A student earned a 79 on a precalculus exam, and she earned a 92 on a statistics exam. The precalculus exam had a mean score of 72.3 with a standard deviation of 8.4. On the other hand, the statistics exam had a mean score of 87.4 with a standard deviation of 11.4. Determine which exam the student earned a better score on with respect to her peers.
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A student earned a 79 on a precalculus exam, and she earned a 92 on a statistics exam. The precalculus exam had a
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- The Jimmy John’s store manager on Hwy. 46 wanted to know more about their customers. She decides to focus on two variables: the average ticket spent by customers, and whether customers would consider purchasing ice cream if it was available. She interviewed 54 customers over a two-week period. Results of her research showed average ticket was $10.89 with a standard deviation of $2.35. Twenty-two customers said they would purchase ice cream if it was available. INCLUDE EXCEL EQUATIONS. Assume the store manager wants to conduct a similar survey at the National Road store. Answer the following questions: c. What sample size is needed to have 95% confidence of estimating the population average ticket in this store to within plus/minus $1.00 if the standard deviation is assumed to be $2.35? d. How many customers need to be selected to have 90% confidence of estimating the population proportion who would consider purchasing ice cream plus/minus 0.10 (10%)?In a recent study, the serum cholesterol levels in men were found to be normally distributed with a mean of 196.7 and a standard deviation of 39.1. Units are in mg/dL. Men who have a cholesterol level that is in the top 2% need regular monitoring by a physician. What is the minimum cholesterol level required to receive the regular monitoring? Round answer to the nearest whole number.Use the range rule of thumb to identify the values that are significantly low, the values that are signficantly high, and the values that are neither significantly low nor significantly high. A test is used to assess readiness for college. In a recent year, the mean test score was 20.5 and the standard deviation was 5.1. Identify the test scores that are significantly low or significantly high
- The U.S. Department of Agriculture claims that the mean consumption of bottled water by a person in the United States is 28.5 gallons per year. A random sample of 100 people in the United States had a mean bottled water consumption of 27.8 gallons per year with a standard deviation of 4.1 gallons. Does this sample indicate that the mean annual consumption of bottled water for people in the United States is not 28.5 gallons per year? (Reference: U.S. Department of Agriculture) At a 5% level of significance, what is the power of this test against the alternative μ= 27.4? (For this problem only, assume that the standard deviation of the population (i.e. sigma) is 4.1) O 77% 5% 85% 0.90%The average McDonald's restaurant generates $3.1 million in sales each year with a standard deviation of 0.4. Micah wants to know if the average sales generated by McDonald's restaurants in Maryland is different than the worldwide average. He surveys 19 restaurants in Maryland and finds the following data (in millions of dollars):2.8, 3.2, 3.8, 4.2, 3.5, 3.2, 3.6, 3.2, 2.7, 3.1, 2.5, 3.2, 3.7, 3.5, 3.9, 3.9, 2.5, 2.9, 2.8Perform a hypothesis test using a 9% level of significance.Step 1: State the null and alternative hypotheses.H0:H0: Ha:Ha: (So we will be performing a test.)Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are with distribution mean and distribution standard deviation .Step 3: Find the pp-value of the point estimate.P(P( )=P()=P( )=)=pp-value==Step 4: Make a Conclusion…The tallest living man at one time had a height of 244 cm. The shortest living man at that time had a height of 92.3 cm. Heights of men at that time had a mean of 174.73 cm and a standard deviation of 6.23 cm. Which of these two men had the height that was more extreme?
- A manufacturer claims that the mean lifetime of its lithium batteries is 1400 hours. A homeowner selects 35 of these batteries and fınds the mean lifetime to be 1370 hours with a standard deviation of 70 hours. Test the manufacturer's claim. Use a = =0.05. Test Statistic Round to thousandths place. %3D P-Value = Round to thousandths place. Decision: Write 'Reject' or 'Fail to Reject'The Acme Company manufactures widgets. The distribution of widget weights is bell shaped. The widget have a mean of 40 ounces and a standard deviation of 10 ounces. What percentage of the widget weights lie between 20 and 70 ounces?the mean (and standard deviation) snowfalss for two cities are noted below. Ottawa : Mean=98 inches per year, s=25 inches Bostone: mean= 44 inches per year, s=17 inches In 2018, ottawa recieve 119 inches of snowfall, while boston recored 62 inches. What city had a worse winter in 2018 relative to its average?
- According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?A luxury furniture manufacture will make custom furniture for their customers. Pricing is based on the number of hours of skilled labor it takes to make a piece. The time it takes to make a custom couch is normally distributed with an average of 280 hours and a standard deviation of 40 hours. What percent of custom couches take 255 hours or less to make? How long would it take to build a couch that is in the 95th percentile?The question is attached in an image.
