Show development for the solution If the confidence level is 95%, find the critical t value for n = 15 (using the z distribution table). a) for one tail and b) two tails
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Show development for the solution
If the confidence level is 95%, find the critical t value for n = 15 (using the z distribution table).
a) for one tail and
b) two tails
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- learn.zybooks.com ne Submission ... D2L. 6-2 Participation Activities: Con... Z 5.2 MAT 240: Applied Statistics | Iza dStatistics home > 6.2: Confidence intervals for population means CHALLENGE 6.2.1: Confidence intervals for population means. ACTIVITY 389226.2543846.qx3zqy7 Jump to level 1 The additional growth of plants in one week are recorded for 11 plants with a sample standard deviation of 2 inches and sample mean of 10 inches. t* at the 0.05 significance level = Ex: 1.234 Margin of error = Ex: 1.234 Confidence interval = [ Ex: 12.345 Ex: 12.345 1 [smaller value, larger value] 1. Check Next Feedi 6.2.2: Relating confidence intervals to hypothesis testing (one sample). 16. qx3zqy7 Jump to level 1 n auto maker is interested in information about how long transmissions last. A sample of transmissions a onstantly and the number of miles before the transmission fails is recorded. The auto maker claims that th ansmissions can run constantly for over 150,000 miles before failure. The…Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t,/2. (b) find the critical value za/2. or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 90%, a= 3710 thousand dollars, and the histogram of 59 player salaries (in thousands of dollars) of football players on a team is as shown. ó 4000 8000 12000 16000 2000 Salary (thousands of dollars) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. /2= (Round to two decimal places as needed.) O B. Za/2= (Round to two decimal places as needed.) OC. Neither the normal distribution nor the t distribution applies.Round answers to 3 decimal places. Find a 99% confidence interval on each of the following: a) intercept b) slope c)mean length when x=1400 d)find a 99% prediction interval on length when x=1400
- Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test Ho : HA = Ha VS H. : HA # Hg using the fact that Group A has 8 cases with a mean of 125 and a standard deviation of 18 while Group B has 15 cases with a mean of 118 and a standard deviation of 14. (a) Give the test statistic and thep-value. Round your answer for the test statistic to two decimal places and your answer for the p- value to three decimal places. test statistic = p-value = eTextbook and Media (b) What is the conclusion of the test? Test at a 10% level. O Reject Ho. O Do not reject Ho. eTextbook and MediaUse the t-distribution to find a confidence interval for a difference in means y, - M, given the relevant sample results. Give the best estimate for 41 - M2, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed. A 99% confidence interval for My - A using the sample results x1 = 546, S, = 117, m, = 340 and X2 = 451,52 = 90, M2 = 200 Enter the exact answer for the best estimate and round your answers for the margin of error and the confidence interval to two decimal places. Best estimate = Margin of error = Confidence intervalAssume that we want to construct a confidence interval. Which letter is correct? The confidence level is 99%, σ=3624 thousand dollars, and the histogram of 60 player salaries (in thousands of dollars) of footbal players on a team is as shown. a) find the critical value tα/2 b) find the critical value zα/2 c) neither the normal distribution nor the t distribution applies.
- The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value of α from the two-tail area row. The critical values are the ±t values shown. A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.11 years, with sample standard deviation s = 0.77 years. However, it is thought that the overall population mean age of coyotes is μ = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use α = 0.01. Solve the problem using the critical region method of testing (i.e., traditional method). (Round…pls. answer using 7 steps:-Parameter of interest-Null hypothesisAlternative hypothesis -Test statistic -Reject H0 if: -Computations: -ConclusionHeights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133133 to 190190 cm and weights of 3737 to 150150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x overbarxequals=168.08168.08 cm, y overbaryequals=81.5781.57 kg, requals=0.3130.313, P-valueequals=0.0020.002, and ModifyingAbove y with caretyequals=negative 108−108plus+1.121.12x. Find the best predicted value of ModifyingAbove y with carety (weight) given an adult male who is 169169 cm tall. Use a 0.050.05 significance level. The best predicted value of ModifyingAbove y with carety for an adult male who is 169169 cm tall is (answer) kg. (Round to two decimal places as needed.)
- The pulse rates of 176 randomly selected adult males vary from a low of 40 bpm to a high of 116 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 95% confidence that the sample mean is within 2 bpm of the population mean. Assume that o= 10.1 bpm, based on the value s = 10.1 bpm from the sample of 176 male pulse ratesFind the critical t value that corresponds to 95% confidence, Assume 29 degrees of freedom (two tailed) Round to 3 decimalsHeights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 131131 to 194194 cm and weights of 4141 to 150150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x overbarxequals=167.50167.50 cm, y overbaryequals=81.4381.43 kg, requals=0.4180.418, P-valueequals=0.0000.000, and ModifyingAbove y with caretyequals=negative 105−105plus+1.191.19x. Find the best predicted value of ModifyingAbove y with carety (weight) given an adult male who is 150150 cm tall. Use a 0.100.10 significance level. The best predicted value of ModifyingAbove y with carety for an adult male who is 150150 cm tall is nothing kg. (Round to two decimal places as needed.)
