A company claims that each bag of pretzels weighs 11.3 oz. A sample of 37 bags was weighed. The mean weight of these bags was 11.05 oz, with a standard deviation of Test the hypothesis at a 5% level of significance.
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Q: Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean…
A: The detailed solution is as follows below:
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- 280 men are found to have an average pulse rate of 73 (beats per minute) with standard deviation 5.4, and 240 women are found to have an average pulse rate of 72 (beats per minute) with standard deviation 7.7. A researcher is interested in whether, on average, men have higher pulse rates than women. What is the most appropriate test for the researcher to use? A. chi-square test B. z-test for the difference between two proportions C. paired sample t-test D. two sample t-testThe average length of a phone call for cell phone users in the United States is 8.4 minutes, with standard deviation 2.4 minutes. If you were to take a random sample of 40 cell phone users in US, what is the standard deviation of the sampling distribution?An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140lb and 181lb. The new population of pilots has normally distributed weights with a mean of 150 lb and a standard deviation of 34.8 lb.
- The president of a college wants to determine the mean number of units that college students take per semester. How large of a sample is required in order to be 99% sure that a sample mean will be off by no more than 1.25 units? An initial study suggested that the standard deviation is approximately 2.1 units.The mean cholesterol level for females in a population is 200 with a standard deviation of 25. Samples of size 64 are drawn from the population. A. What is the mean of the sample means? B. What is the standard error of the sample means?A fruit grower wants to test a new spray that a manufacturer claims will reduce the loss due to insect damage. She sprays 20 trees with the new spray and 20 trees with the standard spray. The following data were recorded: New Spray Standard Spray Mean yield per tree(lb) 240 227 Standard deviation 31.3 28.6 Do the data provide evidence that the new spray increases the yield per tree?
- Companies who design furniture for elementary school classrooms produce a variety of sizes for children of different ages. Suppose the heights of kindergarten children are normally distributed with a mean of 97 cm and a standard deviation of 4.9 cm. What proportion of kindergarten children should the company expect to be less than 91 cm tall?A sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used 18 adult male volunteers. These volunteers were randomly divided into two groups of nine men each. Group 1 kicked a football that was filled with helium to the recommended pressure. Group 2 kicked a football that was filled with air to the recommended pressure. The mean yardage for Group 1 was ?¯1=300 yards with a standard deviation of ?1=8 yards. The mean yardage for Group 2 was ?¯2=296 yards with a standard deviation of ?2=6 yards. Assume the two groups of kicks are independent. Let ?1 and ?2 represent the mean yardage we would observe for the entire population represented by the volunteers if all members of this population kicked, respectively, a helium‑filled football and an air‑filled football. Assuming two‑sample ? procedures are safe to use and using Option 1 for the degrees of freedom, a 90% confidence interval for ?1−?2 is:…A hospital is trying to cut down on emergency room wait times. It is interested in the amount of time patients must wait before being called back to be examined. An investigation committee randomly surveyed 70 patients. The sample mean was 1.5 hours with a sample standard deviation of 0.5 hours. How many degrees of freedom are in the sample?
- A newspaper article noted that the mean life span for 35 male symphony conductors was 73.2 years with a standard deviation of 8.7 . Males in the general population have a mean life span of 69.5 years. Use a 0.05 significance level to test the claim that male symphony conductors have a mean life span that is greater than 69.5 years. a. Define the parameter A. mu = The mean life span of the 35 male symphony conductors in the sample B. p = The proportion of all male symphony conductors who life more than 69.5 years C. mu = The mean life span of all male symphony conductors D. mu = The mean life span of all males b. State the null and alternative hypotheses A. Upper H 0 : mu equals 73.2 Upper H 1 : mu greater than 73.2 B. Upper H 0 : mu equals 69.5 Upper H 1 : mu greater than 69.5 C. Upper H 0 : mu greater than 69.5 Upper H 1 : mu equals 69.5 D. Upper H 0…It is said that a person’s height changes from morning to night, possibility in response to gravity compressing the spinal columns and the joints in the legs. The height of 14 persons (an equal number of men and women) were measured in the morning and at night and it was discovered that the average height in the morning was 1.750 m and 1.735 m. The mean change in height was 1.5 cm with a sample standard deviation of 3 cm. Any height change in the human population is known to be distributed normally. Is it correct to say that the true average change in height from morning to night is 2.5 cm with a significance level of 0.1)?The standard deviation of a sample is 3.0 and the standard error is -16.52, what was the original sample size?