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- Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 69 69 63.9 68.4 62.7 73.5 73.5 64.3 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: Ομ 65 B. State the mean of the sample: C. State the standard error of the sample means: D. State the test statistic: t = E. State the p-value: F. Decision: O Fail to reject the null hypothesis. Reject the null hypothesis. 73.5 96You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 28 night students and 29 day students and their GPA's are recorded below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that GPAS are normally distributed. Give answers to 4 decimal places. GPA-Night GPA-Day 3.46 3.18 2.77 2.84 3.44 3.22 3.16 3.22 3.37 3.46 2.94 3.33 2.74 2.98 3.1 3.03 2.8 3.1 3.2 3.23 3.43 3.22 3.03 3.1 3.42 3.23 2.88 3.27 2.65 2.93 3.53 3.16 3.32 3.24 2.94 3.25 2.21 3.17 2.81 2,83 2.89 3.35 2.32 3.28 2.25 3.07 3.4 3.24 2.84 3.43 3.13 3.05 2.25 2.73 2.62 2.83 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: Select an answer Select an answer H: Select an answer Select an answer Based on the hypotheses, find the following: Test Statistic- p-value- The correct decision is to Select an answer e that…Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 74.4 96 83.2 65 63.9 64.3 74.4 69 68.4 88 Test grades are believed to be normally distributed.Use a significance level of 5%. State the alternative hypothesis: HA:HA: μ>65μ>65 μ<65μ<65 μ≠65μ≠65 State the mean of the sample: (Round to two decimal places.) State the standard error of the sample means: (Round to four decimal places.) State the test statistic: t=t= (Round to four decimal places.) State the p-value: (Round to four decimal places.) Decision: Reject the null hypothesis. Do not reject the null hypothesis.
- Use the observed and predicted values given below to calculate the sum of the residuals. Y y_hat 30 32.2 31 29.8 32 33.5 33 32.7 O -3.4 O 0.005 O -2.2 O 1.8Calculate R2 and R2auj,, Showing your formulas clearly.Compute the test statistic. Find the P-value of the test statistic. Does the use of the single line appear to reduce the variation among waiting times?
- You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 21 night students and 22 day students and their GPA's are recorded below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places. GPA-Night GPA-Day 3.32 3.1 3.22 3.26 3.55 3.25 3.03 3.51 3.22 3.21 3.12 3.05 2.86 3.38 3.32 3.08 3.16 2.88 3.13 3.43 3.15 3.17 3.13 3.26 2.97 2.46 3.3 3.28 3.5 3.19 3.37 3.46 3.88 2.86 3.61 2.89 3.51 2.91 3.11 2.32 3.06 3.16 2.03 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem.H0: H1: Based on the hypotheses, find the following:Test Statistic=p-value=The correct decision is to .The correct summary would be:…Based on the hourly incomes (in US dollars) of employees in two different branches at Citibank, which set of incomes has the most variability? You do not have to calculate anything, but you can if you want to. Just take a look at the incomes and determine which set has the most variability based on the definition.Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
- You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 24 night students and 28 day students and their GPA's are recorded below. Test the claim using a 1% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places. GPA-Night GPA-Day 3.05 3.38 2.91 3.02 3.27 3.4 3.29 2.73 3.3 3.24 3.35 2.69 3.39 3.25 3.52 3.33 3.39 2.33 3.25 3.51 3.08 3.07 3.27 2.9 3.32 3.48 3 2.94 3.62 2.93 3.64 3.31 3.54 2.62 3.45 2.66 3.29 3.27 3.56 2.76 3.15 2.7 3.4 3.27 3.51 2.96 3.54 2.86 3.24 2.72 2.64 3.14 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem.H0: Select an answer x̅₂ s² x̅₁ σ² μ₂ μ₁ p ? = ≠ > < ≥ ≤ Select an answer 0 μ₂ x̅₂ x̅₁ σ² p s² μ₁ H1: Select an answer σ² x̅₂ x̅₁ μ₁ μ₂…Use the data on student load. to test the claim that mean student load is more than 6.5 units. Use α = 0.10. Assume all requirements have been met. Student Unit Load 3, 12, 6, 9, 6, 12, 15, 12, 7, 9, 3 Test the claim that mean student load is more than 6.5 units. Use α = 0.10. Assume all requirements have been met.Save Exercise 11.07 Algo (Inferences About a Population Variance) In 2017, Americans spent a record-high $9.1 billion on Halloween-related purchases (the balance website). Sample data she adults spent on a Halloween costume are as follows. 14 66 23 64 36 39 30 42 53 16 16 99 42 35 65 26 a. What is the estimate of the population mean amount adults spend on a Halloween costume (to 2 decimals)? 24 b. What is the sample standard deviation (to 2 decimals)? 24 c. Provide a 95% confidence interval estimate of the population standard deviation for the amount adults spend on a Hallowe Table 11.1. 24 0= Icon Key Exercise 11.07 Algo (Inferences About a Population Variance) Save
