Hypothesis Test for a Population Mean (o is Known) You wish to test the following claim (Ha) at a significance level of a = 0.005. H.:µ = 62.8 Ha:µ > 62.8
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- ed weight (in kg) and total serum cholesterol (TSC in mg/dl) data for five men (n = 5). They tested for association between weight and TSC at 5% level of significance. weight, X TSC, Y X*X Y*Y X*Y 37 2.9 1369 8.41 107.3 50 0.7 2500 0.49 35.0 67 3.3 4489 10.89 221.1 70 4.2 4900 17.64 294.0 57 3.8 3249 14.44 216.6 SUM: 281 14.9 16507 51.87 874.0 What are the Null and Alternate hypotheses for this test? Clearly label your answers as HỌ or H1. (Do not use a numerical format. Both of your statements must be in sentence form, and say something about the weightAnswer these questionAssume 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…
- IQ scores for three different blood lead levels was measured. If we use three categories of blood lead levels with measured verbal IQ scores, we get the computer output which is summarized in table form. Using a 0.05 significance test, test the claim that the three categories of blood lead level have the same mean verbal IQ score. Does exposure to lead appear to have an effect on verbal IQ scores? Interpret the table below. Source of variation df Sum of squares Mean squares Computed f p-value LEAD 2 142 71 0.39 0.677 Error 118 21441 182 Total 120 21584pare percentage differences between 2 or more categories of an independent variable), the following statistical test should be used: a. Simple linear regression b. Pearson correlation coefficient c. T test d. Chi-square testAnswer all the questions
- VI. ASSESSMENT/ACTIVITY Compute the z-value and state whether the z-score locates the raw score x within a sample or within a population 1. x = 50 S = 5 X = 40 2. x = 40 o = 8 u = 52 3. x = 36 S = 6 x = 18 4. x = 74 5. x = 82 S = 10 X = 60 o = 15 u = 75What is the value of the test statistic? Find the p-value What is the appropriate conclusion at α=0.10? do not round pleaseResearchers sampled fish from a lake and measured the lengths (mm) of all individuals of two species, bream and perch. They were interested in testing whether there was a difference in the mean lengths of the two species in the lake. Based on the output below, what would be the correct conclusion to draw? Mean n Std deviation Std error of mean Bream 531.00 6 309.60 126.39 Perch 154.82 11 78.76 23.75 options: Bream are significantly larger on average than perch in this lake. There is no significant difference in average sizes of the two species of fish from this lake. The variances are different so it is not possible to do a statistical test comparing means. Perch are significantly larger on average than bream in this lake.
- What are you drinking? Environmental Protection Agency standards require that the amount of lead in drinking water be less than 15 micrograms per liter. Eleven samples of water from a particular source have the following concentrations, in units of micrograms per liter. Assume the population standard deviation is σ=5. If appropriate, perform a hypothesis test to determine whether you can conclude that the mean concentration of lead meets the EPA standards. Use the α=0.05 level of significance and the P-value method with the TI-84 calculator. 11.9 14.9 14.8 16.7 8.9 12.9 8.8 13.9 17.9 9.9 16.1 Explain why it is necessary to check that the population is approximately normal before performing a hypothesis test. It is necessary to check that the population is approximately normal because (the sample size is small n≤30 or there might be outliers or the distribution might be skewed .... State the appropriate null and…What statistical test to use to test my hypothesis on spss? (compare means and proportions) H0:There is no relationship between the distance from the ocean and the price of the house. H1:There is a significant positive correlation between the distance from the ocean and the price of the house.Really need help! Thank