On average, what value is expected for the t statistic when the null hypothesis is true? 0 1 1.96 t>1.96
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A: Defined : the test is a left-tailed test. and α=.02
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A: State the hypotheses.
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A: Provided data is, test performed is right tailed test. Level of significance α= 0.02.
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A: A random sample of n = 4 scores is obtained from a normal population with u = 30 and σ = 8.
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- The critical value of F for an alpha level of 0.05 and 2 and 12 degrees of freedom is 3.88. if the observed F value of 6.67 is greater than 3.88. what happens to the null hypothesis and explain your position?A sample of n = 4 scores is selected from a population with µ = 70 and s = 10. The probability of obtaining a sample mean greater than 65 is p = 0.8413. True FalseIn the year 2000, the average car had a fuel economy of 22.74 MPG. You are curious as to whether this average is different from today. The hypotheses for this scenario are as follows: Null Hypothesis: µ = 22.74, Alternative Hypothesis: µ + 22.74. You %3D perform a one sample mean hypothesis test on a random sample of data and observe a p-value of 0.6901. What is the appropriate conclusion? Conclude at the 5% level of significance. 1) We did not find enough evidence to say the true average fuel economy today is greater than 22.74 MPG. 2) We did not find enough evidence to say the true average fuel economy today is less than 22.74 MPG. 3) The true average fuel economy today is significantly different from 22.74 MPG. 4) The true average fuel economy today is equal to 22.74 MPG. 5) We did not find enough evidence to say a significant difference exists between the true average fuel economy today and 22.74 MPG.
- A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 50 people shows that the mean tuna consumption by a person is 3.1 pounds per year. Assume the population standard deviation is 1.21 pounds. At α = 0.1, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. Ho: μ#3.1 H₂:μ = 3.1 D. H₂:μ≤3.1 Ha:μ>3.1 (b) Identify the standardized test statistic. Z= (Round to two decimal places as needed.) B. Ho: μ = 3.3 H₂:μ#3.3 E. Ho:μ≤3.3 Ha:μ>3.3 C. Ho: μ>3.3 H₂:μ≤3.3 F. Ho: μ>3.1 Hg:μ≤3.1A researcher claims that the proportion of smokers in a certain city is less than 20%. To test this claim, a random sample of 700 people is taken in the city and 150 people indicate they are smokers. The following is the setup for this hypothesis test: {H0:p=0.20 {Ha:p<0.20 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.T7.13. According to government data, 22% of American children under the age of six live in households with incomes less than the official poverty level. A study of learning in early childhood chooses an SRS of 300 children. Find the probability that more than 20% of the sample are from poverty households. Be sure to check that you can use the Normal approximation.
- Suppose X is a normal random variable with mean ? = 100 and standard deviation ? = 10. Find a such that P(X ≥ a) = 0.03. (Round your answer to one decimal place.)a =Suppose you wish to test the hypothesis H0:P=0.9 versus H1:P≠0.9 based on a random sample of size 100 and number of successes 70. Find the value of the test statistic. (Note: use the continuity correction).Bags of a certain brand of tortilla chips claim to have a net weight of 14 oz. Net weights actually vary slightly from bag to bag and are Normally distributed with mean u. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised, so he intends to test the hypotheses Ho: μ = 14, Ha: μ < 14. To do this, he selects 16 bags of this brand at random and determines the net weight of each. He finds the sample mean to be x = 13.88 and the sample standard deviation to be s = 0.24. Suppose in a similar test of 16 bags of these tortilla chips the P-value is 0.001. Further suppose that a is chosen to be 0.001. In that case, we would conclude that: Othere is not significant evidence that the mean net weight of the bags of chips is less than the advertised 14 oz. O there is not significant evidence that the mean net weight of the bags of chips is not less than the advertised 14 oz. O there is significant evidence that the…
- 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?When testing the claim that the population mean is less than 12.8, suppose you get a test statistic of t= -0.92 and a P-value of 0.1818. What should we conclude about the claim? DII O There is sufficient evidence to warrant rejection of the claim. O There is not sufficient evidence to warrant rejection of the claim. O There is sufficient evidence to support the claim. O There is not sufficient evidence to support the claim. Submit Question F3 $ 4 R F4 % 5 T G B F5 6 H N F6 e & 7 U X M 8 PrtScn K 9 Home F9 End F10 PoSuppose there is a claim that a certain population has a mean, µ, that is different than 9. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, H and the alternative hypothesis, H, as follows. Ho: µ=9 H1: µ#9 Suppose you also know the following information. The value of the test statistic based on the sample is 1.745 (rounded to 3 decimal places). The p-value is 0.081 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03+ Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. 0.1- Step 4: Enter the p-value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? O Since the p-value is less than (or equal to) the…