Construct the confidence interval for the population mean. c=0.98 x overbar= 8.1 σ=0.5 and n=44 A 98% confidence interval for the mean is (___ , ____)
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Construct the confidence interval for the population
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- Use technology to construct the confidence intervals for the population variance σ2and the population standard deviation σ. Assume the sample is taken from a normally distributed population. c=0.98, s=32, n=17 The confidence interval for the population variance is (____,_____) . (Round to two decimal places as needed.)Using a mean of 10 and standard deviation of 2.45, convert these z-scores back into raw scores. z-score = 1.11 Raw Score= _______________ z-score = -1 Raw Score= ______________ z-score= -0.92 Raw Score= _____________esc Introduction A chain of restaurants has historically had a mean wait time of 9 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 44 customers. The mean wait time for the sample is 9.6 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes. Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. The value of the test statistic is given by Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Explanation μ Check □<口 X X OSO 020 0=0 x-H √n • The p-value is the area under the curve to the right…
- K A study was done on proctored and nonproctored tests. 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 A. Ho H1 H2 H₁ H₁ H₂ ỌC. Hồ Hi-12 H₁: Hy > H₂ 0 в. Но 141=12 H₁ H₁ H₂ O D. Ho 11 #₂2 H₁ H1 H₂ The test statistic, t, is (Round to two decimal places as needed) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. Proctored Nonproctored H 144 n 34 CIXS 77.58 11.08 12 31 81.91 21.24 A. Reject Ho There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. OB. Fail to reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C. Fail to reject Ho. There is not sufficient evidence to support the…A random variable X has a binomial distribution with q = 0.34 and a sample size of n. Find the mean and variance for the random variable Y which is defined below. Y = nX Mean: __________________ Variance: __________________K A person's body mass index (BMI) is computed by dividing the weight (kg) by the square of height (m). The accompanying table contains the BMI statistics for random samples of males and females. 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. Let population 1 be females. Complete parts (a) through (c) below. Click the icon to view the table of statistics. D. Ho: H1 H2 H₁: H1 H2 Statistics Female BMI: n = 70 x=29.35 S=7.18 Male BMI: n=82 x=28.45 S=5.53 The test statistic is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. the null hypothesis. There Print Done sufficient evidence to warrant rejection of the claim that females and males have the same mean BMI. b. Construct a confidence interval appropriate for testing the claim in part (a). The % confidence interval…
- 4000 B.C. A.D. 150 A study was done on skull sizes of humans during different time periods. 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. Complete parts (a) and (b) below. H2 27 27 131.05 mm 133.94 mm S 5.18 mm 5.27 mm a. Use a 0.05 significance level to test the claim that the mean skull breadth in 4000 B.C is less than the mean skull breadth in A.D 150. What are the null and alternative hypotheses? O B. Ho: H1 =H2 O A. Ho: H1 =H2 H:H1> H2 OC. Ho: H1 = H2 H1: H1 # H2 O D. Ho: H1 # H2 H: H1Use technology to construct the confidence intervals for the population variance σ2 and the population standard deviation σ. Assume the sample is taken from a normally distributed population. c=0.95, s=36, n=18 The confidence interval for the population variance is (____,____) (Round to two decimal places as needed.) The confidence interval for the population standard deviation is (____,____). (Round to two decimal places as needed.)Treatment Sham 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 u 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. H1 H2 In 10 10 0.56 0.37 0.97 1.45 O B. Ho: H1 + H2 O A. Ho: H1 = H2 H1: H1 # H2 H1: H1 H2 H1: H12 H2 The test statistic, t, is|. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. V the null hypothesis. There V sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. Is it valid to argue that magnets might appear to be effective if the…
