Suppose that the height of LIU female students has normal distribution with mean 62 inches and standard deviation 8 inches. The height below which is the shortest 30.15% of the female students is
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Suppose that the height of LIU female students has
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- The Pew Internet and American Life Project surveyed 351 adults in 2019, asking them about their texting habits. Among men, the mean number of text messages sent per day was 54.2, and among women it was 58.6. Assume that 107 men and 244 women were sampled, and that the standard deviations were 24.3 for men and 20 for women. Can you conclude that the mean number of text messages differs between men and women? Use the a = 0.08 level. a. State the null and alternative hypotheses. Ho: H₁ V OF H₂ H₁: H₁ ✓ -3 -2 -1 0 b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: Critical value(s): homin 2 3 -3 -2 -1 0 2 3 -3 -2 -1 0 -1.756, 1.7 x c. Find the test statistic. = V -1.773 X OF (If there are two critical values, list both values separated by a comma) d. Find the p-value. H₂ 0.0771 X 2 3 ४Suppose the distribution of typing speeds in words per minute for experienced typists can be approximated by a normal curve with a mean of 60 wpm and a standard deviation of 15 wpm. Approximately what percent of these typists have typing speeds between 45 wpm and 90 wpm?The height of men is a normally distributed variable with a mean of 68 inches and a standard deviation of 3 inches. Round to ONE decimal place. A) what is the minimum height you could be to be considered in the top 5% of tallest men? B) what is the tallest you could be to be considered in the shortest 15% of men?
- A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for whites and 33 years for nonwhites. (Click here for reference data) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 110 whites surveyed, the mean life span was 48.2 years with a standard deviation of 11.2 years and of the 95 nonwhites, the mean life span was 39.3 years with a standard deviation of 16 years. Conduct a hypothesis test at the 0.05 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Preliminary: Is it safe to assume thatnw≤5% of all white people born in 1900 andnnw≤5% of all nonwhite people born in 1900? No Yes Is nw≥30 and nnw≥30 ? No Yes Test the claim: Determine the null and alternative hypotheses. H0: μw μnw Ha: μw μnw Determine the test statistic. Round to four…Problem 2 A certain video game company is planning an update on a popular competitive video game. The characters in the game should be "well – balanced", that is, of all contests involving a certain character, the player using this character should win about 50% of the contests. They decide to run a test of significance, and will change the parameters for the character only if they get a highly significant result. In a simple random sample of 400 contests involving the character, it won 232 times. Should they adjust the parameters to weaken that character?
- Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph.What is the equation for The standard deviation of the distribution of sample meansImagine that for those who meditate daily, the number of minutes in meditation has mean 35 and standard deviation 10. In a group of 200 such persons, how many are expected to meditate more than 43 minutes per day?
- Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters? childrenIn 2011, the mean property crime rate (per 100,000 people) for 10 northeastern regions of a certain country was 2367. The standard deviation was 394. Assume the distribution of crime rates is unimodal and symmetric. What percentage of northeastern regions would you expect to have property crime rates between 1973 and 2761.The average cost for one year of college is $20,000 with a standard deviation of $2,000. Also, it is known that the costs are normally distributed. What are the minimum and the maximum cost of the middle 95% of college students?