The salary of the staff of the company is under the normal distribution. The salaries of the 18 employees are randomly selected and following data were received: [x = 4464; Ex² = 1150000. Find a 95% confidence interval for the population mean.
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- A set of n=4 pairs of X and Y value has SSx=6, SSy=18, and SP=9, for these data, what is the pearson correlation?Assume that the heights of women are normally distributed with a mean of 62.9 inches and a standard deviation of 2.4 inches. Find Q3, the third quartile that separates the bottom 75% from the top 25%.Unfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of u = 8 parts per billion (ppb) is considered safe for agricultural use. A well in Los Banos is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of = 7.3ppb arsenic. It is known that o = 1.9 ppb for this type of data. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use the classical approach. Use a = 0.01 What is the Decision (step 5) for this problem? There is not sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 7.3 ppb. O There is sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 8.0 ppb. There is not sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 8.0 ppb. O There is…
- Given that age of ECU students is normally distributed. A random sample of 16 students had an average age of 25 years and a variance of 4 square years. The 98% CI for the true average age of all ECU students is?Assume that the heights of women are normally distributed with a mean of 62.4 inches and a standard deviation of 1.6 inches. Find Q3 the third quartile that separates the bottom 75% from the top 25%The Department of Agriculture wants to determine whether the mean yield per acre for a particular variety of soybeans is different this year compared to the historical avg yield of 520 bushels per acre. Thus, the null and alternative hypotheses are Ho: mu = 520 Ha: mu is not = to 520 You set out to conduct a hypothesis test at the 95% level. Mean yields are distributed Normally. You take a sample of 36 different acres. From this sample, you calculate a mean yield of 573 and a std deviation of 24. Do you reject or not-reject the null hypothesis? Group of answer choices Do not reject the null hypothesis. Reject the null hypothesis.
- The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal toThis question applies to the next 3 MCQs. Wire wound resistors are being custom made for a Design House with a maximum specification of 305.70 ohms and a minimum specification of 304.55 ohms. If the resistance is higher it can be reworked, if lower they must be scrapped. The resistors manufactured follow a normal distribution with a mean of 305.2 ohms and a standard deviation of 0.25 ohms. What percentage of the resistors are scrap (approximately)? 5% 2% 0.1% 0.5% 1%Suppose data is collected to predict y from x. If the size of Sample ✓ Calculate the p-value if the test statistic is t = -1.38
- Alpha equals 0.01 level of significance for the given sample data.You are asked to calculate the 94% Cl for the mean value of a normally distributed population with known variance = 144. Which of the following critical values should be used?Q1. For the giving dataset (X) below, calculate the following X= (455.2, 676.7, 784.7, 349.1, 437.5, 678.3, 760.2, 788.4, 278.3 and 455.2} 1) The Range ( 2) The Mode 3) The variance ( ).