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- The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by the normal distribution, as shown in the figure to right. the (a) What is the largest annual per capita consumption of ice cream that can be in the bottom 9% of consumptions? (b) Between what two values does the middle 80% of the consumptions lie? UN H=19.8 4.3 8 20 32 Consumption (in lbs)Find the proportion of Normally distributed observations with a z-score below 0.82. Give your answer to four decimal places. Find the proportion of Normally distributed observations with a z-score above -2.84. Give your answer to four decimal places. Find the proportion of N.d. observations with a z-score between z1= -2.58 and z2= 3.18. Give your answer to four decimal places.What proportion of a normal distribution is located between each of the following z-score boundaries? z = -0.50 and z = +0.50 z = -0.90 and z = +0.90 z = -1.50 and z = +1.50
- Identify if its true or false The mean, median and mode of normal distribution are NOT necessarily equal.Sunscreens are products that protect the skin from skin cancer by preventing the sun's ultraviolet (UV) radiation from penetrating the skin. According to dermatologists, the recommended amount of sunscreen needed to cover the exposed areas of the body is at least an ounce. In a study conducted specifically for a group of women aged 21 to 30 years, it was found the amount of sunscreen (X) applied by the group follows the normal distribution with mean of 0.6 ounce and standard deviation of 0.25 ounce. About ___% of the women aged 21 to 30 years is applying 0.1 to 1.1 ounce of4. Which proportion of a normal distribution is located between the mean and z = +1.40? 5. A vertical line drawn through a normal distribution at z = +2.11 separates the distribution into two sections, the body and the tail. Which proportion of the distribution is in the tail?
- The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?In a normal distribution ,Average mean =225 St deviation = 40 Find percentage between 145 and 305For a normal distribution with a mean of 371 and 28, what is the z-score that marks off scores below 345? Round your answer to 2 decimal places.
- In a bell-shaped, normal distribution, a. mode = 0 b. median > mean c. median < mean d. median = meanThe average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty year-olds have fewer cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 3, 4, 4, 4, 5, 5, 6, 4, 5, 4, 3, 5, 6, 5, 3 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v|| Select an answer H: ?v Select an answer v c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 5 at o =- 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for…Please answer 7-8 only, show your complete solution and dont use excel