Statistics: set 4

For a confectionery workshop's sales: the price index is 108% and the physical volume (quantity) index of products sold is 125%. What is the sales value (revenue) index?

In the current month a canteen bought 30 kg of meat (the price rose from 80 000 to 88 000 soum) and 100 kg of carrots (the price rose from 5 000 to 6 000 soum). What is the aggregate price index weighted by current-period quantities (Paasche formula: Σp1q1 / Σp0q1)?

A city bus was late on six trips by (minutes): 4, 11, 7, 2, 15, 9. What is the range of this series?

According to three years of data from the "Qorbobo" ice cream kiosk, average sales in July are 45 mln soum, while average monthly sales across all months are 30 mln soum. What is the seasonality index for July?

A tea shop calculated the linear correlation coefficient between advertising spending and weekly sales: r = 0.9. What share of the variation in sales does the coefficient of determination (r²) explain as linked to advertising?

The 40 workers of the "Charxpalak" sewing workshop are being divided into 4 equal-interval groups by monthly wage. The lowest wage is 3 mln soum, the highest is 11 mln soum. What will be the width of each interval?

To study customers' waiting time in the queue, a post office observed 36 customers using repeated (with-replacement) random sampling. The standard deviation in the sample is 12 minutes. What is the mean sampling error of the average (σ / √n)?

Last year "Bahor mebel" sold products worth 200 mln soum. This year's plan was set at 105% of last year, and the plan was fulfilled at 104%. What is the relative dynamics indicator of sales compared with last year?

The relationship between a flower shop's weekly sales (y, million soums) and its advertising spending (x, million soums) is expressed by the paired linear regression equation y = 12 + 3x. If 5 million soums are spent on advertising, what sales does the equation predict?

At the Baraka Tikuv sewing workshop a worker's nominal wage was 120% of last year's, while the consumer price index over the same period was 108%. What is the real wage index (to one decimal place)?