If we take samples of size 110 from a population with proportion 0.39, comment on whether the sampling distribution follows a normal distribution. Explain.

Explain why a distribution with median M=​82, mean=​71, and standard deviation σ=11 cannot be a normal distribution. Choose the correct answer below.     A. The mean is not equal to the median.   B. The mean is not equal to the standard distribution.   C. The median is not equal to the standard distribution.   D. The median is within one standard distribution of the mean.

4. 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?

Find the proportion of Normally distributed observations with a z-score above 0.80. Give your answer to four decimal places. Find the proportion of N.d. observations with a z-score between z1​= -0.34 and z2​= 2.72. Give your answer to four decimal places.

The average number of cavities that thirty-year-old Americans have had in their lifetimes is 8.  Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 11, 7, 6, 12, 8, 9, 10, 11, 10, 6, 8, 10, 10 What can be concluded at the αα = 0.10 level of significance? The null and alternative hypotheses would be: Please provide number      H0:H0: mean =  __?__  H1:H1:  mean not equal to  __?__   The test statistic t =  __?__(please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.)

The average number of words in a romance novel is 64,289 and the standard deviation is 17,272. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.b. Find the proportion of all novels that are between 62,562 and 79,834 words. ________________c. The 85th percentile for novels is  words. (Round to the nearest word) ________________d. The middle 70% of romance novels have from _______ words to _______ words. (Round to the nearest word)

1. Comment on the shape of the distribution. 2. Use the empirical rule to state the percentage of annual sales between 1255 and 9181(millions of dollars) 3. Based on the z score, is the highest sale, $14138 (in millions) an outlier? Explain

The 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…

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2.  Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 2.1, 3.4, 1.9, 3, 2.5, 2.6, 0.2, 3.4, 1.2, 1.7, 3, 1, 0.2 What can be concluded at the αα = 0.05 level of significance?  For this study, we should use     The null and alternative hypotheses would be:       H0:H0:                  H1:H1:              The test statistic     = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 11 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 3.2, 0, 0, 0, 3.2, 3.2, 1.1, 0.8, 0.5, 1.3, 3.5 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use b. The null and alternative hypotheses would be: Select an answer Ho: Select an answer O H1: Select an answer O c. The test statistic ? 0 = (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 ? e a f. Based on this, we should Select an answer e the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly less than 2 at a = 0.05, so there is sufficient evidence…