The melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in 7 = 94.32 Fahrenheit. Assume that the distribution of melting point is normal with = 1.20. Perform a six-step hypothesis test for Ho : μ = 95 versus H₁ : ## 95 using a two-tailed level = 0.01 test.
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- Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to190 cm and weights of 39to150kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x̄ =167.89 cm, ȳ = 81.55kg, r=0.414, P- value=0.000, and ŷ =−103+1.04x. Find the best predicted value of ŷ (weight) given an adult male who is184 cm tall. Use a 0.05 significance level. The best predicted value of ŷ for an adult male who is 184 cm tall is ___kg.The average age for licensed drivers in a county is µ = 41.6, σ = 12, and the distribution is approximately normal. A county police officer was interested in whether the average age of drivers receiving speeding tickets differed from the average age of the driving population. She obtained a sample of N = 16 drivers with speeding tickets. The average age for this sample was M = 34.4 and alpha = 0.05. calculate statistical power for this study.Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 132 to 190 cm and weights of 41 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.40 cm, y=81.39 kg, r=0.172, P-value=0.087, and y=−103+1.02x. Find the best predicted value of y (weight) given an adult male who is 143 cm tall. Use a 0.10 significance level. The best predicted value of y for an adult male who is 143 cm tall is enter your response here kg. (Round to two decimal places as needed.)
- Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 134 to 194 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.78 cm, y=81.45 kg, r=0.372, P-value=0.000, and y=−101+1.11x. Find the best predicted value of y (weight) given an adult male who is 145 cm tall. Use a 0.05 significance level. The best predicted value of y for an adult male who is 145 cm tall is enter your response here kg. (Round to two decimal places as needed.)Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133 to 188 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.80 cm, y=81.36 kg, r=0.286, P-value=0.004, and y=−108+1.19x. Find the best predicted value of y (weight) given an adult male who is 138 cm tall. Use a 0.10 significance level.The desired percentage of Sio, in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of Sio, in a sample is normally distributed with o = 0.32 and that x = 5.23. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. Ho: u = 5.5 Hg: µ 2 5.5 Ho: H = 5.5 HaiH 5.5 = Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average percentage differs from the desired percentage. O Reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the…
- FURC’s security officer set up the standard µ = 60 minutes and σ = 3.0minutes to complete the campus security round by a guard during the night duty. One day security officer observed that a guard hascompleted five rounds on average in 56 minutes. Set up a hypothesis and alternative hypothesis and perform the test at the 5% level.On March 2005, a poll surveyed 535 adults aged 18 years old or older and asked “ Do you think there is life on other planets or not?. Of the 535, 326 responded yes. same question was asked on September3,2000, 385 of the 535 individuals surveyed said yes. Can you conclude that the proportion has decreased at alpha = 0.05 level of significance.The desired percentage of SiO₂ in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO₂ in a sample is normally distributed with = 0.32 and that x = 5.23. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. O Ho: μ = 5.5 H₂:μ> 5.5 O Ho: μ = 5.5 H₂: μ = 5.5 ⒸHO: μ = 5.5 H₂:μ ≥ 5.5 O Ho: μ = 5.5 H₂: μ< 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true verage percentage differs from the desired percentage. O Reject the null hypothesis. There is not sufficient evidence to…
- Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 189 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.70 cm, y=81.43 kg, r=0.324, P-value=0.001, and y=−101+1.06x. Find the best predicted value of y (weight) given an adult male who is 151 cm tall. Use a 0.10 significance level. Question content area bottom Part 1 The best predicted value of y for an adult male who is 151 cm tall is enter your response here kg. (Round to two decimal places as needed.)A sample of n sludge specimens is selected and the pH of each one is determined. The one-sample t test will then be used to see if there is compelling evidence for concluding that true average pH is less than 7.0. What conclusion is appropriate in each of the following situations? USE SALT (a) n = 8, t= -2.8, a = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. (b) n = 15, t= -3.5, a = 0.01 O Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. O Do not…An SRS of n = 20 observations is collected from a normal population to test H0 ∶ µ = 15 against Ha ∶ µ ≠ 15. If the t-statistic for this test is t = -2.06, which of the following is true? A. 0.01 < P-value < 0.025 B. 0.05 < P-value < 0.25 C. 0.025 < P-value < 0.05 D. 0.25 < P-value E. 0.0 < P-value < 0.01