1. It is claimed that the average weight of a bag of biscuits is 250 grams with a standard deviation of 20.5 grams. Would you agree to this claim if a random sample of 50 bags of biscuits showed an average weight of 240 grams, using a 0.05 level of significance? A ran
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- A survey found that women's heights are normally distributed with mean 62.3 in. and standard deviation 2.6 in. The survey also found that men's heights are normally distributed with mean 68.7 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? %. The percentage of men who meet the height requirement is (Round to two decimal places as needed.)a. What is the approximate percentage of women with platelet counts within 1 standard deviationof the mean, or between196.2 and 326.8? b. What is the approximate percentage of women with platelet counts between 130.9and 392.1?A survey found that women's heights are normally distributed with mean 63.6 in. and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 67.7 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.) Since most men the height requirement, it is likely that most of the characters are b. If the height re jed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? meet The new height r imum of in. and a maximum of in. do not meet (Round to one de d.)
- 2. The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250 ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then finds the mean capacity to be 248 ml. The standard deviation is 5 ml. Is the claim true?i need C and D3. The braking distance for a Krazy-Car traveling at 50 mph is normally distributed with a mean of 50 ft. and a standard deviation of 5 ft. Answer the following without using a calculator or a table. • What is the likelihood a Krazy-Car will take more than 65 ft. to stop? • What is the probability a Krazy-Car will stop between 45 ft. and 55 ft.? • What percent of the time will a Krazy-Car traveling at 50 mph stop between 35 and 55 ft.? • What is the probability a Krazy-Car will require less than 50 ft. or more than 60 ft. to stop?
- 4. The weights of oranges in a harvest are normally distributed, with a mean weight of 150 grams and standard deviation of 10 grams. Calculate the z-score for an orange weighing a. 160 grams b. 135 grams Round your answers to one decimal place.b. In a class of twenty-five 15-year old girls the average height is M = 62.60 inches. The national average for girls at this age is reported as follows: µ = 63.80 inches with a standard deviation, s = 2.66 inches. Compute z score3. The average height of a male student in the EDA class of Engr. Ventura in PLM has historically been 1.625 meters with a standard deviation of 0.07 meter. Is there a reason to believe that there has been a change in the average height of male EDA students under Engr. Ventura if a random sample of 50 males in the present EDA class has an average height of 1.652 meters? Assume the standard deviation remains the same.
- A survey found that women's heights are normally distributed with mean 63.9 in. and standard deviation 3.5 in. The survey also found that men's heights are normally distributed with mean 69.2 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 63 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is % (Round to two decimal places as needed.)Suppose that a distribution of 300 items has mean 120 and standard deviation 4. Find the z-score of the item x = 126. Z= (Type an integer or decimal rounded to the nearest tenth as needed.)Consider a data set that has a mean of 16.8 and a standard deviation of 5.6. According to Chebyshev's Theorem, give an interval that has at least 93.75% of the data.