For which sample size (n) and population parameter (p) can a normal curve be used to approximate the sampling distribution? A. n= 30; p= 0.3 B. n= 30; p 0.6 O C. n= 15; p = 0.3 D. n 15; p 0.6
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A: Given: n = 100 p^ = 0.25 P = 0.29 α = 0.05 Formula Used: Test-statistic Z = p^-PP(1-P)n
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- Describe the sampling distribution of p. Assume the size of the population is 20,000. n= 900, p = 0.6 ..... Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because ns0.05N and np(1 - p) 10. Determine the mean of the sampling distribution of p. Ha = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)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…According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 11 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 2, 2.9, 4.5, 0.7, 3.3, 4.5, 4.2, 1.2, 0.9, 1.8, 2.8 What can be concluded at the αα = 0.05 level of significance? The p-value = (Please show your answer to 4 decimal places. Based on this, we should Select an answer fail to reject accept reject the null hypothesis Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to…
- Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance & using the given sample statistics. Claim: p < 0.13; x = 0.05; Sample statistics: p=0.12, n = 25 Can the normal sampling distribution be used? A. No, because nq is less than 5. O B. No, because np is less than 5. OC. Yes, because both np and nq are greater than or equal to 5. D. Yes, because pq is greater than α = 0.05.Can you please check my workThe grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) 25 3.2 2.6 O below. 1.7 0.7 4.0 Assume the population is normally distributed. 2.3 1.3 3.8 0.4 2.3 3.3 (a) Find the sample mean. x- (Round to two decimal places as needed.)
- Distribution of sample means e.For a sample size of 115 and a population parameter of 0.1, what is the standard error of the sampling distribution? Round your answer to three decimal places. A. 0.054 ) B. 0.043 OC. 0.028 D. 0.035According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.5, 2, 2.9, 3.8, 4.6, 1.1, 1.8, 2.6, 1.4, 2.8, 4.5, 1.2, 1, 0.7, 3, 1.2 What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer < ≠ = > H1:H1: ? p μ Select an answer < ≠ = > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to…