Find the z-score that separates a normal distribution into the following two portions. (a) separate the lowest 80% from the highest 20% (b) separate the lowest 90% from the highest 10% (c) separate the lowest 15% from the highest 85%

A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a = 0.05 level of significance. Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. B. Ho: The distribution of colors is not the same as stated by the manufacturer. : The distribution of colors is the same as stated by the manufacturer. Hyi O C. None of these.

K Students in an experimental psychology class did research on depression as a sign of stress. A test was administered to a sample of 30 students. The scores are shown below. 43 51 11 90 77 36 64 37 42 72 54 62 36 75 51 72 37 28 38 61 47 63 36 41 22 37 51 46 85 13 To find the 10% trimmed mean of a data set, order the data, delete the lowest 10% of the entries and the highest 10% of the entries, and find the mean of the remaining entries. Complete parts (a) through (c). (a) Find the 10% trimmed mean for the data. The 10% trimmed mean is (Round to the nearest tenth as needed.)

Auto Loans-George works for a credit union that serves a large, urban area. For his annual report, he wants to estimate the mean interest rate for 60- month fixed-rate auto loans at lending institutions (banks, credit unions, auto dealers, etc.) in his area. George selects a random sample of 12 lending institutions and obtains the following rates: 3.79 5.01 5,16 3.12 4.49 5.02 n = 5.58 4.08 4.01 7.02 4.33 3.64 Round all calculated answers to 4 decimal places. George calculates a sample mean of 4.6042 and a sample standard deviation of 1.0421. 1. Calculate a 90% confidence interval for the mean interest rate for 60-month fixed-rate auto loans at lending institutions in George's area. Assume necessary conditions have been met and round your result to 4 decimal places. After calculating the interval, George decides he wants to estimate the interest rate for 60-month fixed-rate auto loans at 90% confidence with a margin of error of no more than 0.13. 2. Using George's initial sample…

A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a = 0.05 level of significance. Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H,: The distribution of colors is the same as stated by the manufacturer. Observed Distribution of Colors B. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. Colored Candies in a bag C. None of these. Color Brown Yellow Red Blue Orange Green Frequency Claimed Proportion 60 65 55 63 78 65…

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 10%10% of scores B: Scores below the top 10%10% and above the bottom 63%63% C: Scores below the top 37%37% and above the bottom 20%20% D: Scores below the top 80%80% and above the bottom 7%7% F: Bottom 7%7% of scores Scores on the test are normally distributed with a mean of 71.571.5 and a standard deviation of 9.59.5. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

General Social Survey (GSS) 2006 collected the data of the number of people in each household in the U.S.   Question: Describe the shape of the distribution. Skewed to the left, or positively skewed Skewed to the left, or negatively skewed Not skewed, or (almost) symmetrical Skewed to the right, or positively skewed Skewed to the right, or negatively skewed

The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 31 29 34 28 34 26 28 Actor (years) 59 40 39 40 30 32 54 a. Use the sample data with a 0.05 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Ho Md 42 27 33 40 41 43 year(s) year(s) H₁ H (Type integers or decimals. Do not round.) Identify the…

The  following data recorded the time it took for a sample of seven different species of frogs'and toads'eggs to hatch. 6     7     11     5     5     10     6     9 What is the median of the above data?