Activity 2. Read and analyze the given problem. Identify the parameters to be tested on real-life problem. State the null and alternative hypothesis. Write your answer on the answer sheet provided. 1. The average height of grade 11 female students is 158.2 cm. The mean height of a sample of 100 female students is 160 cm with a standard deviation of 6 cm. Parameter: Ho: H₁: 2. The net weight of a packet of a snack brand is 130 g. A sample of 80 packs yielded a sample mean weight of 112 g with standard deviation of 15 g. Parameter:
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- Suppose a researcher wants to see if the proportion of college educated adults is higher in New York compared to Florida. The researcher randomly samples 500 adults in New York and found that 196 had a college education, while a random sample of 600 adults in Florida found that 227 had a college education.At the 0.05 level of significance, does the data provide evidence to suggest the proportion of college educated adults is higher in New York than Florida? Step 1: Define the parameter & setup the testStep 2: State the Level of SignificanceStep 3: Find the value of the Test StatisticsStep 4: Find P-Value OR Find Critical ValueStep 5: State Conclusion and whypart 3 question *3* A physician claims that joggers' maximal volume oxygen uptake is greater than the average of all adults, which is 36.7 ml/kg. A sample of 35 joggers has a mean of 40.6 milliliters per kilogram (ml/kg) and a standard deviation of 6 ml/kg. Is there enough evidence to support the physician's claim using α=0.05 ?Question A - A company producing steel nails receives an order for 5000 nails of length 50 mm. Due to externalfactors such as temperature and pressure, the lengths of the nails produced by the machine is normallydistributed with a standard deviation of 1.6 mm. Acceptable lengths (lengths that any customer willconsent to buy) must have a tolerance of 2 mm. If the machine is set to produce nails with a meanlength of 5.0 cm, determine the percentage of nails that are acceptable. A. 0.7888 / B. 0.8877 / C. 0.9921 / D. 0.7878 Further to the information provided in question A above, we are informed that nails produced thatare shorter than the minimum acceptable length have to be scrapped. Consider that 4.8cm is still theminimum threshold for acceptable nail length. If the cost to produce one nail is 45 cents, how muchdoes the company incur in Rand losses due to scrapping? A. R247.70 / B. R347.91 / C. R237.60 / D. R471.99 Further considering information given in questions A and question B, if…
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- As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle—the farthest a subject is able to lean and still recover in one step—was determined for both a sample of younger females (21–29 years) and a sample of older females (67–81 years). The following observations are consistent with summary data given in the article: YF: 28, 34, 32, 27, 28, 32, 31, 35, 32, 28 OF: 19, 14, 21, 13, 12 Does the data suggest that true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF)? State and test the relevant hypotheses at significance level 0.10. (Use ?1 for younger females and ?2 for older females.) H0: ?1 − ?2 = 10Ha: ?1 − ?2 > 10H0: ?1 − ?2 = 10Ha: ?1 − ?2 < 10 H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0 Calculate the test statistic and determine the P-value. (Round your test…As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle—the farthest a subject is able to lean and still recover in one step—was determined for both a sample of younger females (21–29 years) and a sample of older females (67–81 years). The following observations are consistent with summary data given in the article: YF: 28, 34, 32, 27, 28, 32, 31, 35, 32, 28 OF: 19, 14, 21, 13, 12 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value =Determine the: a) Mode b) Mean c) MAD d) Standard Deviation from these data: 2.3 2.2 2.3 2.1 2.1 2.9 and 2.7
- Consider the following service system. a) The average inter-arrival time is 10 minutes, and the standard deviation of the inter-arrival time is 10 minutes. b) The average processing time is 5 minutes with the standard deviation of the processing time being 6 minutes. What is the Demand of the process in [customers/minute]? What is the Flow rate of the process in [customers/minute]?If Elliot collects data from a single sample and her dependent variable is assessed on a nominal scale, which of these difference tests would Elliot need to use to analyze her data? A. a single-sample t test B. a single-sample z test C. a between-subjects ANOVA D. a chi-square goodness-of-fit testSelect the answer that fits each description. Study to investigate whether more students with hazel eyes major in biology than expected A. T-test independent samples B. T-test dependent samples C. One-way ANOVA D. Correlation O E. Chi-square F. Simple Regression