According to Center for Disease Control as of 2016, the average height for American women 20 years old and up is just under 5 foot 4 inches (about 63.7 inches) tall. The approximate standard deviation is 3.3 inches. You conducted a study on 50 random women in Fort Bend County and found an average of 62 inches only. Is this evidence that the average female height in Fort Bend County is slightly below the national average?

Lydia Hayward is an external research consultant hired by FirstCard, a major credit card company, to find evidence that the population mean total credit card balance is greater for adults ages 25 to 34 with a college degree than for those without a college degree. Due to research already conducted by FirstCard, Lydia assumes that the population standard deviation is $2,047.24 for adults ages 25 to 34 with a college degree and $1,749.65 for those without a college degree. She conducts a survey and randomly selects adults ages 25 to 34 with a college degree and those without a college degree to ask for their total credit card balance. The results of the samples are shown in the table below. Let μ1 be the population mean total credit card balance for adults ages 25 to 34 with a college degree and μ2 be the population mean total credit card balance for adults ages 25 to 34 without a college degree. What type of test is this hypothesis test? Select the correct answer below: A) This is a…

Imagine that every elementary school in California is measured on several characteristics and then given an overall Quality Score.  In Los Angeles Unified School District, the schools have an average (mean) quality score of 101.8 with a standard deviation of 7.2.  One school in Los Angeles, Carver Elementary, gets a quality score of 104.5.  In San Francisco Unified School District, the schools have an average (mean) quality score of 102.3 with a standard deviation of 9.4.  One school in San Francisco, Bryant Elementary, gets a quality score of 99.5.  Find the Z-scores for both of these two schools (Carver Elementary in Los Angeles, and Bryant Elementary in San Francisco)

What is the lowest standard deviation value ?

A study by the National Center for Health Statistics suggested that women between the ages 20 and 29 in the US have a mean BMI of 26.8 with a standard deviation of 7.4. A BMI of 30 or greater is considered as being obese. What proportion of women in this age range are obese?

Suppose a new drug is intended to improve walking distance in patients with Parkinson’s Disease. A researcher measures patients’ walking distance in feet before and after trying the drug for 9 weeks. What type of statistical test

According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches.  If Zsike is 67 inches tall, what is her z-score?

The Wechsler IQ test is normally distributed with mean 100 points and standard deviation 15 points. Andy Warhol was found to have an IQ of 86 on the Wechsler IQ test. What was his z-score, and what does it mean?​ ​

In 2021, the CDC estimated the mean height of U.S. women aged 20 years old and over was 63.5 inches with a standard deviation of 5.2 inches. (https://www.cdc.gov/nchs/fastats/body-measurements.htm) What is the expected mean for a sample of 150 women? What is the standard deviation of the mean for a sample of 150 women? What is the probability of 150 women having a sample mean below 60 inches? What is the probability of 150 women having a sample mean above 65 inches? What is the probability of 200 women having a sample mean below 60 inches? Notice the change in sample size. What is the probability of 200 women having a sample mean above 65 inches?

Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).   Scores on the MCAT are approximately Normal with a mean of 25 and a standard deviation of 6.5. If the School of Health Sciences interviews one WSSU student about their score on the MCAT. What is the probability that their score be between 21 and 30?