A random sample of size n=16 is drawn from a population having a normal distribution. The mean and standard deviation from the random sample are 23.8 and 3.2, respectively. Find a 98 percent confidence interval for μ.
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Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
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Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
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Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
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Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
A: Given The data is as follows: μ μ1 μ2 n 26 26 x 0.56 0.36 s 0.55 1.32
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Q: Find the F-test statistic to test the claim that the population variances are equal. Both…
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Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
A: (a)To test whether the treatment is effective, the following null and alternative hypotheses are…
Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
A: Provided data: Treatment Sham μ(population mean) μ1 μ2 n (sample size) 13 13 x¯ (sample…
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Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
A: For (b) I have used Ti 8 plus calculator
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A: Given that Sample size n = 8 Sample mean = 10 Sample SD = 5 Level of significance = 0.05
Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
A: H0: mu1 <= mu2 H1: mu1 > mu2 x1(bar) = 0.49 x2(bar) = 0.39 s1 = 0.77 s2 = 1.22 n1 = 12 n2 = 12
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A: Given Data : For treatment x̄1 = 0.55 s1 = 0.84 n1 = 29 For Sham…
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Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
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Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
A: Null hypothesis proposes that there is nullity means no difference, both the effects are same. So…
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Q: b. Construct a confidence interval suitable for testing the claim that those treated with magnets…
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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
A: TreatmentShamn11110.540.38s0.871.25Do not assume that the population standard deviations are equal.
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- Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham(or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributedpopulations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? What is the test statistic, t? What is the P-value? State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.The state's education secretary claims that the average cost of one year's tuition for all private high schools in the state is $2350. A sample of 30 private high schools is selected, and the average tuition is $2315. The standard deviation for the population is $38. At α = 0.05, is there enough evidence to reject the claim that the average cost of tuition is equal to $2350?Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. 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. Treatment Sham μ μ1 μ2 n 13 13 x 0.48 0.41 s 0.76 1.42 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. 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…
- A study was done on body temperatures of men and women. The results are shown in the table. 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. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men 11 11 97.53°F 0.76°F Women H₂ 59 97.46°F 0.69°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OB. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OD. Reject the null hypothesis. There is sufficient evidence to support the claim…A study was done on body temperatures of men and women. The results are shown in the table. 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. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men H₁ 11 97.66°F 0.75°F Women H₂ 59 97.22°F 0.68°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O B. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O C. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. O D. Fail to reject the null hypothesis. There is sufficient evidence to support the…A lumber company is making boards that are 2900 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 35 boards is taken, and it is found that they have a mean of 2900.3 millimeters. Assume a population standard deviation of 8. Is there evidence at the 0.01 level that the boards are either too long or too short? Step 2 of 3 : Find the P-value for the hypothesis test. Round your answer to four decimal places.
- Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The executives hire a statistical consultant and ask her to determine the mean shopping time, μ, of customers at the supermarkets. The consultant will collect a random sample of shopping times at the supermarkets and use the mean of these shopping times to estimate μ. Assuming that the standard deviation of the population of shopping times at the supermarkets is 27 minutes, what is the minimum sample size she must collect in order for her to be 95% confident that her estimate is within 5 minutes of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 38.9 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.09, can you reject the company's claim? Complete parts (a) through (e). (a) Identify H0 and Ha. Choose the correct answer below. A. H0: μ=40 Ha: μ≠40 B. H0: μ=38.9 Ha: μ≠38.9 C. H0: μ≠40 Ha: μ=40 D. H0: μ≤40 Ha: μ>40 E. H0: μ≤38.9 Ha: μ>38.9 F. H0: μ≠38.9 Ha: μ=Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (1): n=22,x=0.58, s=0.89 Reduction in Pain Level After Sham Treatment (H2): n=22, x = 0.51, s = 1.29 H₁: H1 H2 The test statistic, t, is 0.21. (Round to two decimal places as needed.) The P-value is 0.417. (Round to three decimal places as needed.) State the conclusion for the test. OD. Ho H₁₂ H₁: H1 H2 Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than…
- Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the s Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (u): n=15, x=0.45, s=1.02 Reduction in Pain Level After Sham Treatment (H2): n = 15, x=0.38, s = 1.55 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁₁ 2H2 OC. Ho: HH2 H₁: H₁A large airline company called Fusion Fly monitors customer satisfaction by asking customers to rate their experience as a 1, 2, 3, 4, or 5, where a rating of 1 means "very poor" and 5 means "very good". The customers' ratings have a population mean of μ = 4.29, with a population standard deviation of a = 1.15. Suppose that we will take a random sample of n=7 customers' ratings. Let x represent the sample mean of the 7 customers' ratings. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find μ- (the mean of the sampling distribution of the sample mean). H₂=0 X (b) Find o- (the standard deviation of the sampling distribution of the sample mean). 0--0 X
