You are conducting a multinomial hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Squared Observed Expected Frequency Frequency Category Pearson Residual 9. 7. 14 17 12 What is the chi-square test-statistic for this data? x² = Report all answers accurate to three decimal places. C.
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- 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…Can you please help me with D thank you!Test the claim that for the population of statistics final exams, the mean score is 79 using alternative hypothesis that the mean score is different from 79. Sample statistics include ?=17, x¯=80, and ?=16.s=16. Use a significance level of ?=0.01.. (Assume normally distributed population.)The test statistic is
- Wheaties cereal is claimed to have an average of 3 grams of dietary fiber per serving. We want to test this hypothesis and to see whether we believe that is true or that the mean amount of fiber is significantly different from 3 grams. A random sample of 25 servings was taken and it yielded a sample mean of 3.4 grams with the sample standard deviation in the amount of fiber, s = .8 grams. %3D Assume that software has determined the p-value to be.02. Carry out the test at the 5% level of significance. Be sure to state your decision rule and your decision for the test. O Fail to Reject the null hypothesis since the p-value is .05 O Fail to Reject the null hypothesis since the p-value is > .05HW10Q9Consider a two-tailed test with a level of confidence of 84.90%. The z-value is _______. 2.88 1.44 1 2.11
- Does color enhance creativity? Test the indicated claim about the standard deviations or variances of two populations. Subjects are given a creativity exercise on a computer with either a red background or a blue background. The scores are shown in the table. At the 0.05 significance level, test the claim that those tested with red background have creativity scores with a standard deviation equal to the standard deviation for those tested with a blue background. Red Background Blue Background n1 = 39 n2 = 34 xˉx̄1 = 19.6 xˉx̄2 = 20.5 s1 = 0.72 s2 = 0.01 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer x̄₂ x̄₁ μ(red) p₂ p μ₁ μ₂ σ₁ s₁² σ(red) p₁ μ p̂₁ ? ≠ < > ≤ ≥ = Select an answer μ₁ μ₂ p₁ μ(blue) p σ₂ p₂ σ(blue) s₁² x̄₁ x̄₂ μ p̂₁ H1: Select an answer μ σ₁ x̄₁ μ(red) p̂₂ p₁ s₂² p₂ μ₂ μ₁ σ(red) x̄₂ p ? ≤ ≥ ≠ > = < Select an answer μ(blue) σ(blue) p μ μ₁ p₁ x̄₂ s₁² x̄₁ σ₂ p̂₁ p₂ μ₂…The mean annual tuition and fees for a sample of 14 private colleges in California was $ 37,900 with a standard deviation of $7200 . A dotplot shows that is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions state the null and alternative compute the value of the t statuistic ,. How many degrees of freedom state your conclusionComplete the table. Observed Expected Frequency Frequency Residual Squared Category A 25 21 36 20 What is the chi-square test-statistic for this data? B