To estimate the average number of customers entering and buying at the supermarket, the supervisor of that supermarket estimated the number of customers visiting every 5 minutes. She randomly selects 5- min intervals and counts the number of arrivals at the supermarket. The figures 58, 32, 41, 47, 56, 80, 45, 29, 32, and 78 were obtained and tallied. The analysts assume that the number of arrivals is normally distributed. Based on these data, find the point estimate,

A survey of 700 non fatal accidents showed that 287 involved defective equipment.  Find a point estimate for p, the population proportion of accidents that involved defective equipment and round to 4 decimal places if needed.

A    sports    psychologist    wants    to    compare    the    running    time    for    athletes vs    non-athletes    while    running    1    mile.    He    collects    data    from    226    non-athletes    and    166    athletes and    analyzes    it    using    SPSS.

The average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 367, 374, 364, 388, 407, 369, 375, 362, 403, 383, 381, 391, 371 What can be concluded at the the αα = 0.10 level of significance level of significance?    The test statistic =     (please show your answer to 3 decimal places.) The p-value =         (Please show your answer to 4 decimal places.)