculated when performing the related hypothesis test?
Sample 1 Sample2
n1=17 n2=11
x=254 x=164
s21=23.38 s22=8.02
Answer options group
A)2.91
B)1.35
C)4.53
D)15,38
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- . The term sample usually refers to a sample that ___ - Consists of people with chemical dependency problems - Uses the same group of individuals with a before/after measurement - Requires a dependent variable for hypothesis testing - Is randomly selected from two dependent populationsA poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if Question Viewer idence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Male 340 164 Female 319 161 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. The sex of the respondent The sex of the respondent Ho: H₁: Compute the test statistic. Don't know 27 29 and the choice for the cause of global warming are independent. and the choice for the cause of global warming are dependent. (Round to three decimal places as needed.)You wish to test the following daim (Ha) at a significance level of a = 0.001. H.:P1 2 P2 Ha:P1 < P2 You obtain a sample from the first population with 244 successes and 117 failures. You obtain a sample from the second population with 523 successes and 202 failures. test statistic = [three decimal accuracy] p-value = [four decimal accuracy) The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null hypothesis O fail to reject the null hypothesis As such, the final condusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.
- The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:What are the values for SS and variance for the following sample of n = 3 scores? Sample: 8, 5, 2When three groups were compared using the one-way Analysis of Variance (ANOVA), the result turned out to be significant, that is, the null hypothesis was rejected. What will be the appropriate interpretation of this result?A. All three groups significantly differ in means.B. Exactly two of the three groups significantly differ.C. At least two of the three groups significantly differ in means.D. All three groups have the same effect on the dependent variable.
- Which statement best represents the logic of a one way analysis of variance which also called ANOVA which is also called the F test? A. Under the null, The population means are equal to each other, so any difference in sample means will register as significant difference B. Under the null, at least one mean is different from the others, so if this condition is met with the data, it will register as a significant difference C. Under the null, The means are assumed to be equal; as a result the between group variance will equal the within group variance ; if the calculated SSbetween is sufficiently larger than SSbetween this would suggest the between group variation is larger than within group variation and indicate there is a significant difference amount the means D. Under the null, the means are assumed to be equal, as a result, the within group variance will be larger than the between group variance and this will be revealed by a significant F, which would indicate that the…Q: The dataset (provided below this question) lists the ages of customers at 5 different coffee stores in a major metropolitan city. At the 1% significance level, is there evidence of a difference in the population mean ages between the customers at the five stores. Note: Please only provide the t stat, p-value and the appropraite lower, upper, or two tailed test critical value. Ages of customers in 5 different coffee stores STORE A STORE B STORE C STORE D STORE E 30 33 18 27 34 29 27 32 28 25 21 19 35 27 20 20 40 36 36 45 33 28 15 27 28 29 42 35 29 43 33 34 33 18 35 32 14 23 16 45 8 37 29 18 14 41 23 35 30 28 18 37 40 41 35 21 29 26 38 56 37 41 43 29 33 41 29 23 36 41 39 20 47 29 28 26 25 27 28 32 44 38 40 32 20 14 27 48 42 37 33 38 37 29 31 27 42 41 32 8 35 35 17 26 29 8 23 51 16 13 26 42 36 29 47 20 33 37 38 28 28 16 30 35 47 40 44 42 34 32 22 30 16 26 24 31 35 32 35 23 30 10 22 26 18…What is the standard error for the independent sample t statistic for the two samples? Sample 1 n = 6, SS = 56 Sample 2 n = 4, SS = 40 Select one: 2.24 9.6 12 5
- 1. We want to investigate whether traffic accidents are more likely on certain days of the week on certain road sections. Which of the following tests best fits the situation?Choose one:a. Two-way analysis of variance OR b. Compatibility test OR c. Paired t-test 2. In which of the following can it be assumed that the sample comes from a normal distribution?Choose one:a. In the Runs test (random test)b. In the compatibility testc. In a two-way analysis of varianceQ.3 For the following data: a) Compute SST, SSTR, SSE b) Construct a one-way ANOVA table c) Decide at the 5% significance level, whether the data provide sufficient evidence to conclude that the means of the populations from which the samples are drawn are not the same. Sample 1 Sample 2 Sample 3 Sample 4 11 16 6 2 10 7 4 10 3. we have: ng = 3 n3= 3 n4 = 3 Ta 24 = 1s Ty= 36 THa9 n z Enj = 12 Exz= IT;= &4 ..... Ex - (Ex:*/n = SSTR = I (Tim;) - (Iri)/n = ()+( )+( )+( ) -- 2. SST = 12 SSE = 5sT - SSTR = Fostatistic df MS 2 df :عاطء Souree SS MSTR/MSE 138 Treatment where: MSE- SSE/(n-k) MSTR = SSTR/(K-1) Enron Tofal df z ( 3, 8) caitical Valme s ? Compare test- statistic to cv. Do you rejuctNull or Do not rejrit what dees it mean ? write hereGiven below are the analysis of variance results from a stat software display comparing sample data for the meanmileage for 4 different types of cars. Assume that you want to use a 0.05 significance level in testing the null hypothesisthat the different samples come from cars with the same mileage. What can you conclude about the equality of the population means?Source DF SS MS F pFactor 3 13.500 4.500 5.17 0.011Error 16 13.925 0.870Total 19 27.425 12)What is the null and alternative hypothesis for this scenari?Based on this One Way Anova software analysis, would you reject of fail to reject the nul hypothesis?What does this result mean in context?