Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and nɔ. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). Ha: H1
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- You may need to use the appropriate technology to answer this question A sample of nie days over the past six months showed that a dentist treated the following numbers of patients at his dental clinic: 21, 24, 19, 18, 15, 21, 23, 18, and 26. If the number of patients sen per day is normally distributed, would an analysis of these sample data reject the hypothesis that the variance in the number of patients se per day is equal to 10? Use a 0.10 level of significance State the null and alternative hypotheses 0²10 Ha² 10 0²10 <10 0-10 H₂² 10 0²10 H 103 010 H30 Find the value of the test statistic (Hind your answer to three decimal places) Find the value (snd your awer to four decimal places) produ b State your cohesion Reject We can conclude that the variance in the munber of patients seen per ilay is not equal to 10. De not reject H W cen conclude that the variance in the number of pats seen per day of equal to 10 Od ni reject. We capot conclude that the vartance in the number of…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 34 34 x 0.79146 lb 0.81544 lb s 0.00437 lb 0.00752 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≠ The test statistic, t, is ______.(Round to two decimal places as needed.) B. Construct a confidence interval…Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and n2. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). %3D Ha: 12, a=0.02, n, = 15, n2 =8 (a) Find the critical value(s) assuming that the population variances are equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) (b) Find the critical value(s) assuming that the population variances are not equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Next 2:15 PM 66°F Mostly cloudy ^ ED a 0 P Type here to search 11/22/2021 Inser 四 F6 PrtSc F3 F4 F5 F7 F8 F9 F10 F11 F12 F2 23 %24 & 3. 4 6. 7. 8 + II 团 5
- Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.A) find the critical value(s) assuming that the population variances are equal . B) Find the critical value (s) assuming that they population variances are not equal.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 28 28 x 0.79741 lb 0.81023 lb s 0.00442 lb 0.00749 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 nothing.…
- A researcher wants to select a sample from a population with a mean (µ)= 60 and administer a treatment to individuals in the sample. He thinks the treatment will help improve scores. a. State the hypotheses for a one-tailed test. b. For a one-tailed test, would the critical region be located in the positive or right-hand tail of the distribution, or in the negative or left-hand tail of the distribution?The data used in the creation of the frequency table given below have been chosen to represent a continuous random variation by random sampling method. The random variable X represents the daily usage hours of tractors of a certain brand and engine power used in the agricultural sector. grp range grp limits grp midpoint Frequency 1-3 4 - 6 11th 7-9 14 10 - 12 13 - 15 16 - 18 a) Calculate the mean, median, mode, and variance values for the data using the table. 3,Test the claim about the population variance o at the level of significance a. Assume the population is normally distributed Claim: o? s 19.4; a = 0.10 Sample statistics: s? = 25.78, n= 51 Write the null and alternative hypotheses. Họ: o? Hai o? Find the critical value(s) and determine the rejection region. Select the correct and below and fill in the corresponding answer box(es) to complete your choice. (Round to three decimal places as needed.) O A. X? O B. x² OC. X: OD.13A researcher takes sample temperatures in Fahrenheit of 16 days from Miami and 14 days from Atlanta. Use the sample data shown in the table. Test the claim that the mean temperature in Miami greater than the mean temperature in Atlanta. Use a significance level of α=0.10α=0.10.Assume the populations are approximately normally distributed with unequal variances.Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs. Miami Atlanta 68.3 73.6 83.1 69.3 79.1 54.9 72 81.1 72.8 78.6 83.3 54 82.7 36.1 80.7 44.3 87 58.4 83.1 50.8 77.4 60.5 86.1 61.2 76.3 46.8 74.5 54.4 83.3 78.5 The Null Hypotheses is: H0: μ1 - μ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.)HA: μ1 - μ2 Based on these hypotheses, find the following. Round answers to 4 decimal places. Test Statistic = p-value = The p-value is The correct…A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =SEE MORE QUESTIONS