The specifications for a certain kind of ribbon call for a mean breaking strength of 185 pounds. If five pieces randomly selected from different rolls have breaking strengths of 171.6, 191.8, 178.3, 184.9, and 189.1 pounds, test the null hypothesis µ = 185 pounds against the alternative hypothesis µ not- of significance. 185 pounds at the 0.1 level
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- An Internet service provider is interested in testing to see if there is a difference in the mean weekly connect time for users who come into the service through a dial-up line, DSL, or cable Internet. To test this, the ISP has selected random samples from each category of user and recorded the connect time during a week period. The following data were collected. Click the icon to view the ISP data. Assuming that the test is to be conducted at a 0.01 level of significance, what would the critical value be for this test? ISP data Dial Up 19.2 17.7 17.2 18.9 26.9 22.6 31.2 DSL 40.6 40 41.5 30.5 46.8 Cable 39.5 42.3 47 45.4 41.1 43.2 39.9 41.9 49.3 XA paint manufacturer wishes to compare the drying times of two different types of paint. Independent random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces. The drying times (in hours) were recorded. The summary statistics are given in the image below. Use a 0.01 significance level to test the claim that the mean drying time for paint type A is longer than the mean drying time for paint type B. Find each: a) Set up (including Null and Alternative Hypothesis) b) Test Statistic c) P-value d) Conclusion (reject or accept H0).A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream? A A two-sample t-test for a difference between means B C D E A chi-square test of independence A linear regression t-test for slope A two-sample z-test for a difference between proportions A matched pairs t-test for a mean difference S
- B.) Find the critical? value(s) and identify the rejection? region(s). C.) Find the standardized test statistic. D.) Decide whether to reject or fail to reject the null hypothesis. E.) Interpret the decision in the context of the original claim.1) Is the test significant? A. Unable to determine B. No, p = .448 C. Yes, p = <. 001 D. Yes, p = .448 2) In order to determine where the main mean differences lie, the researcher would also need to conduct a ____? A. Correlation B. MANOVA C. post-hoc analysis D. t-testIn a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 70 write with their left hands and 444 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.
- The average family size was reported as 7.2. A random sample of families in a particular school district resulted in the following family sizes: Size 4 9. 8. 4 8 9 At 1% level of significance, does the average family size different from the national average? Use traditional way of testing hypothesis. a. Mean family size of the sample: b. Sample variance: ct Test Value: d. Summarize your Interpretation: 4)Allison's soccer penalty kick speeds vary uniformly between 57 and 78 miles per hour. Round answers to four decimal places. a) What is Allison's average penalty kick speed? b) What proportion of Allison's penalty kicks are faster than 70 miles per hour? [ c) What is the 3rd quartile of the distribution of Allison's penalty kick speeds? d) What is the variance of Allison's penalty kick speeds? e) What is the specific speed that is exceeded by only 11% of Allison's penalty kick speeds? 1) What is the probability that the speed of one of Allison's randomly selected penalty kicks is between 62 and 66 miles per hour?Q: The dataset (provided below this question) lists the ages of customers at 5 different coffee stores in a major metropolitan city. At the 1% significance level, is there evidence of a difference in the population mean ages between the customers at the five stores. Note: Please only provide the t stat, p-value and the appropraite lower, upper, or two tailed test critical value. Ages of customers in 5 different coffee stores STORE A STORE B STORE C STORE D STORE E 30 33 18 27 34 29 27 32 28 25 21 19 35 27 20 20 40 36 36 45 33 28 15 27 28 29 42 35 29 43 33 34 33 18 35 32 14 23 16 45 8 37 29 18 14 41 23 35 30 28 18 37 40 41 35 21 29 26 38 56 37 41 43 29 33 41 29 23 36 41 39 20 47 29 28 26 25 27 28 32 44 38 40 32 20 14 27 48 42 37 33 38 37 29 31 27 42 41 32 8 35 35 17 26 29 8 23 51 16 13 26 42 36 29 47 20 33 37 38 28 28 16 30 35 47 40 44 42 34 32 22 30 16 26 24 31 35 32 35 23 30 10 22 26 18…
- Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 μg/g. 2.95 6.46 6.00 5.46 20.49 7.51 12.02 20.45 11.50 17.54 Identify the null and alternative hypotheses. Ho H₁: (Type integers or decimals. Do not round.)A food distribution company claims that a restaurant chain receives, on average, 26 pounds of fresh vegetables on a daily basis. The standard deviation of these shipments is known to be 4.4 pounds. The district manager of the restaurant chain decides to randomly sample 35 shipments from the company and finds a mean weight of 24.7 pounds. Test at a 3% level of significance to determine whether or not the food distribution company sends less than 26 pounds of fresh vegetables. a. Check the TWO requirements that are satisfied. The Central Limit Theorem applies. The a distribution is normal since n > 30. The a distribution is normal since the x distribution is normal. The p distribution is normal since np > 5 and nq > 5.The summary statistics below are prices of three types of men's shoes: Dress: size = 7 ; mean = 106 and standard deviation = 73 %3D Casual: size = 5; mean = 97 and standard deviation = 23 %3D Mocassins: size = 4; mean = 73 and standard deviation =13. Can Bonferroni method be used at a 0.05 significance level to test the claim that the population means for Dress shoes and Casual shoes are significantly different? Justify your answer. 5:39 pm
