In a law office, the average number of billed hours per day was 146 last year. In the first 75 days of this year, the average number of billed hours per day is 160 with a standard deviation of 56 hours. When testing the hypothesis (at the 10% level of signficance) that the average number of billed hours per day has increased, what test statistic? (please round your answer to 2 decimal places)

Find the standard deviation of the following numbers (Round your answer to 4 decimal places.):  1, 4, 4, 7, 7, 7, 11, 11, 14, 16, 16

Nintendo is doing a classic game competition for the anniversary of Super Mario Bros. The average runtime for a straight playthrough is 1 hour and 58 minutes (with a standard deviation of 6 minutes). Out of all of the players who compete in this competition (120 players), the fastest 10% will get a chance at a special reward. What would be the benchmark playthrough time for this competition?

The honors program at Brad's university only accepts students with an entrance exam score over 400. What percentage of students would be eligible if the students at Brad's school have an average exam score of 250, with a standard deviation of 80?

The mean mathematics score for seniors who took the SAT in 2018 was 531. If the standard deviation for this same year was 118, what is the z score for a person who received an SAT mathematics score of 685? a. -1.31 b. -0.77 c. +1.31 d. +0.77

Imagine 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? Click the icon to view the table of z-scores. Of the 200 persons, approximately will meditate more than 43 minutes per day. (Round to the nearest whole number as needed.)

A survey was given to 357 people asking whether people like dogs and/or cats. 172 said they like dogs 169 said they like cats 86 sald they don't like cats or dogs. How many said they liked both cats and dogs? people liked both cats and dogs.

Londell, an accomplished marathon runner, claims that the standard deviation for his time to run a 26.2 mile marathon is less than 11.1 minutes. To test his claim, Londell looks up 17 of his race times (in minutes): 238.6, 240, 231.4, 241.4, 251.9, 230.4, 232.1, 235.7, 234.6, 242.9, 240.5, 237.6, 242.2, 245.7, 235.7, 240.2, 233.9 Perform a hypothesis test using a 1% level of significance to test Londell's claim. Step 1: State the null and alternative hypotheses. Ho:o Ha:o (So we will be performing a left-tailed 11.1 11.1 Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. Because we are testing the population standard deviation, we will use a x² distribution with 16 ✓degrees of freedom. P(x² ? ✓✓test.) Step 3: Find the p-value of the test statistic. Sample Mean: = Sample Standard Deviation: s = p-value = Submit Part Part 3 of 4

According to a gallup survey of boys 77% of boys had played computer games in the past week compared to 65% of girls. You take and SRS of 104 boys and 120 girls\ Would it be reasonable to use the standard deviation formula?

joans finishing time for the bolder boulder 10k race was 1.77 standard deviations faster than the womens average for her age group. there were 415 women in her group. assuming a normal distribution, how many women ran faster than joan? rounded down to the nearest whole number