Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Claim: μ<5215; α=0.01 Sample statistics: x=5417, s=6061, n=54
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Test the claim about the population mean μ at the level of significance α. Assume the population is
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- HW Score: 0%, O of 16 pts Question Help O The price-earnings ratios for all companies whose shares are traded on a specific stock exchange followa normal distribution with a standard deviston of 43 Arandom sample of these companies is selected in order to estimate the population mean price-earnings ratio Complete parts (a) through (c) a How large a sample is necessary in order to ensure that the probablity that the sample mean differs from the population mean by more than 1.1s less than 0 107 The sample size must be at least 42. (Type a whole number) b. Without doing the calculations, state whether a larger or smaller sample size compared to the sample sze in part (a) wouid be requred to guaranlee that the probability of the sample mean differing from the population mean by more than 1.1 is less than 0.05 Incorrect: O The sample size would need to beTest the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: u#6000; a = 0.05; o = 331. Sample statistics: x = 6200, n = 47 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H#6000 B. Ho: µs 6000 Hai H2 6000 Ha: H# 6000 O C. Ho: H26000 O D. Ho: H = 6000 %3D Ha: H6000 Ha: u +6000 O E. Ho: H#6000 O F. Ho: µ#6000 Ha:H= 6000 Ha: H5 6000Assume 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…
- Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed. Claim: μ>1230; α=0.09; σ=203.58.Sample statistics: x=1255.28, n=275 A. Calculate the standardized statistic B. Determine P value C. Determine the outcome and conclusion of the test Please show me how you solved the problem.Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: p= 30; a=0.06; o= 3.25. Sample statistics: x= 28.9, n= 73 %3D OF Ho H= 30 H3 p 30 Calculate the standardized test statistic. The standardized test statistic is -2.89 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical values are t O B. The critical value isPlz help asap 41
- Find the standardized test statistic t for a sample with n = 20, x=6.8, s= 2.0, and o = 0.05 if Hau < 7.2, Round your answer to three decimal places.Determine the minimum sample size required when you want to be 95% confident that the sample mean is within two units of the population mean and = 4.3. Assume the population is normally distributed. n =Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular μ μ1 μ2 n 20 20 x 0.78646 lb 0.80233 lb s 0.00449 lb 0.00755 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1=μ2 H1: μ1>μ2 C. H0: μ1≠μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1<μ2 The test statistic, t, is nothing. (Round to two decimal places as needed.) The P-value is…
- Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed. Claim: μ>1230; α=0.07; σ=205.81. Sample statistics: x=1263.09, n=250 Calculate the standardized test statistic. The standardized test statistic is enter your response here . (Round to two decimal places as needed.)Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p1 and p2 at the given level of significance α using the given sample statistics. Assume the sample statistics are from independent random samples. Claim: p1=p2, α=0.10 Sample statistics: x1=142, n1=156 and x2=144, n2=188 Find the standardized test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed. Claim: μ>1290; α=0.02; σ=210.88. Sample statistics: x=1309.93, n=200 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ>1290 Ha: μ≤1290 B. H0: μ≥1290 Ha: μ<1290 C. H0: μ≤1290 Ha: μ>1290 D. H0: μ≥1309.93 Ha: μ<1309.93 E. H0: μ≤1309.93 Ha: μ>1309.93 F. H0: μ>1309.93 Ha: μ≤1309.93 Calculate the standardized test statistic. The standardized test statistic is nothing. (Round to two decimal places as needed.) Determine the P-value. P=nothing (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. ▼ Reject Fail to reject H0. At the 2% significance level, there ▼ is not is enough…